Arbeitsgruppe
"Computerorientierte Theoretische Physik"
Ausgewählte Veröffentlichungen / Selected Publications
2006:
- R. Spatschek, M. Hartmann, E. Brener, H.Müller-Krumbhaar, K.
Kassner, "Phase Field Modeling of Fast Crack Propagation", Phys. Rev. Lett. 96, 015502 (2006).
- K. Kassner, "Interfacial pattern formation". In Computational Condensed Matter Physics,
Lecture Notes of the 37th Spring School of the Institute of Solid State
Research, Forschungszentrum Jülich, 2006, p. C1.1
- D. Medvedev, T. Fischaleck, K. Kassner, "Influence of external
flows on crystal growth: Numerical investigation", Phys.
Rev. E 74, 031606 (2006).
2005:
- R. Guérin, J.-M. Debierre, K. Kassner, "Growth patterns
in a
channel for singular surface energy: phase-field model", Phys.
Rev. E 71, 011603 (2005).
- K. Kassner, C. Misbah, J.-M. Debierre, "Nonlocal interface
equations in crystal growth", J. Cryst. Growth 275,
e183 (2005).
- O. Pierre-Louis, G. Danker, J. Chang, K. Kassner, C. Misbah,
"Nonlinear dynamics of vicinal surfaces", J. Cryst. Growth 275, 56 (2005).
- K. Kassner, "Schmelzen und Erstarren", in Effekte der Physik und ihre Anwendungen,
Hrsg. M. Ardenne, G. Musiol, U. Klemradt, (Harri Deutsch, Frankfurt,
2005) 1118.
- D. Medvedev, K. Kassner, "Lattice-Boltzmann scheme for dendritic
growth in external flow", Phys. Rev. E 72, 056703 (2005).
- D. Medvedev, K. Kassner, "Lattice-Boltzmann scheme for dendritic
growth in presence of convection", J.
Cryst. Growth 275,
e1495 (2005).
- T. Biben, K. Kassner, C. Misbah, "Phase-field
approach to 3D vesicle dynamics", Phys. Rev. E 72, 041921 (2005).
2004:
- C. Misbah, F. Renard, J.-P. Gratier, K. Kassner, "Dynamics of a
dissolution front for solids under stress", Geophys. Res. Lett.
31, L06618 (2004).
- E. Zemskov, K. Kassner, "Analytically solvable models of
reaction-diffusion systems", Eur. J. Phys. B 25, 361
(2004).
- E.P. Zemskov, K. Kassner, S.C. Müller, "Stabilization of
reaction-diffusion pulses by external forcing", Phys. Rev. E 70,
056208 (2004).
- E.P. Zemskov, K. Kassner, "Stability analysis of fronts in a
tristable reaction-diffusion system", Eur. Phys. J. B 42,
423 (2004).
- G. Danker, O. Pierre-Louis, K. Kassner, C. Misbah, "Peculiar
effects of anisotropic diffusion on dynamics of vicinal surfaces", Phys.
Rev. Lett. 93, 185504 (2004).
2003:
- G. Danker, O. Pierre-Louis, K. Kassner, C. Misbah, "Interrupted
coarsening in anisotropic step meander", Phys. Rev. E 68,
020601 (2003)
- P. Berger, P. Kohlert, K. Kassner, C. Misbah, "Pattern Selection
in Biaxially Stressed Solids" Phys. Rev. Lett. 90,
176103 (2003)
- S. Courty, B. Dollet, K. Kassner, A. Renault, F. Graner,
"Elasticity and plasticity of two-dimensional amorphous solid layers
of beta-lactoglobulin", European Physical Journal E 11,
53 (2003)
- E.P. Zemskov, K. Kassner, S.C. Müller, "Front propagation
under
periodic forcing in reaction-diffusion systems", European Physical
Journal B 34, 285 (2003)
- I. Cantat, K. Kassner, C. Misbah, "Vesicles in haptotaxis with
hydrodynamical dissipation", European Physical Journal E 10,
175 (2003)
- E.P. Zemskov, V.S. Zykov, K. Kassner, S.C. Müller, "Analytic
solutions for monotonic and oscillating fronts in a reaction-diffusion
system under external fields", Physica D 183, 117
(2003)
- P. Kohlert, K. Kassner, C. Misbah, "Large-amplitude behavior of
the Grinfeld instability: a variational approach", European
Physical Journal B 35, 493 (2003)
2002:
- M Schröter, K. Kassner, I. Rehberg, J. Claret, F.
