Spin block persistence at finite temperature

被引：36

作者：

Cueille, S

Sire, C

机构：

[1] Laboratoire Physique Quantique, Université Paul Sabatier

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 23期

关键词：

D O I：

10.1088/0305-4470/30/23/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explore a new definition of the persistence exponent, measuring the probability that a spin never dips after a quench of an Ising-like model at a temperature 0 < T < T-c, while the usual definition only makes sense at T = 0. This probability is now defined for spin blocks, and a general scaling for it, involving time and block linear size is introduced and illustrated by extensive simulations.

引用

收藏

页码：L791 / L796

页数：6

相关论文

共 16 条

[1] THEORY OF PHASE-ORDERING KINETICS [J].

BRAY, AJ .

ADVANCES IN PHYSICS, 1994, 43 (03) :357-459

[2]

CORNELL SJ, UNPUB

[3]

CUEILLE S, UNPUB

[4] How to extract information from simulations of coarsening at finite temperature [J].

Derrida, B .

PHYSICAL REVIEW E, 1997, 55 (03) :3705-3707

[5] EXACT FIRST-PASSAGE EXPONENTS OF 1D DOMAIN GROWTH - RELATION TO A REACTION-DIFFUSION MODEL [J].

DERRIDA, B ;

HAKIM, V ;

PASQUIER, V .

PHYSICAL REVIEW LETTERS, 1995, 75 (04) :751-754

[6] 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

[7] Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary Gaussian processes [J].

Derrida, B ;

Hakim, V ;

Zeitak, R .

PHYSICAL REVIEW LETTERS, 1996, 77 (14) :2871-2874

[8] Life and death in an expanding cage and at the edge of a receding cliff [J].

Krapivsky, PL ;

Redner, S .

AMERICAN JOURNAL OF PHYSICS, 1996, 64 (05) :546-552

[9] Persistence exponents for fluctuating interfaces [J].

Krug, J ;

Kallabis, H ;

Majumdar, SN ;

Cornell, SJ ;

Bray, AJ ;

Sire, C .

PHYSICAL REVIEW E, 1997, 56 (03) :2702-2712

[10] Global persistence exponent for nonequilibrium critical dynamics [J].

Majumdar, SN ;

Bray, AJ ;

Cornell, SJ ;

Sire, C .

PHYSICAL REVIEW LETTERS, 1996, 77 (18) :3704-3707