Publications

List of Lorenz Kramer's Publications:

Thermodynamic Behavior of Type-II Superconductors with small κ near the Lower Critical Field
Phys. Letters 23, 619 (1967).
Vortex Nucleation in Type-II Superconductors
Phys. Letters 24A, 571 (1967).
Stability Limits of the Meissner State and the Mechanism of Spontaneous Vortex Nucleation in Superconductors
Phys. Rev. 170, 475 (1968).
Thermodynamic Stability of Superfluid Flow Through Channels
Phys. Rev. 179, 149 (1969).
Low-Temperature Mobility of the Electron Bubble in Dilute 3He-4He Mixtures and Pure He-II
Phys. Rev. A 1, 1517 (1970).
Low Temperature Ion Mobility in Fermi Liquids
Phys. Rev. A 2, 2063 (1970).
C. Fan, L. Kramer, and M. J. Stephen
Fluctuations and Light Scattering in Cholesteric Liquid Crystals
Phys. Rev. A 2, 2482 (1970).
Thermodynamic Behavior of Type-II Superconductors with small κ near the Lower Critical Field
Phys. Rev. B 3, 3821 (1971).
Theory of Light Scattering from Fluctuations of Membranes and Monolayers
J. Chem. Phys. 55, 2097 (1971).
L. Kramer and W. Pesch
Calculation of the Vortex Structure at All Temperatures
in Low Temperature Physics LT-13, Proc. 13th Int. Conf. on Low Temp. Phys., Boulder, Colorado, 1972, Plenum, New York, 1973.
Interaction of Vortices in Type II Superconductors and the Behavior near H_c1 at Arbitrary Temperature
Z. Phys. 258, 367 (1973).
L. Kramer and W. Pesch:
Isolated Vortex Structure and the Lower Critical Field for Clean Type-II Superconductors far from T_c,
Solid State Comm. 12, 549 (1973).
Breakdown of the Superheated Meissner State and Spontaneous Vortex Nucleation in Type II Superconductors,
Z. Phys. 259, 333 (1973).
L. Kramer, W. Pesch, and R. J. Watts-Tobin:
Local Structure and Thermodynamic Behavior of Dirty Superconductors in the Mixed State at Arbitrary Temperature,
J. Low Temp. Phys. 14, 29 (1974).
W. Pesch and L. Kramer:
Local Structure and Thermodynamic Properties of Clean Type II Superconductors near H_c1 at Arbitrary Temperature,
J. Low Temp. Phys. 15, 367 (1974).
L. Kramer, W. Pesch, and R. J. Watts-Tobin:
Density of States in Dirty Type II Superconductors near T_c,
Solid State Comm. 14, 1251 (1974).
R.J.Watts-Tobin, L.Kramer and W.Pesch:
Density of States, Entropy and Specific Heat for Dirty Type II Superconductors at Arbitrary Temperature,
J.Low Temp. Phys. 17, 71 (1974)
L. Kramer and W. Pesch
Core Structure and Low-Energy Spectrum of Isolated Vortex Lines in Clean Superconductors at T<<T_c
Z. Phys. 269, 59 (1974)
W. Pesch, R. J. Watts-Tobin and L. Kramer
Transport Coefficients in the Mixed State of Dirty Superconductors
Z. Phys. 269, 253 (1974)
L. Kramer, W. Pesch and R. von Seggern
Berechnung der Wirbelstruktur und des unteren kritischen Feldes von Typ II Supraleitern bei beliebiger Temperatur in Abhängigkeit von der freien Weglänge
Berichte der Kernforschungsanlage Jülich, Nr. 1149 (1974).
Interpretation of Invertebrate Photoreceptor Potentials in Terms of a Quantitative Model
Biophys. Struct. Mechanism 1, 239 (1975)
Core Structure and Low Energy Spectrum of Vortices in Clean Superconductors at T<<T_c
Proc. 14th Int. Conf. on Low Temp. Phys., Otaniemi, Finland, 1975, North Holland (1975), Vol. 2, S. 281.
The Problem of Nonstationary Ion Fluxes in Excitable Membranes
Biophys. Struct. Mechanism 2, 233 - 242 (1976)
L. Kramer and T. Widmann
Quantitative Model for the Electric Response of Invertebrate and Vertebrate Photoreceptors
Biophys. Struct. Mechanism 2, 333 - 336 (1977)
A. Baratoff and L. Kramer
Order Parameter Relaxation and Josephson Effects in Superconducting Weak Links
in Superconducting Quantum Devices and their Applications, H. Hahlbohm and H. Lübbig, eds., Walter de Gruyter, Berlin (1977).
L. Kramer and A. Baratoff
Lossless and Dissipative Current-Carrying States in Quasi-One-Dimensional Superconductors
Phys. Rev. Lett. 38, 518 (1977)
L. Kramer and R. J. Watts-Tobin
Theory of Dissipative Current-Carrying States in Superconducting Filaments
Phys. Rev. Lett. 40, 1041 (1978)
A. Baratoff and L. Kramer
Dynamics of Gapless Superconducting Weak Links
Proc. 15th Int. Conf. on Low Temp. Phys., Grenoble (1978), J. de Physique Supplement, S. C6 - 548.
