范围广
发表于 2025-3-28 18:08:24
Stochastic Thermodynamicss at a generalization of thermodynamic notions towards small-scale systems dominated by thermal fluctuations and towards nonequilibrium systems [.]. On this scale, individual fluctuating trajectories can transiently violate the second law of thermodynamics, but in the limit of large systems (or long
Decimate
发表于 2025-3-28 20:51:57
Infinite Fokker-Planck Hierarchyderstand the non-Markovian dynamics. Later in Chap. ., we will present a new derivation of the FP description using a Markovian embedding technique [.,.,.,.,.,.]. To better understand the technical and conceptual difference of our approach, we will here also review some earlier work, in particular,
NADIR
发表于 2025-3-28 23:56:57
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Incisor
发表于 2025-3-29 04:25:18
Approximation for the Two-time Probability density the Fokker-Planck hierarchy. In particular, we have discussed the perturbation theory and the force-linearization closure (Chap. .). While these approaches render quite accurate descriptions of the intrawell dynamics, they do not yield any information about the .-time PDF.
睨视
发表于 2025-3-29 09:26:00
The Heat Flow Induced by a Discrete Delays with discrete delay. This quantity can be calculated via well-established concepts from stochastic thermodynamics, in particular, from the framework of stochastic energetics [.]. The heat flow and related medium entropy production are key thermodynamic quantities, which already provide important p
主动脉
发表于 2025-3-29 14:17:45
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翻动
发表于 2025-3-29 16:22:01
Summaryis a colloidal (Brownian) particle subject to a position-dependent, time-delayed feedback force and nonlinear static forces stemming from a potential. We describe its noisy motion by a Langevin equation, which is, due to the delay, non-local in time and infinite-dimensional.
ensemble
发表于 2025-3-29 20:58:25
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pineal-gland
发表于 2025-3-30 02:13:40
f structural members. In the contemporary construction landscape, where environmental concerns and resource limitations significantly influence design practices, the integration of sustainability principles into structural engineering has become imperative. The introductory section emphasizes the mu