SELF-ORGANIZED CRITICALITY WITH CONTINUOUSLY VARYING EXPONENTS

被引:17
作者
DHAR, D
THOMAS, PB
机构
[1] Theoretical Physics Group, Tata Institute of Fundamental Research, Bombay, 400005, Homi Bhabha Road
来源
EUROPHYSICS LETTERS | 1993年 / 21卷 / 09期
关键词
DYNAMIC PROPERTIES (INC DYNAMIC SUSCEPTIBILITY; SPIN WAVES; SPIN DIFFUSION; DYNAMIC SCALING); MAGNETIZATION CURVES; HYSTERESIS; BARKHAUSEN AND RELATED EFFECTS; FLUCTUATION PHENOMENA; RANDOM PROCESSES; AND BROWNIAN MOTION;
D O I
10.1209/0295-5075/21/9/015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the hysteretic response of a system of two-dimensional planar spins in contact with a heat bath, to a uniform external magnetic field varying sinusoidally in time. The temperature is below the Kosterlitz-Thouless transition temperature T(KT). We show that for small H0 and omega, the area of the hysteresis loop scales as (H0omega)alpha, where H0 is the amplitude and omega the frequency of the external field, and alpha is an exponent which varies continuously from 1/2 to 16/31, as the temperature increases from zero to T(KT). This is an example of a driven dissipative system which shows self-organized criticality with continuously varying exponents.
引用
收藏
页码:965 / 970
页数:6
相关论文
共 16 条
[1]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[2]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[3]  
BAXTER RJ, 1982, EXACTLY SOLVED MODEL, P254
[4]  
Berezinskii V. L., 1971, ZH EKSP TEOR FIZ+, V32, P493
[5]   HYSTERESIS AND SELF-ORGANIZED CRITICALITY IN THE O(N) MODEL IN THE LIMIT N -]INFINITY [J].
DHAR, D ;
THOMAS, PB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (19) :4967-4984
[6]  
GUTINGER W, 1987, PHYSICS STRUCTURE FO, P180
[7]  
ITZYKSON C, 1991, STATISTICAL FIELD TH, V1, P193
[8]   SCALING AND UNIVERSALITY IN STATISTICAL PHYSICS [J].
KADANOFF, LP .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1990, 163 (01) :1-14
[9]   DYNAMIC SCALING OF GROWING INTERFACES [J].
KARDAR, M ;
PARISI, G ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1986, 56 (09) :889-892
[10]  
Lebowitz J. L., 1987, PHASE TRANSITIONS CR, V11