J. Watts-Tobin and L. Kramer:
Theory of the Phase-Slip State in Superconducting Filaments,
Proc. 15th Int. Conf. on Low Temp. Phys., Grenoble (1978), J. de Physique Supplement, S. C6 - 554.
R. J. Watts-Tobin, Y. Krähenbühl, and L. Kramer:
Nonequilibrium Theory of Dirty Current-Carrying Superconductors: Phase-Slip Oscillators in Narrow Filaments Near T_c,
J. Low Temp. Phys. 42, 459 (1981)
On the Relative Stability of States and First-Order Phase Transitions in Systems far from Equilibrium,
Z. Phys. B 41, 357 (1981)
Bistable Nonequilibrium Systems without Absolutely Stable State,
Z. Phys. B 45, 167 (1981)
Absolute Stability and Transitions in Ecosystems with a Multiplicity of Stable States and Dispersal,
J. Theor. Biol. 98, 91 (1982)
L. Kramer, E. Ben-Jacob, H. Brand, and M. C. Cross:
Wavelength Selection in Systems far from Equilibrium,
Phys. Rev. Lett. 49, 1891 (1982)
L. Kramer and P. C. Hohenberg:
Effect of Boundaries on Periodic Patterns,
in Cellular Structures in Instabilities, J. E. Wesfreid and S.i Zaleski, eds., Springer, New York 1984).
L. Kramer and P. C. Hohenberg:
Effects of Boundaries on Spatially Periodic Structures,
Physica D 13, 357 (1984).
E. Ben-Jacob, H. Brand, G. Dee, L. Kramer, and J. S. Langer:
Pattern Propagation in Nonlinear Dissipative Systems,
Physica D 14, 348 (1982).
L. Kramer and R. Rangel:
Structure and Properties of the Dissipative Phase-Slip State in Narrow Superconducting Channels with and without Inhomogeneities,
J. Low Temp. Phys. 57, 391 (1984).
P. C. Hohenberg, L. Krameri, and H. Riecke:
Effects of Boundaries on One-Dimensional Reaction Diffusion Equations near Threshold,
Physica D 15, 402 (1985).
L. Kramer and W. Zimmermann:
On the Eckhaus Instability for Spatially Periodic Patterns,
Physica D 16, 221 (1985).
W. Zimmermann and L. Kramer:
Wavenumber Restriction in the Buckling Instability of a Rectangular Plate,
J. Physique 46, 343 (1985).
H. Riecke and L. Kramer:
Surface-induced chemical oscillations and their influence on space- and time-periodic patterns,
J. Chem. Phys. 83, 3941 (1985).
L. Kramer and H. Riecke:
Wavelength Selection in Rayleigh-Benard Convection,
Z. Phys. B 59, 245 (1985).
W. Zimmermann and L. Kramer:
The Oblique-Roll Electrohydrodynamic Instability in Nematics,
Phys. Rev. Lett. 55, 402 (1985).
W. Pesch and L. Kramer:
Nonlinear Analysis of Spatial Structures in Two-Dimensional Anisotropic Pattern Forming Systems,
Z. Phys. B 63, 121 (1986).
W. Zimmermann and L. Kramer:
Periodic Splay-Twist Fredericksz Transition in Nematic Liquid Crystals,
Comment in Phys. Rev. Lett. 56, 2655 (1986).
E. Bodenschatz and L. Kramer:
Influence of Lateral Boundaries on the Eckhaus Instability in Anisotropic Pattern-Forming Systems,
Physica 27D, 249-259 (1987).
R. Rangel and L. Kramer:
Theory of Periodically Driven Current-Carrying Superconducting Filaments I: Spatially Homogeneous States,
J. Low Temp. Phys. 68, 85 (1987).
U. Klein, L. Kramer, W. Pesch, D. Rainer, and J. Rammmer:
Microscopic Calculations of Vortex Structure and Magnetization Curves for Type II Superconductors,
Acta Phys. Hung. 62/1, 27 (1987)
L. Kramer, E. Bodenschatz, W. Pesch, and W. Zimmermann:
Pattern Selection in Anisotropic Systems,
in The Physics of Structure Formation: Theory and Simulation, W. Güttinger and G. Dangelmayr, eds., Springer, New York 1987, p. 130.
H.-G. Paap and L. Kramer:
Wavenumber Restriction in Systems with Discontinuous Nonlinearities and the Buckling Instability of Plates,
J. Physique 48, 1471 (1987)
J. Rammer, W. Pesch, and L. Kramer:
Thermodynamic Behavior of Type II Superconductors at Low Induction for Arbitrary Temperature and Impurity Content,
Z. Phys. B68, 49 (1987)
L. Kramer, W. Zimmermann, E. Bodenschatz, and W. Pesch:
Pattern-Selection in Convective Instabilities with Axial Anisotropy,
in Propagation in Nonequilibrium Systems, J. E. Wesfreid et.al., eds., Springer, New York (1988).
