Measurements of two-dimensional densities for a bistable device driven by colored noise

1985 ◽  
Vol 61 (3) ◽  
pp. 381-386 ◽  
Author(s):  
F. Moss ◽  
P. V. E. McClintock
Keyword(s):  
Colored Noise ◽  
Two Dimensional ◽  
Bistable Device

Holes in the two-dimensional probability density of bistable systems driven by strongly colored noise

1990 ◽  
Vol 42 (2) ◽  
pp. 703-710 ◽  
Author(s):  
G. Debnath ◽  
Frank Moss ◽  
Th. Leiber ◽  
H. Risken ◽  
F. Marchesoni
Keyword(s):  
Probability Density ◽  
Colored Noise ◽  
Two Dimensional ◽  
Bistable Systems

Effects of Colored Noise on Self-Propelled Particles in a Two-Dimensional Potential

2016 ◽  
Vol 46 (5) ◽  
pp. 541-546 ◽  
Author(s):  
Bing Wang ◽  
Xuechao Li ◽  
Changzhao Chen ◽  
Jianli Ma
Keyword(s):  
Colored Noise ◽  
Two Dimensional

scholarly journals Rate calculation in two-dimensional barriers with colored noise

2017 ◽  
Vol 1 (1) ◽  
pp. 145-155
Author(s):  
F. REVUELTA ◽  
THOMAS BARTSCH ◽  
R. M. BENITO ◽  
F. BORONDO
Keyword(s):  
Colored Noise ◽  
Two Dimensional ◽  
Rate Calculation

BIFURCATIONAL ANALYSIS OF BISTABLE SYSTEM EXCITED BY COLORED NOISE

1992 ◽  
Vol 02 (04) ◽  
pp. 979-982 ◽  
Author(s):  
V.S. ANISHCHENKO ◽  
A.B. NEIMAN
Keyword(s):  
Probability Density ◽  
Colored Noise ◽  
Gaussian Approximation ◽  
The State ◽  
Bistable System ◽  
Two Dimensional ◽  
Hole Formation ◽  
Saddle Node ◽  
Cumulant Analysis ◽  
Cumulant Equations

The appearance of a hole in the two-dimensional probability density of a bistable system excited by colored noise is investigated. To analyze the phenomenon, a cumulant analysis is used. In the Gaussian approximation, it was shown that the hole formation corresponded to the bifurcation “saddle-node-repeller” of the state of equilibrium in the system of cumulant equations.

TWO-DIMENSIONAL RATCHETS WITH NON-CONSERVATIVE IMPULSIVE FORCE

2002 ◽  
Vol 16 (26) ◽  
pp. 999-1006 ◽  
Author(s):  
TONG-JUN ZHAO ◽  
YI-ZHONG ZHUO ◽  
YONG ZHAN ◽  
QING JI ◽  
TIAN-GUANG CAO
Keyword(s):  
Transverse Direction ◽  
Colored Noise ◽  
Longitudinal Direction ◽  
Two Dimensional ◽  
Impulsive Force ◽  
Directed Motion ◽  
Harmonic Force ◽  
Brownian Motors ◽  
Brownian Particles ◽  
Current Reversal

We discuss the directed motion of overdamped Brownian particles based on a two-dimensional ratchet model with a non-conservative impulsive force field. We consider the combined effects on the stationary current due to local spatial asymmetry in the longitudinal direction as well as the constrained harmonic force in the transverse direction. We notice that the current reversal is induced by the change of colored noise strength and the dynamics in the transverse direction influences the directed motion in the longitudinal direction significantly. The non-conservative impulsive force that represents the chemical energy consumed in the conformation changing process is a crucial factor to the directed motion of the Brownian motors.

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