EXACT DYNAMIC EXPONENT AT THE KARDAR-PARISI-ZHANG ROUGHENING TRANSITION

被引:41
作者
DOTY, CA [1 ]
KOSTERLITZ, JM [1 ]
机构
[1] BROWN UNIV,DEPT PHYS,PROVIDENCE,RI 02912
关键词
D O I
10.1103/PhysRevLett.69.1979
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use a mapping of the Kardar-Parisi-Zhang (KPZ) equation for interfacial growth to the equilibrium model of a directed polymer in a random medium to obtain the exact value of the dynamical exponent z(c) at the KPZ roughening transition. Our argument does not rely on perturbation theory and predicts that the value z(c) = 2 should be superuniversal, whenever thermal fluctuations are relevant at the corresponding equilibrium critical point in the directed polymer model.
引用
收藏
页码:1979 / 1981
页数:3
相关论文
共 9 条
[1]  
[Anonymous], 1966, PHYSICS, DOI DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.2.263
[2]   DIRECTED PATHS IN A RANDOM POTENTIAL [J].
FISHER, DS ;
HUSE, DA .
PHYSICAL REVIEW B, 1991, 43 (13) :10728-10742
[3]  
FISHER DS, 1991, PHYS REV D, V43, P10
[4]   SURFACE ROUGHENING IN A HYPERCUBE-STACKING MODEL [J].
FORREST, BM ;
TANG, LH .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1405-1408
[5]   ROUGHENING BY IMPURITIES AT FINITE TEMPERATURES - RESPONSE [J].
HUSE, DA ;
HENLEY, CL ;
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2924-2924
[6]   DYNAMIC SCALING OF GROWING INTERFACES [J].
KARDAR, M ;
PARISI, G ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1986, 56 (09) :889-892
[7]   BURGERS-EQUATION WITH CORRELATED NOISE - RENORMALIZATION-GROUP ANALYSIS AND APPLICATIONS TO DIRECTED POLYMERS AND INTERFACE GROWTH [J].
MEDINA, E ;
HWA, T ;
KARDAR, M ;
ZHANG, YC .
PHYSICAL REVIEW A, 1989, 39 (06) :3053-3075
[8]   THERMAL FLUCTUATIONS IN SOME RANDOM FIELD MODELS [J].
SCHULZ, U ;
VILLAIN, J ;
BREZIN, E ;
ORLAND, H .
JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :1-27
[9]   MULTICRITICAL AND CROSSOVER PHENOMENA IN SURFACE GROWTH [J].
TANG, LH ;
NATTERMANN, T ;
FORREST, BM .
PHYSICAL REVIEW LETTERS, 1990, 65 (19) :2422-2425