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Whether and how a system reaches thermalization is a fundamental issue of statistical physics. While for one-dimensional lattices this issue has been intensively studied in terms of energy equipartition for more than half a century, few…

Statistical Mechanics · Physics 2024-05-29 Zhen Wang , Weicheng Fu , Yong Zhang , Hong Zhao

The emergent nature of spacetime geometry and black holes can be directly probed in simple holographic duals of higher spin gravity and tensionless string theory. To this end, we study time dependent thermal correlation functions of gauge…

High Energy Physics - Theory · Physics 2019-04-15 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

Stochastic dynamics play a central role in strongly coupled phenomena. We present and review a theory independent approach in holography to study such phenomena. We firstly argue that the heavy quark diffusion occurs in realistic strongly…

High Energy Physics - Theory · Physics 2018-05-24 Dimitrios Giataganas

Thermal fluctuations affect the dynamics of systems near critical points, the evolution of the early universe, and two-particle correlations in heavy-ion collisions. For the latter, numerical simulations of nearly-ideal, relativistic fluids…

Nuclear Theory · Physics 2015-06-16 Clint Young

In this paper, we consider the effect of thermal fluctuations on the entropy of both neutral and charged black holes. We emphasize the distinction between fixed and fluctuating charge systems; using a canonical ensemble to describe the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilad Gour , A. J. M. Medved

We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS spacetime. The fluctuation spectrum is governed by the lowest-lying hydrodynamic modes of the system whose frequency…

High Energy Physics - Theory · Physics 2015-01-16 Alexander Balatsky , Sven Bjarke Gudnason , Yaron Kedem , Alexander Krikun , Larus Thorlacius , Konstantin Zarembo

Understanding how statistical equilibrium can occur in out-of-equilibrium systems is of paramount interest, as it would enable the use of statistical mechanics tools to these systems. Here, we report the first experimental evidence of…

Fluid Dynamics · Physics 2025-07-10 Marlone Vernet , Eric Falcon

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi

Superstatistics is an elegant framework for the description of steady-state thermodynamics, mostly used for systems with long-range interactions such as plasmas. In this work, we show that the potential energy distribution of a classical…

Statistical Mechanics · Physics 2025-03-25 Sergio Davis , Claudia Loyola , Carlos Femenías , Joaquín Peralta

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

Quantum Physics · Physics 2018-12-12 Lars Knipschild , Jochen Gemmer

Matrix elements of observables in eigenstates of generic Hamiltonians are described by the Srednicki ansatz within the eigenstate thermalization hypothesis (ETH). We study a quantum chaotic spin-fermion model in a one-dimensional lattice,…

Statistical Mechanics · Physics 2021-09-28 C. Schönle , D. Jansen , F. Heidrich-Meisner , L. Vidmar

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations.…

High Energy Physics - Theory · Physics 2021-06-16 Aristomenis Donos , Christiana Pantelidou , Vaios Ziogas

I give a relatively broad survey of thermodynamic curvature $R$, one spanning results in fluids and solids, spin systems, and black hole thermodynamics. $R$ results from the thermodynamic information metric giving thermodynamic…

General Relativity and Quantum Cosmology · Physics 2015-06-17 George Ruppeiner

An isolated quantum system is said to thermalize if ${\rm Tr} (A \rho(t)) \to {\rm Tr} (A \rho_{\rm eq})$ for time $t \to \infty$. Here $\rho(t)$ is the time-dependent density matrix of the system, $\rho_{\rm eq}$ is the time-independent…

Quantum Physics · Physics 2024-04-22 Hans A. Weidenmüller

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

We consider the stability of black holes within both classical general relativity and the semiclassical thermodynamic description. In particular, we study linearised perturbations and their contribution to the gravitational partition…

High Energy Physics - Theory · Physics 2010-06-29 Ricardo Monteiro

Advances in controlling and measuring systems of ultra-cold atoms provided strong motivation to theoretical investigations of quantum dynamics in closed many-body systems. Fundamental questions on quantum dynamics and statistical mechanics…

Quantum Gases · Physics 2015-12-04 Ehud Altman

We explore the thermodynamics of a black-hole solution in improved holographic QCD with a simple dilaton potential having two parameters. By applying techniques of singular perturbation theory, we get uniform approximations for the metric…

High Energy Physics - Theory · Physics 2018-08-15 Eugenio Megias , Manuel Valle

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

Statistical Mechanics · Physics 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal
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