AN ELECTROTHERMAL INSTABILITY - THE INFLUENCE OF ALBEDO BOUNDARY-CONDITIONS ON THE STATIONARY STATES OF AN EXACTLY SOLVABLE MODEL

被引:34
作者
SCHAT, C
WIO, HS
机构
[1] Centro Atómico Bariloche, 8400 S.C. de Bariloche, Rio Negro
来源
PHYSICA A | 1992年 / 180卷 / 3-4期
关键词
D O I
10.1016/0378-4371(92)90392-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In order to study the effect of partially reflective (albedo) boundary conditions on pattern formation and stability in reaction-diffusion systems, we have analyzed an exactly soluble model of an electrothermal instability: the Ballast resistor. The present results allow a continuous interpolation between the results corresponding to Neumann and Dirichlet boundary conditions, and they allow qualitative changes in the patterns to be followed.
引用
收藏
页码:295 / 308
页数:14
相关论文
共 37 条
[1]   NONSTATIONARY DISSIPATIVE STRUCTURES AND DIFFUSION-INDUCED CHAOS IN NONLINEAR MEDIA [J].
AKHROMEYEVA, TS ;
KURDYUMOV, SP ;
MALINETSKII, GG ;
SAMARSKII, AA .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1989, 176 (5-6) :189-370
[2]  
[Anonymous], 1991, MATH BIOL
[3]  
[Anonymous], 1950, RAD TRANSFER
[4]   STABILITY OF INHOMOGENEOUS STATIONARY STATES FOR THE HOT-SPOT MODEL OF A SUPERCONDUCTING MICROBRIDGE [J].
BEDEAUX, D ;
MAZUR, P .
PHYSICA A, 1981, 105 (1-2) :1-30
[5]   BALLAST RESISTOR - ELECTRO-THERMAL INSTABILITY IN A CONDUCTING WIRE .1. NATURE OF STATIONARY STATES [J].
BEDEAUX, D ;
MAZUR, P ;
PASMANTER, RA .
PHYSICA A, 1977, 86 (02) :355-382
[6]  
Duderstadt J. J., 1979, Transport theory
[7]   A MULTIPARAMETER STUDY OF A BOUNDARY-VALUE PROBLEM FROM CHEMICAL REACTOR THEORY [J].
FIFE, P ;
HSIAO, L ;
ZHANG, T .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 92 (04) :307-335
[8]  
FIFE P, 1984, NONEQUILIBRIUM COOPE
[9]  
FIFE PC, 1979, LECTURE NOTES BIOMAT, V28
[10]  
FISCHER RA, 1937, ANN EUGEN, V7, P355