Universal algebraic relaxation of fronts propagating into an unstable state and implications for moving boundary approximations

被引：58

作者：

Ebert, U ^{[1
]}

van Saarloos, W ^{[1
]}

机构：

[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.80.1650

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the relaxation of fronts propagating into unstable states. While "pushed" fronts relax exponentially like fronts propagating into a metastable state, "pulled" or "linear marginal stability" fronts relax algebraically. As a result, for thin fronts of this type. the standard moving boundary approximation fails. The leading relaxation terms for velocity and shape are of order 1/t and 1(/t3/2). These universal terms are calculated exactly with a new systematic analysis that unifies various heuristic approaches to front propagation.

引用

页码：1650 / 1653

页数：4

共 25 条

[11]

EBERT U, UNPUB

[12]

Fife P.C., 1988, CBMS-NSF Regional Conference Series in Applied Mathematics, V53

[13] VORTEX-FRONT PROPAGATION IN RAYLEIGH-BENARD CONVECTION [J].

FINEBERG, J ;

STEINBERG, V .

PHYSICAL REVIEW LETTERS, 1987, 58 (13) :1332-1335

[14] SURFACE-DIRECTED SPINODAL DECOMPOSITION [J].

JONES, RAL ;

NORTON, LJ ;

KRAMER, EJ ;

BATES, FS ;

WILTZIUS, P .

PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1326-1329

[15] Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics [J].

Karma, A ;

Rappel, WJ .

PHYSICAL REVIEW E, 1996, 53 (04) :R3017-R3020

[16]

Landau L. D., 1981, Physical kinetics, V10

[17] VELOCITY OF A PROPAGATING TAYLOR-VORTEX FRONT [J].

NIKLAS, M ;

LUCKE, M ;

MULLERKRUMBHAAR, H .

PHYSICAL REVIEW A, 1989, 40 (01) :493-496

[18] STRUCTURAL STABILITY AND RENORMALIZATION-GROUP FOR PROPAGATING FRONTS [J].

PAQUETTE, GC ;

CHEN, LY ;

GOLDENFELD, N ;

OONO, Y .

PHYSICAL REVIEW LETTERS, 1994, 72 (01) :76-79

[19] COMPETITION BETWEEN GENERIC AND NONGENERIC FRONTS IN ENVELOPE EQUATIONS [J].

POWELL, JA ;

NEWELL, AC ;

JONES, CKRT .

PHYSICAL REVIEW A, 1991, 44 (06) :3636-3652

[20] Pearling and pinching: Propagation of Rayleigh instabilities [J].

Powers, TR ;

Goldstein, RE .

PHYSICAL REVIEW LETTERS, 1997, 78 (13) :2555-2558

← 1 2 3 →