SaguŽés,
"Experimental investigation of the initial regime in fingering
electrodeposition: dispersion relation and velocity measurements", Phys.
Rev. E 65, 041607 (2002)
- K. Kassner, "Why the Bradley aberration cannot be used to
measure absolute speeds. A comment", Europhys. Lett., 58,
637 (2002)
- K. Kassner, C. Misbah, "Amplitude equations for systems with
long-range interactions", Phys. Rev. E, 026102 (2002)
- M Schröter, K. Kassner, I. Rehberg, J. Claret, F.
SaguŽés,
"Influence of ohmic heating on the flow field in thin-layer
electrodeposition", Phys. Rev. E, 026307 (2002)
2001:
- K. Kassner, C. Misbah, J. Müller, J. Kappey, P. Kohlert,
"Phase-field modeling of stress-induced instabilities", Phys. Rev. E
63, 036117 [1-27] (2001)
- K. Kassner, C. Misbah, J. Müller, J. Kappey, P. Kohlert,
"Phase-field approach to crystal growth in the presence of strain", J.
Cryst. Growth 225, 289 (2001)
- Y. Marietti, J.-M. Debierre, T. M. Bock, K. Kassner, "Pattern
formation in directional solidification under shear flow. I: Linear
stability analysis and basic patterns", Phys. Rev. E 63,
066301 [1-13] (2001)
- Y. Marietti, J.-M. Debierre, T. M. Bock, K. Kassner, "Pattern
formation in directional solidification under shear flow. II:
Morphologies and their characterization", Phys. Rev. E 63,
066302 [1-13] (2001)
- H. Müller-Krumbhaar, H. Emmerich, E. Brener, M. Hartmann,
"Dewetting Hydrodynamics in 1+1 Dimensions", Phys. Rev. E 63,
026304 [1-9] (2001)
2000:
- E. Zemskov, V. Zykov, K. Kassner, S. C. Müller: "Stability
of
Traveling Fronts in a Piecewise Linear Reaction-Diffusion System", Nonlinearity
13, 2063 (2000)
- A. Schinner, K. Kassner, "Shared Memory Parallelization for
Molecular Dynamics Simulations of Non-spherical Granular Materials",
Workshop Molecular Dynamics on Parallel Computers (World
Scientific Publishing, Singapur, 2000), S.~239
- H. Emmerich, K. Kassner, T. Ihle, A. Weiss, "Dynamic simulations
of interface morphologies in free dendritic growth", J. Cryst.
