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The statistics of the condensed polaritons is described in terms of the Wigner function. In the framework of the truncated Wigner method, the Wigner function obeys a Fokker- Planck equation, which is solved analytically. The second order…

介观与纳米尺度物理 · 物理学 2015-05-18 Paolo Schwendimann , Antonio Quattropani , Davide Sarchi

In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation with the non-additive correlation functional. The collisional term following the…

统计力学 · 物理学 2023-02-23 Airton Deppman , Alireza K. Golmankhaneh , Eugenio Megias , Roman Pasechnik

Reply to the comment, cond-mat/0209398 by by N.W. Watkins, S.C. Chapman, and G. Rowlands

The Becker-D\"oring equations are an infinite dimensional system of ordinary differntial equations describing coagulation/fragmentation processes of species of integer sizes. Formal Taylor expansions motivate that its solution should be…

经典分析与常微分方程 · 数学 2019-02-22 Gabriel Stoltz , Pierre Terrier

Comments on the article "Pulsar dynamics: magnetic dipole model revisited".

天体物理学 · 物理学 2007-05-23 D. P. Barsukov , E. M. Kantor , A. I. Tsygan

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

统计计算 · 统计学 2013-07-01 Somak Dutta , Sourabh Bhattacharya

In a previous work, a perturbative approach to a class of Fokker-Planck equations, which have constant diffusion coefficients and small time-dependent drift coefficients, was developed by exploiting the close connection between the…

数学物理 · 物理学 2015-05-27 Wen-Tsan Lin , Choon-Lin Ho

We present a new stability and convergence analysis for the spatial discretization of a time-fractional Fokker--Planck equation in a convex polyhedral domain, using continuous, piecewise-linear, finite elements. The forcing may depend on…

数值分析 · 数学 2019-02-11 Kim Ngan Le , William McLean , Kassem Mustapha

These supplementary notes in the ArXiv are a companion to our paper "Bocher contractions of conformally superintegrable Laplace equations" [arXiv:1512.09315]. They contain background material and the details of the extensive computations…

数学物理 · 物理学 2024-04-19 E. G. Kalnins , W. Miller , E. Subag

We investigate the relationships between weather forecasting, weather derivatives, the Black-Scholes equation, Feynmann-Kac theory and the Fokker-Planck equation. There is one useful result, but on the whole the relations we present seem to…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

We consider a system of Fokker-Planck-Kolmogorov (FPK) equations, where the dependence of the coefficients is nonlinear and nonlocal in time with respect to the unknowns. We extend the numerical scheme proposed and studied recently by the…

数值分析 · 数学 2018-05-03 Elisabetta Carlini , Francisco J. Silva

In this article, we consider a model motivated by large ensembles of nanoparticles' magnetization dynamics using the Fokker-Planck equation and analyze the underlying parabolic PDE being defined on a smooth, compact manifold without…

最优化与控制 · 数学 2023-07-10 Hannes Albers , Tobias Kluth

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

统计方法学 · 统计学 2008-08-29 Gérard Letac

In the present article, an approach to find the exact solution of the fractional Fokker-Planck equation is presented. It is based on transforming it to a system of first-order partial differential equation via Hopf transformation, together…

偏微分方程分析 · 数学 2020-08-10 H. I. Abdel-Gawad , N. H. Sweilam , S. M. AL-Mekhlafi , D. Baleanu

By constructing successful couplings for degenerate diffusion processes, explicit derivative formula and Harnack type inequalities are presented for solutions to a class of degenerate Fokker-Planck equations on $\R^m\times\R^{d}$. The main…

概率论 · 数学 2012-03-13 Arnaud Guillin , Feng-Yu Wang

We study stochastic ratchets with inertia in the limit where the time correlations become important. We have developed a Fokker-Planck type equation for the ratchet problem which includes the memory effects. It is tested with comparison to…

统计力学 · 物理学 2007-05-23 E. Kececioglu , B. Tanatar , M. Cemal Yalabik

We discuss the approach to equilibrium of systems governed by the Fokker-Planck equation. In particular, we focus on problems involving barrier penetration and the associated Kramers' time. We also describe the connection between stochastic…

统计力学 · 物理学 2007-05-23 Himadri S. Samanta , J. K. Bhattacharjee

Comments are made on some recently published papers on matter collineations of plane symmetric, cylindrically symmetric and spherically symmetric spacetimes.

广义相对论与量子宇宙学 · 物理学 2015-05-18 Asghar Qadir , K. Saifullah

Comment on "Biases in the Quasar Mass-Luminosity Plane"

高能天体物理现象 · 物理学 2010-12-01 Charles Steinhardt , Martin Elvis

In this paper, we study the numerical approximation of a system of PDEs with fractional time derivatives. This system is derived from an optimal control problem for a time-fractional Fokker-Planck equation with time dependent drift by…

数值分析 · 数学 2020-06-08 Fabio Camilli , Serikbolsyn Duisembay , Qing Tang