Results 241 to 250 of about 61,380 (270)

Stochastic Thermodynamics of Learning [PDF]

open access: yesPhysical Review Letters, 2017
Virtually every organism gathers information about its noisy environment and builds models from that data, mostly using neural networks. Here, we use stochastic thermodynamics to analyse the learning of a classification rule by a neural network. We show that the information acquired by the network is bounded by the thermodynamic cost of learning and ...
Sebastian Goldt, Udo Seifert
exaly   +5 more sources

Macroscopic stochastic thermodynamics [PDF]

open access: yesReviews of Modern Physics
Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and an extensive thermodynamics at the macroscopic level.
Gianmaria Falasco   +1 more
exaly   +3 more sources

Stochastic Thermodynamics

Springer Theses, 2012
Takahiro Sagawa
exaly   +2 more sources

Stochastic approach to irreversible thermodynamics

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017
An extension of classical irreversible thermodynamics pioneered by Ilya Prigogine is developed, in which fluctuations of macroscopic observables accounting for microscopic-scale processes are incorporated. The contribution of the fluctuations to the entropy production is derived from a generalized entropy balance equation and expressed in terms of the ...
Nicolis, Grégoire, De Decker, Yannick
openaire   +4 more sources

On the stochastic properties of the thermodynamic hamiltonian

Physics Letters A, 1978
Abstract If the generalized momentum in the hamiltonian equations is considered as a rapidly varying stochastic function of time then a solution of the master equation is most easily obtained by applying the central limit theorem in much the same way as one does with the Langevin equation.
C., Basili, E., Etim
openaire   +1 more source

Thermodynamics and stochastic thermodynamics of strongly coupled systems

Physical Review E
We further develop the strong-coupling theory of thermodynamics and stochastic thermodynamics for continuous systems, constructed in the previous work [Phys. Rev. Res. 4, 013015 (2022)2643-156410.1103/PhysRevResearch.4.013015]. A small system strongly interacting with a its environment, the dynamics of the system is assumed to be much slower than that ...
Xiangjun Xing, Mingnan Ding
openaire   +2 more sources

Stochastic thermodynamics

Physica Scripta, 2014
Ralf Eichhorn, Erik Aurell
  +5 more sources

Towards Stochastic Continuum Thermodynamics

Journal of Non-Equilibrium Thermodynamics, 2002
Two lines of studies for dealing with continua with a microstructure are compared. The first one is the line developed by the author and his coworkers introducing stochastic continuum mechanics with random microstructural features on a scale smaller than the representative volume element.
openaire   +1 more source

From Stochastic Thermodynamics to Thermodynamic Inference

Annual Review of Condensed Matter Physics, 2019
For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in particular, entropy production can be identified on the level of fluctuating dynamical trajectories. Within stochastic thermodynamics various fluctuation theorems relating these quantities have been proven.
openaire   +1 more source

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