Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium (Springer Theses) - Hardcover

Loos, Sarah A.M.

 
9783030807702: Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium (Springer Theses)
Hardcover
ISBN 10: 3030807703 ISBN 13: 9783030807702
Publisher: Springer, 2021

Synopsis

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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About the Author

Sarah Loos studied physics at Saarland University and Technical University Berlin, and spent one semester at Duke University in North Carolina, USA. She wrote her multi-award winning PhD thesis at Technical University Berlin and is now a Postdoc at Leipzig University. During her early career, Loos published numerous research articles and contributed to book chapters in the fields of nonlinear dynamics and statistical physics. Besides research activities she engages in science communication.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2021
Language
English
ISBN 10 
3030807703
ISBN 13 
9783030807702
Binding
Hardcover
Edition number
1
Number of pages
307

Other Popular Editions of the Same Title

9783030807733: Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium (Springer Theses)

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ISBN 10:  3030807738 ISBN 13:  9783030807733
Publisher: Springer, 2022
Softcover