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A plausible mechanism of thermalization in isolated quantum systems is based on the strong version of the eigenstate thermalization hypothesis (ETH), which states that all the energy eigenstates in the microcanonical energy shell have…

Statistical Mechanics · Physics 2018-05-23 Toru Yoshizawa , Eiki Iyoda , Takahiro Sagawa

Time dependent perturbations of states in the holographic dual of a 3+1 dimensional confining theory are considered. The perturbations are induced by varying the coupling to the theory's most relevant operator. The dual gravitational theory…

High Energy Physics - Theory · Physics 2015-12-31 Takaaki Ishii , Elias Kiritsis , Christopher Rosen

We consider black hole spacetimes that are holographically dual to strongly coupled field theories in which spatial translations are broken explicitly. We discuss how the quasinormal modes associated with diffusion of heat and charge can be…

High Energy Physics - Theory · Physics 2018-04-04 Aristomenis Donos , Jerome P. Gauntlett , Vaios Ziogas

In this paper we study the thermodynamics of rotating black hole solutions arising from four-dimensional gauged N=2 supergravity. We analyze two different supergravity models, characterized by prepotentials $F = -i X^0 X^1$ and $F= -2i…

High Energy Physics - Theory · Physics 2016-09-14 Chiara Toldo

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

Statistical Mechanics · Physics 2016-10-05 P. E. G. Assis

We present a unified thermodynamical description of the configurations consisting on self-gravitating radiation with or without a black hole. We compute the thermal fluctuations and evaluate where will they induce a transition from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Renaud Parentani , Joseph Katz , Isao Okamoto

We study the dynamical and statistical behavior of the Hamiltonian Mean Field (HMF) model in order to investigate the relation between microscopic chaos and phase transitions. HMF is a simple toy model of $N$ fully-coupled rotators which…

chao-dyn · Physics 2014-10-13 Vito Latora , Andrea Rapisarda , Stefano Ruffo

In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seventy years later, the topic is not fully understood: while…

Statistical Mechanics · Physics 2026-04-01 Marco Baldovin , Marco Cattaneo , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

The Eigenstate Thermalization Hypothesis explains thermalization in isolated quantum systems through the statistical properties of observables in the energy eigenbasis. We investigate the crossover from integrability to chaos in the…

Quantum Physics · Physics 2026-01-15 Shivam Mishra , C Jisha , Ravi Prakash

A great many observables seen in intermediate energy heavy ion collisions can be explained on the basis of statistical equilibrium. Calculations based on statistical equilibrium can be implemented in microcanonical ensemble (energy and…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , W. G. Lynch , A. Z. Mekjian , M. B. Tsang

We investigate a new class of $(n+1)$-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher dimensional solutions in massive gravity…

General Relativity and Quantum Cosmology · Physics 2023-10-31 S. Rajaee Chaloshtary , M. Kord Zangeneh , S. Hajkhalili , A. Sheykhi , S. M. Zebarjad

The dynamical justifications which lie at the basis of an effective Statistical Mechanics for self gravitating systems are formulated, analyzing some among the well known obstacles thought to prevent a rigorous Statistical treatment. It is…

Astrophysics · Physics 2009-11-06 Piero Cipriani , Marco Pettini

We study aspects of chaos and thermodynamics at strong coupling in a scalar model using LCT numerical methods. We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients describing eigenstates in our…

High Energy Physics - Theory · Physics 2023-02-22 Luca V. Delacretaz , A. Liam Fitzpatrick , Emanuel Katz , Matthew T. Walters

This paper presents a toy model of a charged relativistic classical gas in flat spacetime of an arbitrary number of dimensions equipped with some ``pair production'' mechanism. Working with the microcanonical ensemble, the charge is taken…

Statistical Mechanics · Physics 2023-04-04 C. P. Felix , E. S. Moreira

We analyze the self-thermalization dynamics of the $M$-site Bose-Hubbard model in terms of the single-particle density matrix that is calculated by using the pseudoclassical approach. It is shown that a weak inter-particle interaction,…

Quantum Physics · Physics 2026-02-02 Andrey R. Kolovsky

In this paper, we study the thermodynamical properties of the classical one-dimensional Klein-Gordan lattice model ($n \ge 2$) by using the cluster variation method with linear response theory. The results of this method are exact in the…

Statistical Mechanics · Physics 2024-10-28 Hu-Wei Jia , Ning-Hua Tong

We study the equilibrium and near-equilibrium properties of a holographic five-dimensional model consisting of Einstein gravity coupled to a scalar field with a non-trivial potential. The dual four-dimensional gauge theory is not conformal…

This chapter discusses the conditions and timescales under which isolated many-body quantum systems, initially far from equilibrium, ultimately reach thermal equilibrium. We also examine quantities that, during the relaxation process,…

Statistical Mechanics · Physics 2025-04-16 Isaías Vallejo-Fabila , Lea F. Santos

In these conference proceedings, I describe recent developments in the study of thermalization dynamics in strongly, but not infinitely strongly coupled field theories using holography. After reviewing the main tools required in these…

High Energy Physics - Phenomenology · Physics 2014-11-27 Aleksi Vuorinen
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