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Volumn 81, Issue 4, 2010, Pages

Transport and its enhancement caused by coupling

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; DICHOTOMOUS NOISE; JOSEPHSON JUNCTION ARRAYS; LATTICE SYSTEM; MEAN FIELD APPROXIMATION; NEAREST NEIGHBORS; PROBABILITY CURRENT; PROTEIN MOTORS; TRANSPORT THEORY;

EID: 77950949970     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.041104     Document Type: Article
Times cited : (23)

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    • The relationship between the stationary probability current J and stationary average velocity V s = dx/dt V s for Eq. is s = (d-c ) J (see Ref.).
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    • For a colored Gaussian noise, one can note (without a proof) that, usually, the results (or properties) of stochastic particles subject to a this noise (Gaussian colored) are the same as the ones for an equivalent system driven by a symmetric dichotomous noise.
    • For a colored Gaussian noise, one can note (without a proof) that, usually, the results (or properties) of stochastic particles subject to a this noise (Gaussian colored) are the same as the ones for an equivalent system driven by a symmetric dichotomous noise.
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    • If we add a thermal (Gaussian white) noise in Eq. , two methods can be used for us to solve the problem. One is the numerical simulation method directly using the Langevin equation, but this will result in a long-time calculation for the workstations or computers and, of course, we cannot get the exact (or approximate) analytical formula for the stationary probability current. The other is the method using the method in Ref. together with the mean-field approximation in Ref. but, for this method, the exact (or approximate) analytical formula for the stationary probability current cannot be gotten because of the complexity caused by the coupling.
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