Fluctuation relations for diffusion processes

Raphael Chetrite

Description

Fluctuation relations for diffusion processes Raphael CHETRITE Weakly non-equilibrium dynamics : Fluctuation dissipation theorem Green-Kubo relations Onsager relations Far from equilibrium equilibrium dynamics : FLUCTUATION RELATIONS Robust identities for non-equilibrium systems and reducing close to equilibrium to the previous relations. Fluctuation relations for diffusion processes. R.Chetrite, K.Gawedzki, arXiv:0707.2725, appear in CMP

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• langevin equation


• equilibrium dynamics


• fluctuation relation


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• dynamics


• kramers model

Sujets

• Langevin equation
• Dynamics

Informations

• Publié par: pefav
• Nombre de lectures: 24
• Langue: English

Extrait

Fluctuation relations for diffu R s a i p o ha n el    C p H r E o T c RIT e E sses Weakly non-equilibrium dynamics: Fluctuation dissipation theorem Green-Kubo relations Onsagerrelations Far from equilibrium equilibriumdynamics: FLUCTUATION RELATIONS Robust identities for non-equilibrium systems and reducing close to equilibrium to the previous relations. Fluctuation relations for diffusion processes. R.Chetrite, K.Gawedzki, arXiv:0707.2725, appear in CMP

Mathematicalsetupfor thistalk: Diffusion processes xd = u t ( x ) + v t ( x ) td ji ij v t (x)v t ' (x') =δ (t − t')D t (x,x') Stratonovich convention ITO (1915-) The density exp( −ϕ t (x)) of x   t     satisfies the continuity equation (Focker-Planck) : i ∂ t ρ t +∂ i J t = 0