Ehrenfest model
The Ehrenfest model (or dog-flea model) of diffusion was proposed by Tatiana and Paul Ehrenfest to explain the second law of thermodynamics. The model considers N particles in two containers. Particles independently change container at a rate λ. If X(t) = i is defined to be the number of particles in one container at time t, then it is a birth-death process with transition rates
* for i = 1, 2, ..., N
* for i = 0, 1, ..., N – 1 and equilibrium distribution . Mark Kac proved in 1947 that if the initial system state is not equilibrium, then the entropy, given by
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Ehrenfest model
The Ehrenfest model (or dog-flea model) of diffusion was proposed by Tatiana and Paul Ehrenfest to explain the second law of thermodynamics. The model considers N particles in two containers. Particles independently change container at a rate λ. If X(t) = i is defined to be the number of particles in one container at time t, then it is a birth-death process with transition rates
* for i = 1, 2, ..., N
* for i = 0, 1, ..., N – 1 and equilibrium distribution . Mark Kac proved in 1947 that if the initial system state is not equilibrium, then the entropy, given by
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Das Ehrenfest-Modell (auch als ...... e der stochastischen Prozesse.
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Il modello di Ehrenfest della ...... probabilità all'equilibrio è .
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Le modèle des urnes est un mod ...... ifs de toute la physique ... »
@fr
The Ehrenfest model (or dog-fl ...... the equilibrium distribution.
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Das Ehrenfest-Modell (auch als ...... e der stochastischen Prozesse.
@de
Il modello di Ehrenfest della ...... probabilità all'equilibrio è .
@it
Le modèle des urnes est un mod ...... rit à son propos qu'il était :
@fr
The Ehrenfest model (or dog-fl ...... um, then the entropy, given by
@en
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Ehrenfest model
@en
Ehrenfest-Modell
@de
Modello di Ehrenfest
@it
Modèle des urnes d'Ehrenfest
@fr