Phase-ordering kinetics on curved surfaces

被引:12
|
作者
Schonborn, O
Desai, RC
机构
[1] Department of Physics, University of Toronto, Toronto
基金
加拿大自然科学与工程研究理事会;
关键词
phase-ordering; dynamics; non-euclidean; curved surface; manifold; two-dimensional; Allen-Cahn; interface motion equation; lambda structure factor; torus;
D O I
10.1016/S0378-4371(96)00496-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report results of our study of phase-ordering kinetics in curved two-dimensional systems using a time-dependent Ginzburg-Landau equation. Specifically we generalize the model A and B equations to curved surfaces, derive an interface equation of motion for model A dynamics, and propose a new method of calculation of the structure factor valid for curved surfaces.
引用
收藏
页码:412 / 419
页数:8
相关论文
共 50 条
  • [1] Kinetics of Phase Ordering on Curved Surfaces
    Oliver Schoenborn
    Rashmi C. Desai
    [J]. Journal of Statistical Physics, 1999, 95 : 949 - 979
  • [2] Kinetics of phase ordering on curved surfaces
    Schoenborn, O
    Desai, RC
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1999, 95 (5-6) : 949 - 979
  • [3] THEORY OF PHASE-ORDERING KINETICS
    BRAY, AJ
    [J]. ADVANCES IN PHYSICS, 1994, 43 (03) : 357 - 459
  • [4] Phase-ordering kinetics on graphs
    Burioni, R.
    Cassi, D.
    Corberi, F.
    Vezzani, A.
    [J]. PHYSICAL REVIEW E, 2007, 75 (01):
  • [5] Theory of phase-ordering kinetics
    Bray, AJ
    [J]. ADVANCES IN PHYSICS, 2002, 51 (02) : 481 - 587
  • [6] Response functions in phase-ordering kinetics
    Mazenko, GF
    [J]. PHYSICAL REVIEW E, 2004, 69 (01): : 11
  • [7] Corrections to scaling in phase-ordering kinetics
    Bray, AJ
    Rapapa, NP
    Cornell, SJ
    [J]. PHYSICAL REVIEW E, 1998, 57 (02): : 1370 - 1376
  • [8] Approach to scaling in phase-ordering kinetics
    Castellano, C
    Zannetti, M
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (13) : 2742 - 2745
  • [9] NATURE OF THE GAUSSIAN APPROXIMATIONS IN PHASE-ORDERING KINETICS
    DESIENA, S
    ZANNETTI, M
    [J]. PHYSICAL REVIEW E, 1994, 50 (04): : 2621 - 2629
  • [10] Phase-ordering kinetics of cemetery organization in ants
    Bonabeau, E
    Theraulaz, G
    Fourcassie, V
    Deneubourg, JL
    [J]. PHYSICAL REVIEW E, 1998, 57 (04): : 4568 - 4571