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We show that classical thermodynamics has a formulation in terms of Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic variables come in conjugate pairs such as pressure/volume or temperature/entropy, the phase…

High Energy Physics - Theory · Physics 2008-11-26 S. G. Rajeev

The present work deals with three alternative generalized Bekenstein-Hawking formulation of thermodynamical parameters namely entropy and temperature for the universal thermodynamical system bounded by a horizon in the frame work of…

General Physics · Physics 2017-02-21 Subhajit Saha , Subenoy Chakraborty

In conventional fluids, it is well known that Euler-scale equations are plagued by ambiguities and instabilities. Smooth initial conditions may develop shocks, and weak solutions, such as for domain wall initial conditions (the paradigmatic…

Statistical Mechanics · Physics 2025-06-05 Friedrich Hübner , Benjamin Doyon

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the 1d Lieb-Liniger model with two additional components representing the population of atoms in the first and second…

We present a new approach for achieving high-order convergence in fully general-relativistic hydrodynamic simulations. The approach is implemented in WhiskyTHC, a new code that makes use of state-of-the-art numerical schemes and was key in…

General Relativity and Quantum Cosmology · Physics 2014-03-11 David Radice , Luciano Rezzolla , Filippo Galeazzi

An effective computer program for three dimensional relativistic hydrodynamical model has been developed. It implements a new approach to the early hot phase of relativistic heavy-ion collisions. The computer program simulates time-space…

Nuclear Theory · Physics 2009-11-11 Daniel Kikola , Wiktor Peryt , Yuri M. Sinyukov , Marcin Slodkowski , Marek Szuba

We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of some expanding dynamics is required. We prove that every…

Dynamical Systems · Mathematics 2024-04-19 Manuel Stadlbauer , Shintaro Suzuki , Paulo Varandas

We consider the problem of computing dynamic correlation functions of quantum integrable models employing the thermodynamic form-factor approach. Specifically, we focus on correlations of local operators that conserve the number of…

Statistical Mechanics · Physics 2021-03-01 Miłosz Panfil

We present an exact treatment of the thermodynamics of physical systems in the framework of the generalized uncertainty principle (GUP). Our purpose is to study and compare the consequences of two GUPs that one implies a minimal length…

High Energy Physics - Theory · Physics 2016-03-11 M. Abbasiyan-Motlaq , P. Pedram

Molecular dynamics simulations are an invaluable tool in numerous scientific fields. However, the ubiquitous classical force fields cannot describe reactive systems, and quantum molecular dynamics are too computationally demanding to treat…

Chemical Physics · Physics 2022-08-09 Xiangyun Lei , Andrew J. Medford

We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum…

High Energy Physics - Theory · Physics 2018-08-08 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener

Key to being able to accurately model the properties of realistic materials is being able to predict their properties in the thermodynamic limit. Nevertheless, because most many-body electronic structure methods scale as a high-order…

Chemical Physics · Physics 2024-04-04 Edgar Josué Landinez Borda , Kenneth O. Berard , Annette Lopez , Brenda Rubenstein

Simulating and predicting dynamics of quantum many-body systems is extremely challenging, even for state-of-the-art computational methods, due to the spread of entanglement across the system. However, in the long-wavelength limit, quantum…

2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a…

High Energy Physics - Theory · Physics 2023-09-20 Nabil Iqbal , Napat Poovuttikul

Unstable particles rarely feature in conjunction with integrability in 1+1D quantum field theory. However, the family of homogenous sine-Gordon models provides a rare example where both stable and unstable bound states are present in the…

High Energy Physics - Theory · Physics 2022-04-27 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Aleksandra A. Ziółkowska

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Kirsten Martens , Olivier Dauchot , Michel Droz

We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantum simulator of this field theory and fueling the parallel…

Statistical Mechanics · Physics 2024-01-12 Alvise Bastianello

We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well…

Statistical Mechanics · Physics 2022-01-26 Jacopo De Nardis , Benjamin Doyon , Marko Medenjak , Miłosz Panfil