L. Kramer, H. R. Schober, and W. Zimmermann:
Pattern Competition and the Decay of Unstable Patterns in quasi-one-dimensional Systems,
Physica D31, 212-226 (1988).
W. Zimmermann, D. Armbruster, L. Kramer, and W. Kuang:
The Effect of Spatial Modulations on Codimension-2 Bifurcations,
Europhys. Lett. 6, 505 (1988)
E. Bodenschatz, W. Pesch, and L. Kramer:
Structure and Dynamics of Dislocations in Anisotropic Pattern-Forming Systems,
Physica D 32, 135 - 145 (1988)
E. Bodenschatz, W. Zimmermann, and L. Kramer:
On Electrically Driven Pattern-Forming Instabilities in Planar Nematics,
J. Physique 49, 1875 (1988)
W. Thom, W. Zimmermann, and L. Kramer:
The Influence of the Flexoelectric Effect on the Electrohydrodynamic Instability in Nematics,
Liquid Crystals 4, 309 (1989)
A. J. Ritger, H. Meissner, R. Rangel, and L. Kramer:
Nonequilibrium Contributions to the Electric Response of Dirty Superconductors,
J. Low Temp. Phys. 73, 221 (1988)
L. Kramer and R. Rangel:
Hysteresis in the Phase-Slip State of Superconducting Filaments: A Discussion, J. Low Temp.
Phys. 75, 65 (1989)
R. Rangel and L. Kramer:
Theory of Periodically Driven Current-Carrying Superconducting Filaments II: Stability Limits of the Homogeneous State, Periodic and Chaotic PhaseSlip State,
J. Low Temp. Phys. 74, 163 (1989)
L. Kramer, E. Bodenschatz, W. Pesch, W. Thom, and W. Zimmermann:
New Results on the Electrohydrodynamic Instability in Nematics,
Liquid Crystals 5, 699 (1989)
E. Bodenschatz, M. Kaiser, L. Kramer, W. Pesch, A. Weber, and W. Zimmermann:
Patterns and Defects in Liquid Crystals,
in New Trends in Nonlinear Dynamics and Pattern Formation Phenomena: The Geometry of Nonequilibrium, P. Coullet and P. Huerre, eds., NATO ASI Series B 237, Plenum Press, 1990, p. 111 - 124.
Á. Buka, M. de la Torre, L. Kramer, and I. Rehberg:
Transient Structures in the Freédericksz transition,
Phys. Rev. A 40, 7427 (1989)
L. Kramer, E. Bodenschatz, and W. Pesch:
On the Interaction and Dynamics of Defects in Anisotropic Pattern-Forming Systems,
Comment in Phys. Rev. Lett 64, 2588 (1990)
E. Bodenschatz, A. Weber, and L. Kramer:
Structure and Dynamics of Spiral Waves and Defects in Travelling Waves,
in Nonlinear Wave Processes in Excitable Media, A.V. Holden, M.Markus H.G. Othmer, Eds., NATO ASI Series B 244, Plenum Press (1990).
B. L. Winkler, Á. Buka, and L. Kramer:
The Dynamics of Transient Structures in the Freedericks Transition.
in Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, F. H. Busse and L. Kramer, Eds., NATO ASI Series, Plenum Press, 1990, p. 319 - 325.
A. Weber, E. Bodenschatz, and L. Kramer:
Defects in Continuous Media,
Adv. Materials 3, 191 - 197 (1991)
B. L. Winkler, H. Richter, I. Rehberg, W. Zimmermann, L. Kramer, and Á. Buka:
Nonequilibrium Patterns in the Electric Field Induced Splay Freedericksz Transition.
Phys. Rev. A 43, 1940 - 1951 (1991)
W. Pesch, W. Decker, Q. Feng, M. Kaiser, L. Kramer, and A. Weber:
Weakly Nonlinear Analysis of Pattern Formation in Nematic Liquid Crystals.
in Defects, Singularities and Patterns in Nematic Liquid Crystals: Mathematical and Physical Aspects, J. M. Coron, F. Helein and J. M. Ghidaglia, Eds., NATO ASI Series, Kluwer, 1991, p. 291 - 301.
E. Bodenschatz, A. Weber, and L. Kramer:
Interaction and Dynamics of Defects in Convective Roll-Patterns of Anisotropic Fluids.
J. Stat. Phys. 64, 1007 - 1015 (1991)
B. Janiaud. A. Pumir, D. Bensimon, V. Croquette, H. Richter, and L. Kramer:
The Eckhaus Instability for Travelling Waves.
Physica D 55, 269 (1992)
I. S. Aranson, L. Kramer, and A. Weber:
Interaction of Spirals in Oscillatory Media.
Comment in Phys. Rev. Lett. 67, 404 (1991)
I. S. Aranson, L. Kramer, and A. Weber:
On the Interaction of Spiral Waves in Non-equilibrium Media.
Physica D 53, 376 (1991)
M. O. Caceres, A. Becker, and L. Kramer:
On the Asymptotic Probability Distribution for a Supercritical Bifurcation Swept Periodically in Time.
