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＜E-Book＞
Stochastic Systems with Time Delay : Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium / by Sarah A.M. Loos
(Springer Theses, Recognizing Outstanding Ph.D. Research. ISSN:21905061)

Edition	1st ed. 2021.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2021
Language	English
Size	XXII, 285 p. 81 illus., 75 illus. in color : online resource
Authors	*Loos, Sarah A.M author SpringerLink (Online service)
Subjects	LCSH:Stochastic processes LCSH:Thermodynamics LCSH:Heat engineering LCSH:Heat transfer LCSH:Mass transfer LCSH:Markov processes FREE:Stochastic Processes FREE:Thermodynamics FREE:Engineering Thermodynamics, Heat and Mass Transfer FREE:Markov Process
Notes	The Langevin Equation -- Fokker-Planck Equations -- Stochastic Thermodynamics -- Infinite Fokker-Planck Hierarchy -- A Markovian Embedding – New Derivation of the Fokker-Planck Hierarchy 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, informationflow, and to net energy input on the fluctuating level HTTP:URL=https://doi.org/10.1007/978-3-030-80771-9

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