Condensed Matter Physics Publications
1.
“Ginzburg-Landau Theory of Crystalline Anisotropy for
bcc-Liquid Interfaces”, K.-A. Wu, A. Karma, J. J. Hoyt, and M. Asta, Phys. Rev. E
73, 094101 (2006).
2.
“Crystal-melt Interfacial Free Energies
in hcp Metals: A Molecular Dynamics Study of Mg”, D. Y. Sun, M. I. Mendelev, C. A. Becker, K. Kudin,
T. Haxhimali, M. Asta, J. J. Hoyt, A. Karma, and D. J. Srolovitz , Phys. Rev. B 73, 024116 (2006).
3.
“Orientation Selection in Dendritic
Evolution”, T. Haxhimali, A. Karma, F. Gonzales, and
M. Rappaz, Nature
Materials 5, 660-664 (2006).
4.
Spheroidal
Particle Stability in Semi-Solid Processing”, R. A. Martinez, A. Karma, and M.
C. Flemings, Metall. Mater. Trans. 37A, 2807-2815 (2006).
5.
“Interface Mobility from Interface Random Walk”, Z. T. Trautt, M. Upmanyu, and A. Karma, Science 314, 632-635 (2006).
6.
“Low
Temperature Dynamics of Kinks on Ising Interfaces”,
A. Karma and A.
7.
“Phase Field Modeling”, A. Karma, in Handbook of Materials Modeling. Volume
I: Methods and Models, edited by S. Yip, Springer,
8.
“Crack Path Prediction in Anisotropic
Brittle Materials”, V. Hakim and A. Karma, Phys.
Rev. Lett. 95,
235501 (2005).
9.
“Grain
shape, grain boundary mobility, and the Herring relation”, A. Lobkovsky, A. Karma, M. I. Mendelev,
M. Haataja, and D. J. Srolovitz,
Acta Materiala 52, 285-292 (2004).
10. “Phase-Field Modeling of
Binary Alloy Solidification with Coupled Heat and Solute Diffusion”, J. C.
Ramirez, C. Beckermann, A. Karma, and H.-J. Diepers, Phys. Rev.
E 69, 051607 (2004).
11. “Unsteady
Crack Motion and Branching in a Phase-Field Model of Brittle Fracture”, A.
Karma and A. Lobkovsky, Phys. Rev. Lett. 92, 245510 (2004).
12. “New Insights into the Morphological Stability of Eutectic and Peritectic Coupled Growth”, A. Karma and
M. Plapp, JOM
56 (4), 28-32
(2004).
13. “From Atoms to Dendrites”, J. J. Hoyt, A. Karma,
M. Asta, and D. Y. Sun”, JOM
56 (4), 49-54 (2004).
14. “Peritectic Coupled Growth”, S. Dobler, T.
S. Lo, M. Plapp, A. Karma, and
15. “Overstability of Lamellar Eutectic Growth below the Minimum
Undercooling Spacing,” S. Akamatsu,
M. Plapp, G. Faivre, and A.
Karma, Metall. Mater. Trans. 35A, 1815-1828 (2004).
16. “Crystal-Melt Interfaces
and Solidification Morphologies in Metal and Alloys”, J. J. Hoyt, M. Asta, T. Haxhimali, A. Karma, R.
E. Napolitano, R. Trivedi, B. B. Laird, and J. R.
Morris, MRS Bulletin 29 (12), 935-939 (2004).
17. “Quantitative
Phase-Field Model of Alloy Solidification”, B. Echebarria,
R. Folch, A. Karma, and M. Plapp,
Phys. Rev. E 70, 061604 (2004).
18. “Two-phase
microstructure selection in peritectic
solidification: from island banding to coupled growth, ” T. S. Lo, S. Dobler, M. Plapp, A. Karma, and
W. Kurz, Acta Materiala 51,
599-611 (2003).
19. “Phase-Field
Approach for Faceted Solidification,” J.-M. Debierre,
A. Karma, F. Celestini, and R. Guérin,
Phys. Rev. E 68, 041604 (2003).
20. “Atomistic
and Continuum Modeling of Dendrite Solidification,” J. J. Hoyt, M. Asta, and A. Karma, Mat.
Sci.
21. “Phase-Field
Simulations of Solidification”, W. J. Boettinger, J.
A. Warren, C. Beckermann, and A. Karma, Ann. Rev. Mater. Res. 32, 163-194 (2002).
22. “Linking
Phase-Field and Atomistic Simulations to Model Dendritic Solidifcation
in Highly Undercooled Melts”, J. Bragard,
A. Karma, Y. H. Lee, and M. Plapp, Interface Science 10, 121-136 (2002).
23. “Atomistic
Simulation Methods for Computing the Kinetic Coefficient in Solid-Liquid
Systems”, J. J. Hoyt, M. Asta, and A. Karma, Interface Science 10, 181-189 (2002).
