OPTIMAL PATHS AND DOMAIN-WALLS IN THE STRONG DISORDER LIMIT

被引:132
作者
CIEPLAK, M
MARITAN, A
BANAVAR, JR
机构
[1] IST NAZL FIS NUCL,PADUA,ITALY
[2] PENN STATE UNIV,CTR MAT PHYS,UNIV PK,PA 16802
[3] POLISH ACAD SCI,INST PHYS,PL-02668 WARSAW,POLAND
[4] UNIV PADUA,DIPARTIMENTO FIS,I-35100 PADUA,ITALY
关键词
D O I
10.1103/PhysRevLett.72.2320
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An optimization problem that may be cast in the context of domain walls in ferromagnets and spin glasses, lattice animals, and percolation is described. Numerical calculations in two and three dimensions show that a new universality class is obtained. In the strong disorder limit interfaces are not self-affine but fractal. Further, the nontrivial ground state of frustrated spin glasses is straightforwardly obtained in this limit.
引用
收藏
页码:2320 / 2324
页数:5
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共 35 条
[11]   DIRECTED PATHS IN A RANDOM POTENTIAL [J].
FISHER, DS ;
HUSE, DA .
PHYSICAL REVIEW B, 1991, 43 (13) :10728-10742
[12]   RANDOM TRANSVERSE FIELD ISING SPIN CHAINS [J].
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1992, 69 (03) :534-537
[13]   SINGULAR THERMODYNAMIC PROPERTIES IN RANDOM MAGNETIC CHAINS [J].
HIRSCH, JE ;
JOSE, JV .
PHYSICAL REVIEW B, 1980, 22 (11) :5339-5354
[14]   ADAPTATION AND SELF-REPAIR IN PARALLEL COMPUTING STRUCTURES [J].
HUBERMAN, BA ;
HOGG, T .
PHYSICAL REVIEW LETTERS, 1984, 52 (12) :1048-1051
[15]   ULTRADIFFUSION - THE RELAXATION OF HIERARCHICAL SYSTEMS [J].
HUBERMAN, BA ;
KERSZBERG, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (06) :L331-L336
[16]   PINNING AND ROUGHENING OF DOMAIN-WALLS IN ISING SYSTEMS DUE TO RANDOM IMPURITIES [J].
HUSE, DA ;
HENLEY, CL .
PHYSICAL REVIEW LETTERS, 1985, 54 (25) :2708-2711
[17]   ROUGHENING BY IMPURITIES AT FINITE TEMPERATURES - RESPONSE [J].
HUSE, DA ;
HENLEY, CL ;
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2924-2924
[18]   DYNAMIC SCALING OF GROWING INTERFACES [J].
KARDAR, M ;
PARISI, G ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1986, 56 (09) :889-892
[19]   SCALING OF DIRECTED POLYMERS IN RANDOM-MEDIA [J].
KARDAR, M ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1987, 58 (20) :2087-2090
[20]   ROUGHENING BY IMPURITIES AT FINITE TEMPERATURES [J].
KARDAR, M .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2923-2923