Growth 211, 43 (2000)
1999:
- K. Kassner, C. Misbah: "A phase field approach for
stress-induced instabilities" Europhysics Letters 46,
217 (1999)
- J. Kappey, K. Kassner, C. Misbah: "Influence of uniaxial stress
on the lamellar spacing of eutectics", Physical Review E 59,
4298 (1999)
- H.-G. Mattutis, A. Schinner: "Influence of the heap shape on the
density of granular materials and the pressure distribution",
Granular Matter 1, 195 (1999)
- A. Schinner: "Fast algorithms for the simulation of polygonal
particles", Granular Matter 2, 35 (1999)
- H. Emmerich, D. Schleussner, T. Ihle, K. Kassner: "Confinement
effects in dendritic growth", J. Physics,: Condensed Matter
11, 8981 (1999)
- H. Emmerich, C. Misbah, K. Kassner, T. Ihle: "Vicinal surfaces:
growth structures close to the instability threshold and far beyond",
J. Physics,: Condensed Matter 11, 9985 (1999)
- S. Tischer, L. Sitzki, K. Kassner, H. Rau: "Numerical
investigation of the gravitational influence on laminar diffusion
flames" in Dynamics of explosions and reactive systems,
Proceedings
17th ICDERS in Heidelberg, 1999
1998:
- K. Kassner, J.-M. Debierre, B. Billia, N. Noel, H. Jamgotchian:
"Cellular structures in three-dimensional directional solidification:
Simulation and analysis", Phys. Rev. E 57, 2849 (1998)
- A. Schinner, M. Scherer, I. Rehberg, K. Kassner: "Rotation and
reptation" in Physics of Dry Granular Media, eds. H.J. Herrman
et al. (Kluwer Academic Publishers, Netherlands, 1998), p. 639
- I. Cantat, K. Kassner, C. Misbah, H. Müller-Krumbhaar,
"Directional solidification under stress", Phys. Rev. E 58,
6027 (1998)
1997:
- I. Daumont, K. Kassner, C. Misbah, A. Valance: "Cellular
self-propulsion of two-dimensional dissipative structures and
spatial-period tripling Hopf bifurcation", Phys. Rev. E 55,
6902 (1997)
- I. Durand, P. Jönson, C. Misbah, A. Valance, K. Kassner:
"Adhesion-induced vesicle propulsion", Phys. Rev. E 55,
R3776 (1997)
- A. Schinner, K. Kassner: "Dynamics of a sliding particle in a
rotating drum", in Friction, Arching, Contact Dynamics, eds.
D.E. Wolf, P. Grassberger (World Scientific, Singapore, 1997), p. 305
1996:
- I. Durand, K. Kassner, C. Misbah, H.
Müller-Krumbhaar: "Strong coupling between
diffusive and elastic instabilies in directional solidification",
Phys. Rev. Lett. 76, 3013 (1996)
- K. Kassner: "Pattern formation in
diffusion-limited crystal growth", (World Scientific, Singapore, 1996)
- K. Kassner, A. K. Hobbs, P. Metzener:
"Dynamical patterns in directional solidification", Physica D 93,
23 (1996)
- R. Baumann, K.
Kassner, C. Misbah, D. E. Temkin: "Spatial
subharmonics, irrational patterns, and disorder in eutectic growth",
Phys. Rev. Lett, 74, 1597 (1995)
- K. Kassner, C. Misbah, R. Baumann:
"Eutectic dynamics: a host of new states", Phys. Rev. E 51,
R2751 (1995)
- R. Baumann, K. Kassner, C. Misbah, D. E.
Temkin: "Baumann et al. reply" Phys. Rev. Lett 75, 2445
(1995)
- K. Kassner: "Morphological instabilities:
dendrites, seaweed, and fractals", in Science and Technology of
Crystal Growth, Eds. J. P. van der Eerden and O. S. L. Bruinsma,
(Kluwer Academic Publishers, Dordrecht, The Netherlands, S. 193 (1995)
- K. Kassner, C.
Misbah, H. Müller-Krumbhaar, A. Valance:
"Directional solidification at high speed. I. Secondary instabilities",
Phys. Rev. E 49, 5477 (1994)
- K. Kassner, C. Misbah, H.
Müller-Krumbhaar, A.
Valance: "Directional solidification at high
speed. II. Transition to chaos", Phys. Rev. E. 49,
5495 (1994)
- K. Kassner, C. Misbah, A. Valance, H.
Müller-Krumbhaar: "Nonlinear evolution of directional
solidification
patterns", Theoret. i Matem. Fisika 99, 406 (1994)
- K. Kassner, E. Brener: "Continuum model for
noiseless diffusion-limited aggregation", Phys. Rev. E 50,
2161 (1994)
- K. Kassner, C. Misbah:
"Nonlinear evolution of a uniaxially
stressed solid: a route to fracture?", Europhys. Lett. 28,
245 (1994)
- K. Kassner, A. Valance, C. Misbah, D. Temkin:
"New broken-parity state and a transition to anomalous lamellae in
eutectic growth", Phys. Rev. E 48, 1091 (1993)
- A. Valance, C. Misbah, D. Temkin, K. Kassner:
"Analytic theory for parity breaking in lamellar eutectic growth", Phys.