Phys. Rev. A 43, 6581 - 6591 (1991)
W. Schöpf and L. Kramer:
Small-Amplitude Periodic and Chaotic Solutions of the Complex Ginzburg-Landau Equation for a Subcritical Bifurcation.
Phys. Rev. Lett. 66, 2316 - 2319 (1991).
Q. Feng, W. Pesch, and L. Kramer:
On the Theory of Rayleigh-Ben&aacuterd Convection in Planar Nematics.
Phys. Rev. A 45, 7242-7256 (1992).
H. Riecke and L. Kramer:
Wie findet der Taylor-Wirbel seine Grösse?: Selektion und Phasendiffusion in Strukturen fern vom Gleichgewicht.
Phys. Blätter 48, 17 - 21 (1992)
Á. Buka and L. Kramer:
Theory of Nonlinear Transient Patterns in the Splay Freedericksz Transition.
Phys. Rev. A 45, 5624 - 5631 (1992)
A. Weber and L. Kramer:
Dissipative States in a Current-Carrying Superconducting Film.
J. Low Temp. Phys. 84, 289 - 299 (1991)
Á. Buka and L. Kramer:
Linear and Nonlinear Transient Patterns in the Splay Freedericksz Transition of Nematics.
J. Physique II 2, 315 - 326 (1992)
I. S. Aranson, L. Aranson, L. Kramer, and A. Weber:
Stability Limits of Spirals and Traveling Waves in Nonequilibrium Media.
Phys. Rev. A 46, R2992-R2995 (1992)
A. Weber, L. Kramer, I. S. Aranson, and L. B. Aranson:
Stability Limits of Traveling Waves and the Transition to Spatiotemporal Chaos in the Complex Ginzburg-Landau Equation.
Physica D 61, 279 - 283 (1992)
M. Silber, H. Riecke, and L. Kramer:
Symmetry-Breaking Hopf Bifurcation in Anisotropic Systems.
Physica D 61, 260 - 278 (1992)
A. Becker, M. O. Caceres, and L. Kramer:
Correlation Function in Stochastic Periodically Driven Instabilities.
Phys. Rev. A 46, 4463 - 4466 (1992)
O. Stiller, A. Becker, and L. Kramer:
Noise-Induced Transitions Between Attractors in Time-Periodically Driven Systems.
Phys. Rev. Lett. 68, 3670 - 3673 (1992).
Á. Buka and L. Kramer:
Theory of Transient Patterns in the Splay Freedericksz Transition of Nematics.
in Pattern Formation in Complex Dissipative Systems, S. Kai, Ed., World Scientific, Singapore 1992, p. 303 - 308.
Q. Feng, W. Decker, W. Pesch, and L. Kramer:
On the Theory of Rayleigh-Benard Convection in Homeotropic Nematic Liquid Crystals.
J. Physique, II 2, 1303 - 1325, (1992)
A. Hertrich, W. Decker, W. Pesch, and L. Kramer:
The Electrohydrodynamic Instability in Homeotropic Nematic Layers.
J. Physique II 2, 1915 - 1930 (1992)
L. Kramer, A. Hertrich, and W. Pesch:
Electrohydrodynamic Convection in Nematics: The Homeotropic Case.
in Pattern Formation in Complex Dissipative Systems, S. Kai, Ed., World Scientific, Singapore 1992, p. 238 - 246.
I. S. Aranson, L. Kramer, and A. Weber:
Dynamics of Vortices in Current-Carrying Superconducting Films.
J. Low Temp. Phys. 89, 859 - 868 (1992)
I.S. Aranson, L. Kramer, and A. Weber:
Stability Limits of Defects and Spatio-Temporal Chaos in Nonequilibrium Media.
in Instabilities and Nonequilibrium Structures IV, E. Tirapegni and W. Zeller, Eds., Kluwer Academic Publishers, Dordrecht 1993, p. 259 - 272.
I.S. Aranson, L. Kramer, and A. Weber:
The Theory of Interaction and Bound States of Spiral Waves in Oscillatory Media.
Phys. Rev. E 47, 3231 - 3241 (1993).
I. Aranson, L. Kramer, and A. Weber:
The Formation of Asymmetric States of Spiral Waves in Oscillatory Media.
Phys. Rev. E 48, R9-R12 (1993).
S. Popp, O. Stiller, I. Aranson, L. Kramer, and A. Weber:
Localized Hole Solutions and Spatio-Temporal Chaos in the 1d Complex Ginzburg-Landau Equation.
Phys. Rev. Lett. 70, 3880 - 3883 (1993).
A. P. Krekhov, L. Kramer, Á. Buka, A. N. Chuvyrov: '
Flow Alignment of Nematics under Oscillatory Shear.
Journal de Physique II 3, 1387 - 1396 (1993)
A. Becker and L. Kramer:
Linear Stability Analysis for Bifurcations in Spatially Extended Systems with Fluctuating Control Parameters.
Phys. Rev. Lett. 73, 955-958 (1994).
