Real-time and imaginary-time quantum hierarchal Fokker-Planck equations
نویسندگان
چکیده
منابع مشابه
Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation
This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.
متن کاملLinearized quantum and relativistic Fokker-Planck-Landau equations
After a recent work on spectral properties and dispersion relations of the linearized classical Fokker-Planck-Landau operator 8], we establish in this paper analogous results for two more realistic collision operators: The rst one is the Fokker-Planck-Landau collision operator obtained by relativistic calculations of binary interactions , and the second is a collision operator (of Fokker-Planck...
متن کاملGeneralized Stochastic Fokker-Planck Equations
We consider a system of Brownian particles with long-range interactions. We go beyond the mean field approximation and take fluctuations into account. We introduce a new class of stochastic Fokker-Planck equations associated with a generalized thermodynamical formalism. Generalized thermodynamics arises in the case of complex systems experiencing small-scale constraints. In the limit of short-r...
متن کاملPhi-entropy inequalities and Fokker-Planck equations
We present new Φ-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure. Applications to the long time behaviour of solutions to Fokker-Planck equations are given.
متن کاملDiscrete-time ratchets, the Fokker-Planck equation and Parrondo’s paradox
Parrondo’s games manifest the apparent paradox where losing strategies can be combined to win and have generated significant multidisciplinary interest in the literature. Here we review two recent approaches, based on the Fokker-Planck equation, that rigorously establish the connection between Parrondo’s games and a physical model known as the flashing Brownian ratchet. This gives rise to a new...
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: 2015
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4916647