Entropy Production Associated with Aggregation into Granules in a Subdiffusive Environment
Entropy, 2018 We study the entropy production that is associated with the growing or shrinking of a small granule in, for instance, a colloidal suspension or in an aggregating polymer chain. A granule will fluctuate in size when the energy of binding is comparable to
Piotr Weber +3 more
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Mean-field approximation of counting processes from a differential equation perspective
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
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Derivation of the Fractional Fokker–Planck Equation for Stable Lévy with Financial Applications
Mathematics, 2023 This paper aims to propose a generalized fractional Fokker–Planck equation based on a stable Lévy stochastic process. To develop the general fractional equation, we will use the Lévy process rather than the Brownian motion.
Reem Abdullah Aljethi, Adem Kılıçman
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A fractional model to describe the Brownian motion of particles and its analytical solution
Advances in Mechanical Engineering, 2015 In this article, we apply a relatively modified analytic iterative method for solving a time-fractional Fokker–Planck equation subject to given constraints.
Jing-Jing Yao, Amit Kumar, Sunil Kumar
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Fokker-Planck Equation and Thermodynamic System Analysis
Entropy, 2015 The non-linear Fokker-Planck equation or Kolmogorov forward equation is currently successfully applied for deep analysis of irreversibility and it gives an excellent approximation near the free energy minimum, just as Boltzmann’s definition of entropy ...
Umberto Lucia, Gianpiero Gervino
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On separable Fokker-Planck equations with a constant diagonal diffusion matrix
, 1999 We classify (1+3)-dimensional Fokker-Planck equations with a constant diagonal diffusion matrix that are solvable by the method of separation of variables. As a result, we get possible forms of the drift coefficients $B_1(\vec x),B_2(\vec x),B_3(\vec x)$
Alexander Zhalij +15 more
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Entropy production for coarse-grained dynamics
New Journal of Physics, 2019 Systems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master equation (ME) that can be modeled by a Fokker–Planck equation in a coarse-grained, mesoscopic description.
D M Busiello, J Hidalgo, A Maritan
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Levy Anomalous Diffusion and Fractional Fokker--Planck Equation
, 2000 We demonstrate that the Fokker-Planck equation can be generalized into a 'Fractional Fokker-Planck' equation, i.e. an equation which includes fractional space differentiations, in order to encompass the wide class of anomalous diffusions due to a Levy ...
A.V. Chechkin +41 more
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Semi-Dilute Dumbbells: Solutions of the Fokker–Planck Equation
J, 2021 Spring bead models are commonly used in the constitutive equations for polymer melts. One such model based on kinetic theory—the finitely extensible nonlinear elastic dumbbell model incorporating a Peterlin closure approximation (FENE-P)—has previously ...
Stephen Chaffin, Julia Rees
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How accurate are the non-linear chemical Fokker-Planck and chemical Langevin equations?
, 2011 The chemical Fokker-Planck equation and the corresponding chemical Langevin equation are commonly used approximations of the chemical master equation.
Arthur V. Straube +7 more
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