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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…

Statistical Mechanics · Physics 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

An internal energy function of the mass density, the volumetric entropy and their gradients at n-order generates the representation of multi-gradient fluids. Thanks to Hamilton's principle, we obtain a thermodynamical form of the equation…

Fluid Dynamics · Physics 2018-03-19 Henri Gouin

We review how unitarity and stationarity in the Schwinger-Keldysh formalism naturally lead to a (quantum) generalized fluctuation-dissipation relation (gFDR) that works beyond thermal equilibrium. Non-Gaussian loop corrections are also…

Statistical Mechanics · Physics 2023-09-04 Xinyi Chen-Lin

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary…

Statistical Mechanics · Physics 2009-11-13 Sumiyoshi Abe , Christian Beck , E. G. D. Cohen

Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to…

Statistical Mechanics · Physics 2022-07-06 Benoît Mahault , Evelyn Tang , Ramin Golestanian

We present a systematic treatment of non-Gaussianity in stochastic systems using the Schwinger-Keldysh effective field theory framework, in which the non-Gaussianity is realized as nonlinear terms in the fluctuation field. We establish two…

High Energy Physics - Theory · Physics 2024-02-15 Shu Lin , Yanyan Bu , Chang Lei

We use the dissipative type theory (DTT) framework to solve for the evolution of conformal fluids in Bjorken and Gubser flows from isotropic initial conditions. The results compare well with both exact and other hydrodynamic solutions in…

Nuclear Theory · Physics 2020-05-15 Esteban Calzetta , Lucas Cantarutti

The low-energy dynamics of relativistic continuous media is given by a shift-symmetric effective theory of four scalar fields. These scalars describe the embedding in spacetime of the medium and play the role of St\"uckelberg fields for…

High Energy Physics - Theory · Physics 2016-08-03 Guillermo Ballesteros , Denis Comelli , Luigi Pilo

We develop an effective low-energy, long-wavelength theory of a bulk supersolid--a putative phase of matter with simultaneous crystallinity and Bose condensation. Using conservation laws and general symmetry arguments we derive an effective…

Other Condensed Matter · Physics 2010-05-05 C. -D. Yoo , Alan T. Dorsey

We review the Schwinger-Keldysh, or in-in, formalism for studying quantum dynamics of systems out-of-equilibrium. The main motivation is to rephrase well known facts in the subject in a mathematically elegant setting, by exhibiting a set of…

High Energy Physics - Theory · Physics 2017-06-28 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

The statistical properties of the local topology of two-dimensional turbulence are investigated using an electromagnetically forced soap film. The local topology of the incompressible 2D flow is characterized by the Jacobian determinant…

Fluid Dynamics · Physics 2009-11-06 Michael Rivera , Xiao-Lun Wu , Chuck Yeung

We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid turbulence, and estimate the scale at which they become important. As anticipated by Betchov in a prescient series of works more than six decades…

Fluid Dynamics · Physics 2021-11-18 Gregory Eyink , Dmytro Bandak , Nigel Goldenfeld , Alexei A. Mailybaev

his article extends the fluctuation-dissipation analysis to generic complex fluids in confined geometries and to all the cases the hydromechanic fluid-interaction kernels may depend on the particle position. This represents a completely new…

Statistical Mechanics · Physics 2024-09-13 Massimiliano Giona , Giuseppe Procopo , Chiara Pezzotti

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

Quantum Physics · Physics 2022-06-29 Gabriele De Chiara , Alberto Imparato

Breakdown of time-reversal symmetry is a defining property of non-equilibrium systems, such as active matter, which is composed of units that consume energy. We employ a formalism that allows us to derive a class of identities associated…

Statistical Mechanics · Physics 2025-09-26 Martin Kjøllesdal Johnsrud , Ramin Golestanian

A suggested amendment to the temperature dependencies in the thermodynamic potential of the Ginzburg-Sobyanin theory of superfluidity, which makes it possible to obtain critical exponents that are consistent with the general relations of…

Statistical Mechanics · Physics 2023-06-26 Yu. M. Poluektov

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

Statistical Mechanics · Physics 2023-12-15 T. R. Kirkpatrick , D. Belitz

We extend stochastic thermodynamics by relaxing the two assumptions that the Markovian dynamics must be linear and that the equilibrium distribution must be a Boltzmann distribution. We show that if we require the second law to hold when…

Statistical Mechanics · Physics 2021-05-26 Jan Korbel , David H. Wolpert

We present a new formulation of non-dissipative relativistic spin hydrodynamics that incorporates spin degrees of freedom into the divergence-type theory framework. Due to the divergence-type structure, it is straightforward to enforce…

Nuclear Theory · Physics 2025-11-26 Nick Abboud , Lorenzo Gavassino , Rajeev Singh , Enrico Speranza
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