24. “Calculation
of alloy solid-liquid interfacial free energies from atomic-scale simulations”,
M. Asta, J. J. Hoyt, and A. Karma, Phys. Rev. B 66, 100101(R) (2002).
25. “Eutectic
Colony Formation: A Phase-Field Study”, M. Plapp and
A. Karma, Phys. Rev. E 66, 061608 (2002).
26. “Pattern
stability and trijunction motion in eutectic
solidification, ” S. Akamatsu,
M. Plapp, G. Faivre, and A.
Karma, Phys. Rev. E 66, 030501 (2002).
27. “Phase-field
modeling of microstructural pattern formation during
directional solidification of peritectic alloys
without morphological instability”, T.-S. Lo, A. Karma, and M. Plapp, Phys. Rev.
E 63, 031504 (2001).
28. “Method
for Computing the Anisotropy of the Solid-Liquid Interfacial Free Energy”, J.
J. Hoyt, M. Asta, and A. Karma, Phys. Rev. Lett. 86, 5530-5533 (2001).
29. “Phase-Field
Model of Mode-III Dynamic Fracture”, A. Karma, H. Levine, and D. Kessler, Phys. Rev. Lett. 87, 045501 (2001).
30. “Phase-Field
Formulation for Quantitative Modeling of Alloy Solidification”, A. Karma, Phys. Rev. Lett.
87, 115701 (2001).
31. “Lectures
on Dendritic Growth”, in Branching in
Nature, A. Karma, Les Houches, Vol. 13, edited by
V. Fleury, J. F. Gouyet and
M. Léonetti (EDP Scinces/Springer-Verlag,
2001), Chapter XI, p. 365-401.
32. “Evolution
of Nanoporosity in Dealloying”,
J. Erlebacher, M. J. Aziz,
A. Karma, N. Dimitrov, and K. Sieradzki,
Nature 410, 450 (2001).
33. “Phase-Field
Simulations of Dendritic Crystal Growth in a Forced Flow”, X. Tong, C. Beckermann, A. Karma, and Q. Li, Phys. Rev. E 63,
061601/16 pages (2001).
34. “Phase
Field Methods”, A. Karma, Encyclopedia of Materials: Science and Technology,
edited by K. H. J. Buschow, R. W. Cahn,
M. C. Flemings, B. Ilschner, E. J. Kramer, S. Mahajan, Volume 7,
Elsevier, Oxford, pp. 6873-86 (2001).
35. “Velocity
and shape selection of dendritic crystals in a forced flow”, X. Tong, C. Beckermann, and A. Karma, Phys. Rev. E 61, R49-R52
(2000).
36. “Three-dimensional
dendrite-tip morphology at low undercooling”, A.
Karma, Y. H. Lee, and M. Plapp, Phys. Rev. E 61,
3996-4006 (2000).
37. “Multiscale Random-Walk Algorithm for Simulating Interfacial
Pattern Formation”, M. Plapp and A. Karma, Phys. Rev. Lett.
84, 1740-1743 (2000).
38. “Solidification
Microstructures: Recent Developments, Future Directions”, W.J. Boettinger, S.R. Coriell, A.L.
Greer, A. Karma, W. Kurz, M. Rappaz,
and R. Trivedi, Acta Mater. 48, 43-70
(2000).
39. “Hybrid
Finite Difference Diffusion Monte Carlo Algorithm for Simulating Dendritic
Solidification”, M. Plapp and A. Karma, J. Comp. Phys. 165, 592-619 (2000).
40. “Modeling
Melt Convection in Phase-Field Simulations of Solidification”, C. Beckermann, H.-J. Diepers,
41. “Phase-Field
Model of Dendritic Sidebranching with Thermal Noise”,
A. Karma and W.-J. Rappel, Phys. Rev.
E 60, 3614-3625 (1999).
42. “Eutectic
colony formation: A stability analysis”, M. Plapp and
A. Karma, Phys. Rev. E 60, 6865-6889 (1999).
43. “Quantitative
phase-field modeling of dendritic growth in two and three dimensions”, A. Karma
and W.-J. Rappel, Phys. Rev. E 57, 4323-4349 (1998).
44. “Model
of Banding in Diffusive and Convective Regimes during Directional Solidification
of Peritectic Systems”, A. Karma, W. J. Rappel, B.C. Fuh, and R. Trivedi, Metall. and Mater. Trans. A 29, 1457-1470 (1998).
45. “Whiskers
and Dendrites”, R. Trivedi and A. Karma, Encyclopedia of Applied Physics 23, 441-459 (1998).
46. “Selection
of Doublet Cellular Patterns in Directional Solidification through Spatially
Periodic Perturbations”, W. Losert, D.A. Stillman, H.Z. Cummins, P. Kopczynski,
W.-J. Rappel, and A. Karma, Phys. Rev.
E 58, 7492-7506 (1998).
47. “Spiral
Surface Growth Without Desorption”, A. Karma and M. Plapp, Phys. Rev. Lett. 81,
4444-4447 (1998).
48. “Model
of Grain Refinement in Solidification of Undercooled
Melts”, A. Karma, Int. J. Non-Equilibrium Processing 11, 201 233 (1998).
