The chemical Langevin equation
نویسندگان
چکیده
منابع مشابه
The chemical Langevin equation
The stochastic dynamical behavior of a well-stirred mixture of N molecular species that chemically interact through M reaction channels is accurately described by the chemical master equation. It is shown here that, whenever two explicit dynamical conditions are satisfied, the microphysical premise from which the chemical master equation is derived leads directly to an approximate time-evolutio...
متن کاملThe complex chemical Langevin equation.
The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite time due to the problem of evaluating square roots of negative quantities whenever the molecule numbers become sufficiently small. We show that this issue is not a numerical integration problem, rather in many systems i...
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The chemical Langevin equation (CLE) is a multivariable Itô stochastic differential equation that describes the time evolution of molecular counts of reacting chemical species (Gillespie, 2000). It lies between the deterministic ordinary differential equation (ODE) model and the discrete probabilistic chemical master equation model in that it is continuous and probabilistic. Suppose n chemical ...
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Some 20 years ago, in a paper written jointly with Peter Mazur, we presented a discussion of the statistical mechanics of a coupled-oscil lator model of a heat bath. ~1) This model enabled us to obtain the quan tum mechanical form of the Langevin equat ion for a Brownian particle moving in an external potential. Ou r purpose here is to repeat this derivation, using a different, some would say s...
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We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both subdiffusion and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of these two forms of anomalous diffu...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2000
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.481811