Results 191 to 200 of about 73,120 (246)
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2014
In the previous chapter we studied the Fokker-Planck equation in just one variable. In this chapter we analyze the Fokker-Planck equation in several variables. We consider a system described by N variables x 1, x 2, x 3, …, x N .
Tânia Tomé, Mário J. de Oliveira
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In the previous chapter we studied the Fokker-Planck equation in just one variable. In this chapter we analyze the Fokker-Planck equation in several variables. We consider a system described by N variables x 1, x 2, x 3, …, x N .
Tânia Tomé, Mário J. de Oliveira
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2014
Abstract This chapter deals with deriving Fokker–Planck equations (FPEs) that govern the behaviour of phase space distribution functions (normalised and unnormalised) for boson and fermion systems due to dynamical or thermal evolution.
Bryan J. Dalton +2 more
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Abstract This chapter deals with deriving Fokker–Planck equations (FPEs) that govern the behaviour of phase space distribution functions (normalised and unnormalised) for boson and fermion systems due to dynamical or thermal evolution.
Bryan J. Dalton +2 more
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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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Physical Review E, 2018
This paper considers two nonequilibrium model systems described by linear Fokker-Planck equations for the time-dependent velocity distribution functions that yield steady state Kappa distributions for specific system parameters.
B. Shizgal
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This paper considers two nonequilibrium model systems described by linear Fokker-Planck equations for the time-dependent velocity distribution functions that yield steady state Kappa distributions for specific system parameters.
B. Shizgal
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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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On Quantum Fokker–Planck Equation
Journal of Statistical Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continuous time random walk to a general fractional Fokker–Planck equation on fractal media
The European Physical Journal Special Topics, 2021H. Fu +3 more
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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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