Rev. E 48, 1924 (1993)
- J. Krug, K. Kassner, P. Meakin, F. Family:
"Laplacian needle growth", Europhys. Lett. 24, 527
(1993)
- K. Kassner: "Sidebranching in noiseless
diffusion-limited aggregation", Fractals 1, 205 (1993)
- B. Caroli, C. Caroli, K. Kassner, C. Misbah:
"On the theory of lamellar eutectic growth", in Nonlinear Phenomnea
in Materials Sciences, Vol. 2, eds. G. Martin, L. Kubin (Trans.
Tech. Publications, Aedermannsdorf), p. 29 (1992)
- K. Kassner, C. Misbah: "Similarity equation
in non-axisymmetric lamellar eutectic growth", J. Phys. A: Math. Gen
25, 3213 (1992)
- O. Shochet, K. Kassner, E. Ben-Jacob, S. G.
Lipson, H. Müller-Krumbhaar: "Morphology transitions during
non-equilibrium growth: I. Study of equilibrium shapes and properties",
Physica A 181, 136 (1992)
- O. Shochet, K. Kassner, E. Ben-Jacob, S. G.
Lipson, H. Müller-Krumbhaar: "Morphology transitions during
non-equilibrium growth: II. Morphology diagram and characterization of
the transition", Physica A 187, 87 (1992)
- K. Kassner: "Numerical simulation of crystal
growth", in Physik und Informatik - Informatik und Physik,
Informatik-Fachbericht Bd. 306, Hrsg. D. Krönig, M. Lang
(Springer,
Berlin), p. 259 (1992)
- K. Kassner, C. Misbah: "Coupling between
crystalline anisotropy and spontaneous parity breaking in lamellar
eutectic growth", Phys. Rev. A 45, 7372 (1992)
- K. Kassner: "Semimicroscopic models for
diffusive crystal growth", in Computational Crystal Growers Workshop,
AMS Selected Lectures in Mathematics, Hrsg, J. Taylor (Americal
Mathematical Society, Providence, R. I.), p. 62 (1992)
- A. Valance, K. Kassner, C. Misbah:
"Transition to phase chaos in directional solidification: A two-mode
interaction picture" Phys. Rev. Lett 69, 1544 (1992)
- E. Brener, K. Kassner, H.
Müller-Krumbhaar,
D. Temkin: "Pattern formation in first-order phase transitions", Int.
J. Mod. Phys. C 3, 825 (1992)
- K. Kassner, C. Misbah: "Similarity laws in
eutectic growth", Phys. Rev. Lett. 66, 445 (1991)
- K. Kassner, C. Misbah: "Directional growth of
lamellar eutectics", in Growth and Form: Nonlinear Aspects,
eds. M. Ben Amar, P. Tabeling, P. PelcŽé (Plenum Publishing, New
York),
p. 201 (1991)
- K. Kassner, C. Misbah, H.
Müller-Krumbhaar,
Y. Saito, D. Temkin: "Directional growth of dilute mixtures an lamellar
eutectics", in Asymptotics beyond all orders, eds. H. Segur, S.
Tanveer, H. Levine (Plenum Press, New York), p. 105 (1991)
- K. Kassner, C. Misbah: "Growth of lamellar
eutectic structures. The axisymmetric state" Phys. Rev. A 44,
6513 (1991)
- K. Kassner, C. Misbah:
"Spontaneous parity-breaking transition in
directional growth of lamellar eutectic structures", Phys.
Rev. A. 44, 6533 (1991)
- K. Kassner, C. Misbah, H.
Müller-Krumbhaar:
"Transition to chaos in directional solidification", Phys. Rev.
Lett. 67, 1551 (1991)
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