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• W2962820025 abstract "We study fluctuation relations (FRs) for dynamics that are anomalous, in the sense that the diffusive properties strongly deviate from the ones of standard Brownian motion. We first briefly review the concept of transient work FRs for stochastic dynamics modeled by the ordinary Langevin equation. We then introduce three generic types of dynamics generating anomalous diffusion: Lévy flights, long-time correlated Gaussian stochastic processes, and time-fractional kinetics. By combining Langevin and kinetic approaches, we calculate the work probability distributions in the simple nonequilibrium situation of a particle subject to a constant force. This allows us to check the transient FR for anomalous dynamics. We find a new form of FRs, which is intimately related to the validity of fluctuation–dissipation relations. Analogous results are obtained for a particle in a harmonic potential dragged by a constant force. We argue that these findings are important for understanding fluctuations in experimentally accessible systems. As an example, we discuss the anomalous dynamics of biological cell migration both in equilibrium and in nonequilibrium under chemical gradients." @default.
• W2962820025 created "2019-07-30" @default.
• W2962820025 creator A5001687115 @default.
• W2962820025 creator A5045548397 @default.
• W2962820025 creator A5091805538 @default.
• W2962820025 date "2013-02-11" @default.
• W2962820025 modified "2023-09-27" @default.
• W2962820025 title "Anomalous Fluctuation Relations" @default.
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• W2962820025 doi "https://doi.org/10.1002/9783527658701.ch8" @default.
• W2962820025 hasPublicationYear "2013" @default.
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