منابع مشابه
The 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...
متن کاملThe 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 کاملComplex Probabilities and the Langevin Equation
Complex probabilities arise in quantum systems where the euclidean action is complex, either because the couplings, or the field variables, are complex. Stochastic quantization using the Langevin equation allows one to study such systems, even though the probabilistic interpretation of the euclidean functional integral measure breaks down. The convergence of long time averages computed with the...
متن کاملAlternative formulations and moment estimates for the chemical Langevin equation
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 ...
متن کاملComplex Langevin equation and the many-fermion problem
We study the utility of a complex Langevin ~CL! equation as an alternative for the Monte Carlo ~MC! procedure in the evaluation of expectation values occurring in fermionic many-body problems. We find that a CL approach is natural in cases where nonpositive definite probability measures occur, and remains accurate even when the corresponding MC calculation develops a severe ‘‘sign problem.’’ Wh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2014
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4885345