Stochastic systems with time delay : probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium / Sarah A.M. Loos.
Loos, Sarah A. M., author.
2021
QA402 .L67 2021
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Title Stochastic systems with time delay : probabilistic and thermodynamic descriptions of non-Markovian processes far from equilibrium / Sarah A.M. Loos.
Author Loos, Sarah A. M., author.
ISBN 9783030807719 (electronic bk.)
3030807711 (electronic bk.)
9783030807702
3030807703
DOI https://doi.org/10.1007/978-3-030-80771-9
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-030-80771-9 doi
Call Number QA402 .L67 2021
Dewey Decimal Classification 003/.76
Summary 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.
Note "Doctoral thesis accepted by Technical University Berlin, Berlin, Germany."
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 27, 2021).
Series Springer theses. 2190-5061
Available in Other Form Stochastic systems with time delay.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
The Langevin Equation
Fokker-Planck Equations
Stochastic Thermodynamics
Infinite Fokker-Planck Hierarchy
A Markovian Embedding- New Derivation of the Fokker-Planck Hierarchy.

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