EIGENVALUES OF A DIFFUSION PROCESS WITH A CRITICAL-POINT

被引:45
作者
DEKKER, H [1 ]
VANKAMPEN, NG [1 ]
机构
[1] STATE UNIV UTRECHT,INST THEORET PHYS,UTRECHT,NETHERLANDS
关键词
D O I
10.1016/0375-9601(79)90088-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The eigenvalues of a Fokker-Planck equation involving a critical point have been computed by means of a simple discretization technique. The results smoothly connect the monostable case above the critical point with the bistable case below it. © 1979.
引用
收藏
页码:374 / 376
页数:3
相关论文
共 15 条
[1]   SOLUBLE STOCHASTIC-MODEL FOR 1ST-ORDER TYPE NON-EQUILIBRIUM PHASE-TRANSITIONS [J].
BRAND, H ;
SCHENZLE, A .
PHYSICS LETTERS A, 1978, 68 (5-6) :427-429
[2]  
CAROLI B, 1978, U PARIS 7 PREPRINT
[3]   STATIONARY MOMENTUM SPACE SOLUTION OF FOKKER-PLANCK EQUATION FOR A SIMPLE MODEL OF A LASER OSCILLATOR EXHIBITING SPATIAL-DISPERSION [J].
DEKKER, H .
OPTICS COMMUNICATIONS, 1974, 10 (02) :114-119
[4]   ESTIMATING EIGENVALUES FOR LATTICE HAMILTONIAN MODELS [J].
HAMER, CJ .
PHYSICS LETTERS B, 1979, 82 (01) :75-78
[5]  
KRAMERS HA, 1957, QUANTUM MECHANICS
[6]   KRAMERS THEORY OF CHEMICAL-KINETICS - EIGENVALUE AND EIGENFUNCTION ANALYSIS [J].
LARSON, RS ;
KOSTIN, MD .
JOURNAL OF CHEMICAL PHYSICS, 1978, 69 (11) :4821-4829
[7]   ONE-DIMENSIONAL DIFFUSION IN SOLUBLE MODEL POTENTIALS [J].
MORSCH, M ;
RISKEN, H ;
VOLLMER, HD .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1978, 32 (02) :245-252
[8]   MODEL FOR DIFFUSION IN A BISTABLE POTENTIAL-FIELD [J].
RAZAVY, M .
PHYSICS LETTERS A, 1979, 72 (02) :89-90
[9]   TRANSIENT SOLUTION OF LASER FOKKER-PLANCK EQUATION [J].
RISKEN, H ;
VOLLMER, HD .
ZEITSCHRIFT FUR PHYSIK, 1967, 204 (03) :240-&
[10]   LATTICE-SPACE QUANTIZATION OF A NONLINEAR FIELD THEORY [J].
SCHIFF, LI .
PHYSICAL REVIEW, 1953, 92 (03) :766-779