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Stochastic Systems with Time Delay = Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stochastic Systems with Time Delay/ by Sarah A.M. Loos.
其他題名:	Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium /
作者:	Loos, Sarah A.M.
面頁冊數:	XXII, 285 p. 81 illus., 75 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Statistics and Computing/Statistics Programs. -
電子資源:	https://doi.org/10.1007/978-3-030-80771-9
ISBN:	9783030807719

Stochastic Systems with Time Delay = Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium /
Loos, Sarah A.M.

Stochastic Systems with Time DelayProbabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium /[electronic resource] :by Sarah A.M. Loos. - 1st ed. 2021. - XXII, 285 p. 81 illus., 75 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

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, information flow, and to net energy input on the fluctuating level.

ISBN: 9783030807719

Standard No.: 10.1007/978-3-030-80771-9doiSubjects--Topical Terms:

669775
Statistics and Computing/Statistics Programs.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Stochastic Systems with Time Delay = Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium /
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