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Stochastic systems with time delay =...

Loos, Sarah A. M.

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Stochastic systems with time delay = probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic systems with time delay/ by Sarah A. M. Loos.
Reminder of title:	probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium /
Author:	Loos, Sarah A. M.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xxii, 285 p. :ill., digital ;24 cm.
[NT 15003449]:	The Langevin Equation -- Fokker-Planck Equations -- Stochastic Thermodynamics -- Inﬁnite Fokker-Planck Hierarchy -- A Markovian Embedding - New Derivation of the Fokker-Planck Hierarchy.
Contained By:	Springer Nature eBook
Subject:	Stochastic systems. -
Online resource:	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. - Cham :Springer International Publishing :2021. - xxii, 285 p. :ill., digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

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:

663177
Stochastic systems.

LC Class. No.: QA402 / .L67 2021

Dewey Class. No.: 003.76

Stochastic systems with time delay = probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium /
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300 $a xxii, 285 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5061
505 0 $a The Langevin Equation -- Fokker-Planck Equations -- Stochastic Thermodynamics -- Inﬁnite Fokker-Planck Hierarchy -- A Markovian Embedding - New Derivation of the Fokker-Planck Hierarchy.
520 $a 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.
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