Format:
1 Online-Ressource (XXII, 285 p. 81 illus., 75 illus. in color.)
ISBN:
9783030807719
Series Statement:
Springer Theses, Recognizing Outstanding Ph.D. Research
Content:
The Langevin Equation -- Fokker-Planck Equations -- Stochastic Thermodynamics -- Infinite Fokker-Planck Hierarchy -- A Markovian Embedding – New Derivation of the Fokker-Planck Hierarchy.
Content:
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.
Additional Edition:
ISBN 9783030807702
Additional Edition:
ISBN 9783030807726
Additional Edition:
ISBN 9783030807733
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030807702
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030807726
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030807733
Language:
English
DOI:
10.1007/978-3-030-80771-9
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