Results 171 to 180 of about 34,831 (211)
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American Journal of Physics, 1963
The Fokker-Planck approximation to the interaction term in the Boltzmann transport equation is discussed. For the case of binary collisions a simple derivation of this term is presented. The resultant expressions for the associated quantities 〈Δvi〉 and 〈ΔviΔvi〉 are evaluated for the case of a fully ionized gas.
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The Fokker-Planck approximation to the interaction term in the Boltzmann transport equation is discussed. For the case of binary collisions a simple derivation of this term is presented. The resultant expressions for the associated quantities 〈Δvi〉 and 〈ΔviΔvi〉 are evaluated for the case of a fully ionized gas.
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2021
In the preceding chapter, we have introduced the Langevin equation, which describes the random processes studied in this thesis on a stochastic level. For Markovian systems, it is well known that Fokker-Planck equations (FPE) provide a complementary way of description, on the probabilistic level.
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In the preceding chapter, we have introduced the Langevin equation, which describes the random processes studied in this thesis on a stochastic level. For Markovian systems, it is well known that Fokker-Planck equations (FPE) provide a complementary way of description, on the probabilistic level.
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Kinetic Theory – Fokker-Planck Equation
2010In this chapter, we consider a model system (protein) interacting with a surrounding medium which is only taken implicitly into account.We are interested in the dynamics on a time scale slower than the medium fluctuations. The interaction with the medium is described approximately as the sum of an average force and a stochastic force [31].
Philipp Scherer, Sighart F. Fischer
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2016
In this chapter, we review the Bakry–Emery approach from the PDE viewpoint (Sect. 2.1) and the original stochastic viewpoint (Sect. 2.3) and detail some known relations to convex Sobolev inequalities (Sect. 2.2). Our focus is the PDE viewpoint addressed by (Toscani, G, Entropy production and the rate of convergence to equilibrium for the Fokker-Planck ...
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In this chapter, we review the Bakry–Emery approach from the PDE viewpoint (Sect. 2.1) and the original stochastic viewpoint (Sect. 2.3) and detail some known relations to convex Sobolev inequalities (Sect. 2.2). Our focus is the PDE viewpoint addressed by (Toscani, G, Entropy production and the rate of convergence to equilibrium for the Fokker-Planck ...
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1984
As shown in Sects. 3.1, 2 we can immediately obtain expectation values for processes described by the linear Langevin equations (3.1, 31). For nonlinear Langevin equations (3.67, 110) expectation values are much more difficult to obtain, so here we first try to derive an equation for the distribution function.
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As shown in Sects. 3.1, 2 we can immediately obtain expectation values for processes described by the linear Langevin equations (3.1, 31). For nonlinear Langevin equations (3.67, 110) expectation values are much more difficult to obtain, so here we first try to derive an equation for the distribution function.
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On Quantum Fokker–Planck Equation
Journal of Statistical Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum Fokker-Planck equation
Journal of Physics C: Solid State Physics, 1985The dynamics of quantum systems subject to dissipation is a subject of fundamental importance which has recently been of great interest due to its relation to macroscopic quantum phenomena, In particular the behaviour of the magnetic flux trapped in a SQUID is an example of this.
L -D Chang, D Waxman
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2001
Abstract The foundations of nonequilibrium statistical mechanics are based on the Liouville equation. Many of the common methods for handling practical problems in nonequilibrium statistical mechanics, methods that will be described in the next few sections, either avoid the Liouville equation entirely or replace it by approximations ...
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Abstract The foundations of nonequilibrium statistical mechanics are based on the Liouville equation. Many of the common methods for handling practical problems in nonequilibrium statistical mechanics, methods that will be described in the next few sections, either avoid the Liouville equation entirely or replace it by approximations ...
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2021
During the last years with the studies of stochastic processes: neurons networks, molecular motors, dynamics models, anomalous diffusion, disordered media, etc, several methods have evolved to apply the Focker-Planck equation (FPE) to these phenomena. We present here the solution of the Fokker-Planck equation by the Crank-Nicholson formalism.
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During the last years with the studies of stochastic processes: neurons networks, molecular motors, dynamics models, anomalous diffusion, disordered media, etc, several methods have evolved to apply the Focker-Planck equation (FPE) to these phenomena. We present here the solution of the Fokker-Planck equation by the Crank-Nicholson formalism.
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Adaptive deep density approximation for Fokker-Planck equations
Journal of Computational Physics, 2022Xiaoliang Wan, Qifeng Liao
exaly