M. Treiber and L. Kramer:
Stochastic Envelope Equations for Nonequilibrium Transitions and Applications to Electroconvection in Nematic Liquid Crystals.
Phys. Rev. E 49, 3184-3198 (1994).
H. Riecke, M. Silber, and L. Kramer:
Temporal Forcing of Small-Amplitude Waves in Anisotropic Systems.
Phys. Rev. E 49, 4100-4113 (1994).
I. Aranson, L. Kramer, and A. Weber:
The Theory of Motion of Spiral Waves in Oscillatory Media.
in Spatio-Temporal Patterns in Nonequilibrium Complex Systems, P. Cladis and P. Palffy-Muhoray, eds., Santa Fe Institute Series, Addison-Wesley, 1994, p.479-497.
I. Aranson, L. Kramer, and A. Weber:
The Core Instability and Spatio-Temporal Intermittency of Spiral Waves in Oscillatory Media.
Phys. Rev. Lett. 72, 2316-2319 (1994).
A. P. Krekhov and L. Kramer:
Orientational Instability of Nematics under Oscillatory Flow.
Journal de Physique II, 4, 677 - 688 (1994)
Á. Buka, T. T. Katona, and L. Kramer:
Equilibrium Shapes of a Nematic-Smectic B Interface.
Phys. Rev. E 49, 5271-5275 (1994)
L. Kramer, F. Hynne, P. Graae Sorensen, and D. Walgraef:
The Ginzburg-Landau approach to oscillatory media.
Chaos 4, 443-452 (1994).
L. Kramer and W. Pesch:
Convection Instabilities in Nematic Liquid Crystals.
Annu. Rev. Fluid. Mech. 27, 515 (1995)
Á. Buka, T. T. Katona, and L. Kramer:
Free Growth Properties of a Nematic-Smectic B Interface.
Phys. Rev. E 51, 571-578 (1995).
S. Popp, O. Stiller, I. S. Aranson, and L. Kramer:
Hole Solutions in the 1d Complex Ginzburg-Landau Equations.
Physica D 84, 398-423 (1995)
O. Stiller, S. Popp, and L. Kramer:
From dark solitons in the defocusing nonlinear Schrödinger to holes in the complex Ginzburg-Landau equation.
Physica D 84, 424-436 (1995)
S. Popp, O. Stiller, I. S. Aranson, and L. Kramer:
All we know about hole solutions in the CGLE.
Physica D 87, 361-370 (1995)
A. Becker and L. Kramer:
Linear stability analysis for bifurcations in spatially extended systems with fluctuating control parameter.
Physica D 90, 408-430 (1996)
M. Treiber and L. Kramer:
Bipolar electrodiffusion model for electroconvection in nematics.
Proc. 15th ICLL, Mol. Cryst. Liq. Cryst. 261, 951/311 (1995)
M. Dennin, M. Treiber, L. Kramer, G. Ahlers, and D. S. Cannell:
Origin of the Hopf bifurcation in electroconvection.
Phys. Rev. Lett. 76, 319 (1995).
L. Kramer, E. A. Kuznetsov, S. Popp, and S. K. Turitsyn:
Optical pulse collapse in defocusing active medium,
Pis'ma v ZhETF 61 887-892 (1995).
W. Pesch and L. Kramer:
General mathematical description of pattern-forming instabilities.
in Pattern Formation in Liquid Crystals, Á. Buka and L. Kramer, eds., Springer, 1996, pp.69-90.
L. Kramer and W. Pesch:
Electrohydrodynamic instabilities in nematic liqud crystals.
in Pattern Formation in Liquid Crystals, Á. Buka and L. Kramer, eds., Springer, 1996, pp.221-255.
A. P. Krekhov and L. Kramer:
Flow-Alignment Instability and Slow Director Oscillations in Nematic Liquid Crystals under Oscillatory Flow.
Phys. Rev. E 53, 4925-4932 (1996).
A. G. Rossberg, A. Hertrich, L. Kramer, and W. Pesch:
Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy.
Phys. Rev. Lett. 76, 4729 (1996).
R. González-Cinca, L. Ramírez-Piscina, J. Casademunt, A. Hernández-Machado, L. Kramer, T. Tóth Katona, T. Börzsönyi, and Á. Buka:
Phase-field simulations and experiments of faceted growth in liquid crystals.
Physica D 99, 359 (1996)
A. G. Rossberg, L. Kramer:
Weakly Nonlinear Theory of Electroconvection in Homeotropically Oriented Nematic Liquid Crystals.
Physica Scripta T67, 121-124 (1996)
M. Treiber, N. Éber, Á. Buka, and L. Kramer:
Travelling Waves in Electroconvection of the Nematic Phase 5: A test of the Weak-Electrolyte Model.
J. de Phys.II France 7, 649-661 (1997)
S. Popp, O. Stiller, E. Kuznetsov, and L. Kramer:
The Cubic Ginzburg-Landau Equation for a Backward Bifurcation.
Physica D 114, 81(1998).
J. Röder, H. Röder, and L. Kramer:
Linear stability analysis of bifurcations with spatially periodic, fluctuating control parameter.
Phys. Rev. E 55, 7068 (1997).
A. G. Rossberg and L. Kramer:
Pattern Formation From Defect Turbulence -- A Theory of Chevrons,
Physica D 115, 19 (1998)
E. Plaut, W. Decker, A. G. Rossberg, L. Kramer, W. Pesch, A. Belaidi, and R. Ribotta:
New symmetry breaking in nonlinear electroconvection of nematic liquid crystals.
Phys. Rev. Lett. 79, 2367 (1997).
T. Börzsönyi, A. P. Krekhov, Á. Buka and L. Kramer:
Response of a homeotropic nematic liquid crystal to rectilinear oscillatory shear.
Phys. Rev. E 58, 7419 (1998).
R. Faller and L. Kramer:
Ordered Defect Chains in the 2D anisotropic complex Ginzburg-Landau equation.
Chaos, Solitons and Fractals 10, 745 (1999)
M. Treiber and L. Kramer:
Coupled complex Ginzburg-Landau equations for the weak electrolyte model of electroconvection.
Phys. Rev. E 58, 1973-1982 (1998).
M. Scheuring, L. Kramer, and J. Peinke:
The formation of chevrons in the dielectric regime of electroconvection in nematic liquid crystals.
Phys. Rev. E 58, 2018-2026 (1998).
T. Börzsönyi, Á. Buka, and L. Kramer:
Study of the anisotropic surface tension, crystallization kinetics and heat diffusion in nonequilibrium growth of liquid crystals.
Phys. Rev. E 58, 6236-6245 (1998).
P. Toth, Á. Buka, J. Peinke, and L. Kramer:
On the dynamics of disordered patterns in electroconvection of homeotropically aligned nematic liquid crystals.
Phys. Rev. E 58, 1983-1991 (1998).
R. Faller and L. Kramer:
Phase chaos in the anisotropic complex Ginzburg-Landau Equation.
Phys. Rev. E 57, R6249 (1998).
I. S. Aronson, A. R. Bishop, and L. Kramer:
The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices.
Phys. Rev. E 57, 5276-5286 (1998).
H. Riecke and L. Kramer:
The stability of standing waves.
Physica D 137,124-142 (2000).
L. Kramer and W. Pesch:
Convective Instabilities in Liquid Crystals.
in Macromolecular Systems: Microscopic Interactions and Macroscopic Properties, Editoren H. Hoffmann et al., VCH, Weinheim (2000).
S. Rudroff, H. Zhao, L. Kramer, and I. Rehberg:
Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation.
Phys. Rev. Lett. 81, 4144-4147 (1998).
G. Dangelmayr and L. Kramer:
Mathematical Approaches to Pattern Formation.
in Evolution of Spontaneous Structures in Dissipative Continuos Systems, F. H. Busse and S. C. Müller, eds., Springer, New York (1998).
A. G. Rossberg, N. Éber, Á. Buka, and L. Kramer:
Abnormal and CRAZY rolls in homeotropic electroconvection.
Phys. Rev. E 61, R25-28 (2000).
J. Bragard, P. L. Ramazza, F. T. Arecchi, S. Boccaletti, and L. Kramer:
Domain segregation in a two-dimensional system in the presence of drift.
Phys. Rev. E 61, R6045-6048 (2000).
G. Demeter and L. Kramer:
Transition to Chaos via Gluing Bifurcations in Optically Excited Nematic Liquid Crystals.
Phys. Rev. Lett. 83, 4744-4747 (1999).
T. Börzsönyi, Á. Buka, A. P. Krekhov, O. A. Scaldin, and L. Kramer:
Director precession and nonlinear waves in nematic liquid crystals under elliptic shear.
Phys. Rev. Lett. 84, 1934-1937 (2000).
O. S. Tarasov, A. P. Krekhov, and L. Kramer:
Nematic liquid crystal under plane oscillatory shear.
Mol. Cryst. Liq. Cryst. 328, 573-580 (1999)
T. Toth-Katona, T. Börzsönyi, Á. Buka, R. Gonzalez-Cinca, L. Ramirez-Piscina, J. Casademunt, A. Hernandez-Machado, and L. Kramer:
Pattern forming instabilities of the nematic smectic-B interface.
Physics Reports 337, 37-65 (2000).
Á. Buka, P. Toth, N. Éber, and L. Kramer:
Electroconvection in homeotropically aligned nematics,
Physics Reports 337, 157-169 (2000).
A. P. Krekhov, T. Börzsönyi, P. Tóth, Á. Buka, and L. Kramer:
Nematic liquid crystals under oscillatory shear flow,
Physics Reports 337, 171-192 (2000).
M. Ipsen, P. G. Sørensen, and L. Kramer:
Amplitude equations for description of chemical reaction-diffusion systems.
Physics Reports 337, 193-235 (2000).
P. Tóth, A. P. Krekhov, L. Kramer, and J. Peinke:
Orientational transition in homeotropically aligned nematic liquid crystals under oscillatory Poiseuille flow.
Europhys. Lett. 51, 48-54 (2000).
L. Kramer, G. Gottschalk, V. I. Krinsky, A. Pumir, and V. V. Barelko:
Persistence of zero-velocity fronts in reaction-diffusion systems.
Chaos 10, 731-737 (2000).
N. Éber, A. Rossberg, Á. Buka, and L. Kramer:
New scenarios in the electroconvection of a homeotropic nematic liquid crystal.
Mol. Cryst. Liq. Cryst. 351, 161-168 (2000).
H. Zhao and L. Kramer:
Zigzag structures and domain walls in electroconvection of nematic liquid crystals.
Phys. Rev. E 62, 5092 (2000).
L. Kramer and W. Pesch:
Electrohydrodynamic Convection in Nematics,
in Physical properties of liquid crystals, Vol.I, D. A. Dunmur, A. Fukuda, and G. R. Luckhurst, eds., EMIS Datareview Series, IEEE (2001).
L. Kramer, B. Dressel, H. Zhao, and W. Pesch:
Theory of electroconvection for the gourmet.
Mol. Cryst. Liq. Cryst, 364, 101-110 (2001)
G. Demeter and L. Kramer:
Light-induced pattern formation in nematic liquid crystals.
Mol. Cryst. Liq. Cryst. 366, 807-814 (2001)
V. A. Delev, A. P. Krekhov, and L. Kramer:
Crossover between flexoelectric stripe patterns and electroconvection in hybrid aligned nematics.
Mol. Cryst. Liq. Cryst. 366, 849-856 (2001)
I. S. Aranson and L. Kramer:
The world of the Complex Ginzburg-Landau Equation.
Rev. Mod. Phys. 74, 99-143 (2002).
S. Komineas, F. Heilmann, and L. Kramer:
Patterns formed by spiral pairs in oscillatory media,
Phys. Rev. E 63, 011103 (2001).
O. S. Tarasov, A. P. Krekhov, and L. Kramer:
Influence of weak anchoring on the instabilities in nematic liquid crystal under steady flows,
Liquid Crystals 28, 833-839 (2001).
G. Demeter and L. Kramer:
Numerical investigation of optically induced director oscillations in nematic liquid crystals.
Phys. Rev. E, 64, 020701(R) (2001).
P. Toth, N. Éber, T. M. Bock, Á. Buka, and L. Kramer:
Dynamics of Defects in Electroconvection Patterns.
Europhys. Letters, 57, 824 (2002).
N. Éber, Sz. Nemeth, A. Rossberg, L. Kramer, Á. Buka:
Magnetic field effect on the thresholds of a sequence of transitions in the electroconvection of a homeotropic nematic.
Phys. Rev. E, 66, 036213 (2002).
Á. Buka, B. Dressel, W. Otowski, K. Camara, T. Toth-Katona, L. Kramer, J. Lindau, G. Pelzl, and W. Pesch:
Electroconvection in nematic liquid crystals with positive dielectric and negative conductivity anisotropy
Phys. Rev. E, 66, 051713 (2002).
G. Demeter and L. Kramer:
Theoretical Investigation of Optically Induced Director Oscillations in Nematics.
Mol. Cryst. Liq. Cryst. 375, 745-754 (2002).
D. O. Krimer, G. Demeter, and L. Kramer:
Pattern forming instability induced by light in pure and dye-doped nematic liquid crystals,
Phys. Rev. E, 66, 031707 (2002).
S. Komineas, H. Zhao, and L. Kramer:
Modulated structures in electroconvection in nematic liquid crystals,
Phys. Rev. E, 67, 031701 (2003).
P. Coullet and L. Kramer:
Retracting fronts induce spatio-temporal chaos
Chaos, 14, 244-48 (2004).
S. Takagi, A. Pumir, L. Kramer, and V. Krinsky:
Mechanism of standing wave patterns in cardiac muscle,
Phys. Rev. Lett., 90, 124101 (2003) (see also Virtual Journal of Biological Physics Research, http://www.vjbio.org, April 1, 2003).
O. S. Tarasov, A. P. Krekhov, and L. Kramer:
Dynamics of cholesteric structures in an electric field,
Phys. Rev. E, 68, 031708 (2003).
D. G. Miguez, E. M. Nicola, A. P. Munuzuri, J. Casademunt, F. Sagues, and L. Kramer:
Travelling-stripe forcing generates hexagonal patterns,
Phys. Rev. Lett. 14, 048303 (2004).
D. O. Krimer, G. Demeter, and L. Kramer:
Optically induced orientational transitions in nematic liquid crystals,
Mol. Cryst. Liq. Cryst. 421, 117 (2004).
Á. Buka, B. Dressel, L. Kramer, and W. Pesch:
Isotropic convection scenarios in an anisotropic fluid,
Phys. Rev. Lett. 14, 044502 (2004).
G. Gottwald and L. Kramer:
On propagation failure in 1- and 2-dimensional excitable media,
Chaos, 14, 855 (2004).
