EXACT FIRST-PASSAGE EXPONENTS OF 1D DOMAIN GROWTH - RELATION TO A REACTION-DIFFUSION MODEL

被引：229

作者：

DERRIDA, B ^{[1
]}

HAKIM, V ^{[1
]}

PASQUIER, V ^{[1
]}

机构：

[1] CENS,SERV PHYS THEOR,F-91191 GIF SUR YVETTE,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.75.751

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the zero temperature Glauber dynamics of the ferromagnetic Ising or q-state Potts model, the size of domains is known to grow like t(1/2). Recent simulations have shown that the fraction r(q, t) of spins, which have never flipped up to time t, decays like the power law r(q, t) similar to t(-theta(q)) with a nontrivial dependence of the exponent theta(q) on q and on space dimension. By mapping the problem on an exactly soluble one-species coagulation model (A + A --> A), we obtain the exact expression of theta(q) in dimension one.

引用

页码：751 / 754

页数：4

共 35 条

[11] STEADY-STATE REACTION-DIFFUSION FRONT SCALING FOR MA+NB -] [INERT] [J].

CORNELL, S ;

DROZ, M .

PHYSICAL REVIEW LETTERS, 1993, 70 (24) :3824-3827

[12]

DENNIJS MPM, 1979, J PHYS A-MATH GEN, V12, P1857, DOI 10.1088/0305-4470/12/10/030

[13] NONTRIVIAL EXPONENTS IN THE ZERO-TEMPERATURE DYNAMICS OF THE 1D ISING AND POTTS MODELS [J].

DERRIDA, B ;

BRAY, AJ ;

GODRECHE, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11) :L357-L361

[14] EXPONENTS APPEARING IN THE ZERO-TEMPERATURE DYNAMICS OF THE 1D POTTS-MODEL [J].

DERRIDA, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (06) :1481-1491

[15]

DERRIDA B, IN PRESS

[16] NONEQUILIBRIUM DYNAMICS OF SPIN-GLASSES [J].

FISHER, DS ;

HUSE, DA .

PHYSICAL REVIEW B, 1988, 38 (01) :373-385

[17] NUMERICAL STUDY OF MULTITIME SCALING IN A SOLID SYSTEM UNDERGOING PHASE-SEPARATION [J].

FURUKAWA, H .

PHYSICAL REVIEW B, 1989, 40 (04) :2341-2347

[18] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[19] TOEPLITZ MATRICES, TRANSLATION KERNELS AND A RELATED PROBLEM IN PROBABILITY THEORY [J].

KAC, M .

DUKE MATHEMATICAL JOURNAL, 1954, 21 (03) :501-509

[20] SCALING APPROACH FOR THE KINETICS OF RECOMBINATION PROCESSES [J].

KANG, K ;

REDNER, S .

PHYSICAL REVIEW LETTERS, 1984, 52 (12) :955-958

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