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Fluctuation relations for diffusion processes

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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

  • dx ?

  • langevin equation

  • equilibrium dynamics

  • fluctuation relation

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  • ??? ?

  • dynamics

  • kramers model


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Fluctuation relations for diffuRsaipohanel  CpHrEoTcRITeEssesWeakly non-equilibrium dynamics:Fluctuation dissipation theoremGreen-Kubo relationsOnsagerrelationsFar from equilibrium equilibriumdynamics:FLUCTUATION RELATIONSRobust identities for non-equilibrium systems and reducing closeto equilibrium to the previous relations.Fluctuation relations for diffusion processes. R.Chetrite, K.Gawedzki, arXiv:0707.2725, appear in CMP
Mathematicalsetupfor thistalk:Diffusion processesxd=ut(x)+vt(x)tdjiijvt(x)vt'(x')=δ(tt')Dt(x,x')StratonovichconventionITO (1915-)Thedensityexp(ϕt(x))of x t    satisfies the continuity equation (Focker-Planck) :itρt+∂iJt=0