Stochastic Systems With Time Delay Probabilistic And Thermodynamic Descriptions Of Non Markovian Processes Far From Equilibrium at Meripustak

Stochastic Systems With Time Delay Probabilistic And Thermodynamic Descriptions Of Non Markovian Processes Far From Equilibrium

Books from same Author: Sarah A.M. Loos

Books from same Publisher: Springer

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  • General Information  
    Author(s)Sarah A.M. Loos
    PublisherSpringer
    ISBN9783030807702
    Pages285
    BindingHardbound
    LanguageEnglish
    Publish YearOctober 2021

    Description

    Springer Stochastic Systems With Time Delay Probabilistic And Thermodynamic Descriptions Of Non Markovian Processes Far From Equilibrium by Sarah A.M. Loos

    The nonequilibrium behavior of nanoscopic and biological systems, which are typically strongly fluctuating, is a major focus of current research. Lately, much progress has been made in understanding such systems from a thermodynamic perspective. However, new theoretical challenges emerge when the fluctuating system is additionally subject to time delay, e.g. due to the presence of feedback loops. This thesis advances this young and vibrant research field in several directions. The first main contribution concerns the probabilistic description of time-delayed systems; e.g. by introducing a versatile approximation scheme for nonlinear delay systems. Second, it reveals that delay can induce intriguing thermodynamic properties such as anomalous (reversed) heat flow. More generally, the thesis shows how to treat the thermodynamics of non-Markovian systems by introducing auxiliary variables. It turns out that delayed feedback is inextricably linked to nonreciprocal coupling, information flow, and to net energy input on the fluctuating level. The Langevin Equation.- Fokker-Planck Equations.- Stochastic Thermodynamics.- Infinite Fokker-Planck Hierarchy.- A Markovian Embedding - New Derivation of the Fokker-Planck Hierarchy.