49. “Cellular
multiplets in directional solidification”, P. Kopczynski, W.-J. Rappel, and A. Karma, Phys. Rev. E 55, R1282-R1285 (1997).
50. “Phase-field
modeling of three-dimensional dendritic growth: Is microscopic solvability
theory correct?”, A. Karma and W.-J. Rappel, J. Cryst. Growth
174, 54 (1997).
51. “Morphological
Instabilities of Lamellar Eutectics”, A. Karma and A. Sarkissian,
Metall. Mater. Trans. A 27, 635 (1996).
52. “Phase-field
method for computationally efficient modeling of solidification with arbitrary
interface kinetics”, A. Karma and W. -J. Rappel, Phys. Rev. E 53,
R3017-R3020 (1996).
53. “Critical
Role of Crystalline Anisotropy in the Stability of Cellular Array Structures in
Directional Solidification”, P. Kopczynski, W.-J.
Rappel, and A. Karma, Phys. Rev. Lett. 77,
3387-3390 (1996).
54. “Numerical
Simulation of Three-Dimensional Dendritic Growth”, A. Karma and W.-J. Rappel, Phys. Rev. Lett. 77 , 4050-4053
(1996).
55. “Comment
on Spatial Subharmonics, Irrational Patterns, and
Disorder in Eutectic Growth”, A. Karma and W.-J. Rappel, Phys. Rev. Lett. 75, 2444 (1995).
56. “Step
motions on high-temperature vicinal surfaces”, A Pimpinelli,
I. Elkinani, A. Karma, C. Misbah,
and J. Villain, J. Phys. Condens. Matter 6,
2661 (1994).
57. “Phase-field
model of eutectic growth”, A. Karma, Phys.
Rev. E 49, 2245 (1994).
58. “On
the formation of the banded structure in rapid solidification”, A. Sarkissian and A. Karma, Mater. Sci. and
59. “Physical
Mechanism of Grain Refinement in Solidification of Undercooled
Melts”, M. Schwarz, A. Karma, K. Eckler, and D. Herlach, Phys. Rev. Lett. 73,
1380 (1994).
60. “Langevin Formalism
for Solidification”, A. Karma, Phys. Rev.
Lett. 70,
3439 (1993).
61. “Fluctuations
in Solidification”, A. Karma, Phys. Rev.
E 48, 3441 (1993).
62. “Competition
between Noise and Determinism in Step Flow Growth”, A. Karma and C. Misbah, Phys. Rev. Lett. 71,
3810 (1993).
63. “Interface
dynamics and banding in rapid solidification”, A. Karma and A. Sarkissian, Phys.
Rev. E 47, 513 (1993).
64. “Spiral
Waves over Metal Catalysts”, A. Karma and X. Zou, Phys. Rev. A 46, 3083 (1992).
65. “Dynamics
of Banded Structure Formation in Rapid Solidification”, A. Karma and A. Sarkissian, Phys.
Rev. Lett. 68,
2616 (1992).
66. “Oscillatory
instability and minimum undercooling criterion in
directional solidification”, P. Pelce, Daniel Rochwerger, and A. Karma, J. Cryst. Growth 110, 815 (1991).
67. “Novel
axisymmetric coherent vortex state in arrays of Josephson junctions far from equilibrium”, D. Dominguez, J.
Jose, A. Karma, and C. Wiecko, Phys. Rev. Lett. 67, 2367 (1991).
68. “Effective
interface formalism: application to global instability in viscous fingering'',
A. Karma and P. Pelce, Phys. Rev. A 41, 4507
(1990).
69. “Stability
of an array of deep cells in directional solidification”, A. Karma and P. Pelce, Phys. Rev.
A 41, 6741 (1990).
70. “Oscillatory
lamellar microstructure in off-eutectic Al-Cu alloys”, M. Zimmermann, A. Karma,
and M. Carrard, Phys.
Rev. B 42, 833 (1990).
71. “Oscillatory
instability of deep cells in directional solidification”, A. Karma and P. Pelce, Phys. Rev.
A 39, 4162 (1989).
72. “Cell
to dendrite transition in directional solidification”, A. Karma and P. Pelce, Europhys. Lett. 9 (7),
713 (1989).
73. “Beyond
steady-state lamellar eutectic growth”, A. Karma, Phys. Rev. Lett. 59,71 (1987).
74. “Wavelength
selection in directional solidification”, A. Karma, Phys. Rev. Lett. 57, 858 (1986).
75. “Solidification
Cells at low velocity: The moving symmetric model”, A. Karma, Phys. Rev. A 34, 4353 (1986).
76. “Cellular
states in a boundary-layer model of directional solidification”, A. Karma and
77. “Pattern
Selection in a boundary-layer model of dendritic growth in the presence of
impurities”, A. Karma and G. Kotliar, Phys. Rev. A 31, 3266 (1985).
78. “Impurity
effects in dendritic solidification”, A. Karma and J. S. Langer, Phys. Rev. A 30, 3147 (1984).
79. “