Á. Buka, B. Dressel, L. Kramer, and W. Pesch:
Direct transition to electroconvection in a homeotropic nematic liquid crystal,
Chaos, 14, 793-802 (2004).
F. Sagues, D. G. Miguez, E. M. Nicola, A. P. Munuzuri, J. Casademunt, and L. Kramer:
Travelling-stripe forcing of Turing patterns,
Physica D, 199, 235 (2004).
A. P. Krekhov and L. Kramer:
Phase separation in the presence of spatially periodic forcing,
Phys. Rev. E, 70, 061801 (2004).
D. Pazo, L. Kramer, A. Pumir, S. Kanani, I. Efimov, and V. Krinsky:
Pinning force in active media,
Phys. Rev. Lett., 93, 168303 (2004).
N. Éber, S. A. Rozanski, S. Nemeth, Á. Buka, W. Pesch, and L. Kramer:
Decay of spatially periodic patterns in a nematic liquid crystal,
Phys. Rev. E, 70, 061706 (2004).
D. O. Krimer, G. Demeter, and L. Kramer:
Influence of the backflow effect on the orientational dynamics induced by light in nematics,
Phys. Rev. E, 71, 051711 (2005).
A. Voit, A. Krekhov, W. Enge, L. Kramer, and W. Köhler:
Thermal patterning of a critical polymer blend,
Phys. Rev. Lett., 94, 214501 (2005).
E. Brasselet, T. V. Galstian, L. J. Dube, D. O. Krimer, and L. Kramer:
Bifurcation analysis of optically induced dynamics in nematic liquid crystals: circular polarization at normal incidence,
J. Opt. Soc. Am. B, 22, 1671 (2005).
D. O. Krimer, L. Kramer, E. Brasselet, T. V. Galstian, and L. J. Dube:
Bifurcation analysis of optically induced dynamics in nematic liquid crystals: elliptical polarization at normal incidence,
J. Opt. Soc. Am. B, 22, 1681 (2005).
E. Brasselet, D. O. Krimer, and L. Kramer:
Light-induced instabilities driven by competing helical patterns in long-pitch cholesterics,
Eur. Phys. J. E, 17, 403 (2005).
A. P. Krekhov and L. Kramer:
Theory of director precession and nonlinear waves in nematic liquid crystals under elliptical shear,
Phys. Rev. E, 72, 031705 (2005).
O. S. Tarasov, A. P. Krekhov, and L. Kramer:
Pattern-forming instabilities in nematic liquid crystals under oscillatory Couette flow,
Phys. Rev. E, 72, 031709 (2005).
I. Sh. Nasibullayev, O. S. Tarasov, A. P. Krekhov, and L. Kramer:
Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields,
Phys. Rev. E, 72, 051706 (2005).
G. Demeter, D. O. Krimer, and L. Kramer:
Numerical study of optically induced director oscillations in nematic liquid crystals: transition to chaos via homoclinic gluings and the role of backflow,
Phys. Rev. E, 72, 051712 (2005).
A. de Lózar, W. Schöpf, I. Rehberg, D. Svenšek, and L. Kramer:
Transformation from walls to disclination lines: statics and dynamics of the pincement transition,
Phys. Rev. E, 72, 051713 (2005).
S. Rüdiger, J. Casademunt, and L. Kramer:
Kinks in stripe forming systems under traveling wave forcing,
Discrete Contin. Dyn. Syst. B, 5, 1027 (2005).
D. G. Míguez, M. Dolnik, A. P. Muñuzuri, and L. Kramer:
Effect of axial growth on Turing pattern formation,
Phys. Rev. Lett., 96, 048304 (2006).
Á. Buka, N. Éber, W. Pesch, and L. Kramer:
Convective patterns in liquid crystals driven by electric field,
in Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems, A. A. Golovin and A. A. Nepomnyashchy, eds., Springer, 2006, pp.55-82.
D. O. Krimer, G. Demeter, and L. Kramer:
Dynamical phenomena in nematic liquid crystals induced by light,
in Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems, A. A. Golovin and A. A. Nepomnyashchy, eds., Springer, 2006, pp.83-122.
G. A. Gottwald and L. Kramer:
A normal form for excitable media,
Chaos, 16, 013122 (2006).
W. Pesch, L. Kramer, N. Éber, and Á. Buka:
Role of initial conditions in the decay of spatially periodic patterns in a nematic liquid crystal,
Phys. Rev. E, 73, 061705 (2006).
S. Rüdiger, E. M. Nicola, J. Casademunt, amd L. Kramer:
Theory of pattern forming systems under traveling-wave forcing
Physics Reports 447, 73-111 (2007)
S. Rüdiger, J. Casademunt, and L. Kramer
Dynamics of Domain Walls in Pattern Formation with Traveling-Wave Forcing
Phys. Rev. Lett. 99, 028302 (2007).

Contact: Prof. Dr. Walter Zimmermann

Department of Physics

Theorical Physics - Prof. Lorenz Kramer, Ph. D. - Memorial Page

Publications

List of Lorenz Kramer's Publications: