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Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits

open access: yesPhysical Review X, 2023
Thermodynamics serves as a universal means for studying physical systems from an energy perspective. In recent years, with the establishment of the field of stochastic and quantum thermodynamics, the ideas of thermodynamics have been generalized to small
Tan Van Vu, Keiji Saito
doaj   +1 more source

Stochastic thermodynamics in a non-Markovian dynamical system. [PDF]

open access: yesPhysical Review E, 2022
The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space.
Cillian Cockrell, I. Ford
semanticscholar   +1 more source

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 ...
Goldt S., Seifert U.
openaire   +4 more sources

Exploring quantum thermodynamics with NMR

open access: yesJournal of Magnetic Resonance Open, 2023
Quantum thermodynamics seeks to extend non-equilibrium stochastic thermodynamics to small quantum systems where non-classical features are essential to its description.
C.H.S. Vieira   +4 more
doaj   +1 more source

Stochastic thermodynamics of opinion dynamics models. [PDF]

open access: yesPhysical Review E, 2022
We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics.
Tânia Tomé   +2 more
semanticscholar   +1 more source

Boltzmann stochastic thermodynamics [PDF]

open access: yesPhysical Review E, 2019
The Boltzmann kinetic equation is obtained from an integro-differential master equation that describes a stochastic dynamics in phase space of an isolated thermodynamic system. The stochastic evolution yields a generation of entropy, leading to an increase of Gibbs entropy, in contrast to a Hamiltonian dynamics, described by the Liouville equation, for
openaire   +3 more sources

Skewness and kurtosis in stochastic thermodynamics [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2021
The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides a bound on the fluctuations of any thermodynamic flux, also known as current, in terms of the average rate of entropy production.
T. Wampler, A. C. Barato
semanticscholar   +1 more source

Information geometry approach to quantum stochastic thermodynamics. [PDF]

open access: yesPhysical Review E
Recent advancements have revealed new links between information geometry and classical stochastic thermodynamics, particularly through the Fisher information (FI) with respect to time. Recognizing the nonuniqueness of the quantum Fisher metric in Hilbert
Laetitia P. Bettmann, John Goold
semanticscholar   +1 more source

Probabilities for informational free lunches in stochastic thermodynamics [PDF]

open access: yesJournal of Statistical Mechanics: Theory and Experiment, 2022
By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, w irr, and the irreversible entropy production, Δ i s, within the stochastic energetics framework.
Pedro V. Paraguassú   +3 more
semanticscholar   +1 more source

Stochastic thermodynamics: dissipativity, accumulativity, energy storage and entropy production

open access: yesPhilosophical Transactions of the Royal Society A, 2023
In this paper, we develop an energy-based dynamical system model driven by a Markov input process to present a unified framework for stochastic thermodynamics predicated on a stochastic dynamical systems formalism.
Manuel Lanchares, W. Haddad
semanticscholar   +1 more source

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