First-passage exponent in two-dimensional soap froth

被引：85

作者：

Tam, WY

Zeitak, R

Szeto, KY

Stavans, J

机构：

[1] ECOLE NORMALE SUPER,PHYS STAT LAB,F-75231 PARIS 05,FRANCE

[2] WEIZMANN INST SCI,DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.78.1588

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report an experimental measurement of the temporal dependence of the area A(us) in a two-dimensional soap froth which has not been swept by the passage of soap films up to time t, as the froth coarsens from an initial time to within the scaling regime. We find A(us) stales with the mean cell area [A] as A(us) proportional to [A](-theta'), with a first-passage exponent theta' = 1.16 +/- 0.02; and for the average perimeter [P]: [P] proportional to [A](psi') and A(us) proportional to [P](phi') with values of the scaling exponents psi' = 0.49 +/- 0.01 and phi' = 2.38 +/- 0.02. We also find a scaling function in A(us)(t)/A(us)(t(0)) versus [A(t)]/[A(t(0))].

引用

收藏

页码：1588 / 1591

页数：4

相关论文

共 24 条

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

BRAY, AJ .

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

[2] PROPORTION OF UNAFFECTED SITES IN A REACTION-DIFFUSION PROCESS [J].

CARDY, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (01) :L19-L24

[3] Stable spins in the zero temperature spinodal decomposition of 2D Potts models [J].

Derrida, B ;

deOliveira, PMC ;

Stauffer, D .

PHYSICA A, 1996, 224 (3-4) :604-612

[4] 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

[5] 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

[6] 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

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

FISHER, DS ;

HUSE, DA .

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

[8] DYNAMICS OF SOAP FROTH [J].

FLYVBJERG, H .

PHYSICA A, 1993, 194 (1-4) :298-306

[9] MODEL FOR COARSENING FROTHS AND FOAMS [J].

FLYVBJERG, H .

PHYSICAL REVIEW E, 1993, 47 (06) :4037-4054

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

FURUKAWA, H .

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