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In this paper, we develop a variational foundation for stochastic thermodynamics of finite-dimensional, continuous-time systems. Requiring the second law (non-negative average total entropy production) systematically yields a consistent…

Statistical Mechanics · Physics 2026-05-07 Héctor Vaquero del Pino , François Gay-Balmaz , Hiroaki Yoshimura , Lock Yue Chew

We consider the fluctuations of the free energy in generalized Sherrington-Kirkpatrick models and the log likelihood ratio of spiked Wigner models in the high temperature/subcritical regime. We prove that the limiting laws of the…

Probability · Mathematics 2026-05-25 Hyunsuk Choo , Yoochan Han , Ji Oon Lee

The spherical Sherrington-Kirkpatrick model is a spherical mean field model for spin glass. We consider the fluctuations of the free energy at arbitrary non-critical temperature for the 2-spin model with no magnetic field. We show that in…

Probability · Mathematics 2016-09-21 Jinho Baik , Ji Oon Lee

We analyze the large-$N$ expansion of general non-equilibrium systems with fluctuating matrix degrees of freedom and $SU(N)$ symmetry, using the Schwinger-Keldysh formalism and its closed real-time contour with a forward and backward…

High Energy Physics - Theory · Physics 2020-09-16 Petr Horava , Christopher J. Mogni

We develop a general formalism for introducing stochastic fluctuations around thermodynamic equilibrium which takes into account, for the first time, recent developments on the causality and stability properties of relativistic hydrodynamic…

Nuclear Theory · Physics 2023-06-16 Nicki Mullins , Mauricio Hippert , Jorge Noronha

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour arXiv:2008.01269. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS$_5$…

High Energy Physics - Theory · Physics 2022-09-14 Yanyan Bu , Xiyang Sun , Biye Zhang

We derive the low-energy effective action governing the infrared dynamics of relativistic superfluids at finite temperature. We organize our derivation in an effective field theory fashion-purely in terms of infrared degrees of freedom and…

High Energy Physics - Theory · Physics 2011-09-20 Alberto Nicolis

We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the…

High Energy Physics - Theory · Physics 2021-02-25 Akash Jain , Pavel Kovtun , Adam Ritz , Ashish Shukla

The topological charge density two-point function is computed in a three-flavor effective linear meson model, including contributions from topological sectors with arbitrary charge. A corresponding composite field is introduced via a…

High Energy Physics - Phenomenology · Physics 2025-10-15 G. Fejos , A. Patkos

To reveal how nonequilibrium physics and relativity theory intertwine, this articles studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy ds, which is locally produced in this extreme…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Axel Fingerle

We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find that microscopic unitarity enforces genuinely new…

High Energy Physics - Theory · Physics 2018-11-28 Kristan Jensen , Raja Marjieh , Natalia Pinzani-Fokeeva , Amos Yarom

We construct a quantum Schwinger-Keldysh (SK) effective field theory for the diffusive hydrodynamics of a conserved scalar field. Quantum corrections within the SK framework are guided by fluctuation-dissipation relations, enforced via a…

High Energy Physics - Theory · Physics 2026-01-30 Akash Jain

In this work, using Jacobson's idea: '$\delta$Q=TdS hold for all the local Rindler causal horizons through each spacetime point', we found that the transitions between the excited and ground state of a particle in a linear acceleration…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Liangsuo Shu , Xiaokang Liu , Kaifeng Cui , Zhichun Liu , Wei Liu

In two-dimensional systems with a continuous symmetry the Mermin-Wagner-Hohenberg theorem precludes spontaneous symmetry breaking and condensation at finite temperature. The Berezinskii-Kosterlitz-Thouless critical temperature marks the…

Quantum Gases · Physics 2016-02-04 G. Bighin , L. Salasnich

We construct a three-dimensional locally scale invariant version of the free Schroedinger field theory. It is shown to provide an effective theory of superfluid turbulence in Helium IV.

Other Condensed Matter · Physics 2013-02-25 Siddhartha Sen , Koushik Ray

The past decade has witnessed the development of systematic effective theories for dissipative thermal systems. Here, we describe an analogous effective theory framework that applies to the classical stochastic dynamics of nonequilibrium…

Statistical Mechanics · Physics 2023-10-20 Xiaoyang Huang , Jack H. Farrell , Aaron J. Friedman , Isabella Zane , Paolo Glorioso , Andrew Lucas

Fluctuation-Dissipation Relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two ``potentials'' (total energy and entropy) and two ``matrices'' which determine the…

Fluid Dynamics · Physics 2007-05-23 F. Vazquez , M. A. Olivares-Robles , S. Delgado

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

Statistical Mechanics · Physics 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

The existence of a generalized fluctuation-dissipation theorem observed in simulations and experiments performed in various glassy materials is related to the concepts of local equilibration and heterogeneity in space. Assuming the…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov