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Classical and multiscale non-equilibrium thermodynamics have different histories and different objectives. In this Note we explain the differences and review some topics in which the multiscale viewpoint of mesoscopic time evolution of…

统计力学 · 物理学 2025-10-02 Miroslav Grmela , Michal Pavelka

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 coupled cluster and linear response theory to compute properties of many-electron systems at non-zero temperatures. For this purpose, we make use of the thermofield dynamics, which allows for a compact wavefunction…

化学物理 · 物理学 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

统计力学 · 物理学 2021-10-07 S. N. Patitsas

A new theoretical approach to non-equilibrium statistical systems has recently been proposed by the author, a co-author and others. It is based on a variational principle which is associated with the discrepancy of a path through…

统计力学 · 物理学 2019-08-06 Richard Kleeman

We address the problem of heat conduction in 1-D nonlinear chains; we show that, acting on the parameter which controls the strength of the on site potential inside a segment of the chain, we induce a transition from conducting to…

统计力学 · 物理学 2009-11-07 M. Terraneo , M. Peyrard , G. Casati

A general formalism is developed for constructing modified Hamiltonian dynamical systems which preserve a canonical equilibrium distribution by adding a time evolution equation for a single additional thermostat variable. When such systems…

统计力学 · 物理学 2015-12-09 John D. Ramshaw

We analysed the identified hadron multiplicity predictions of the modified thermodynamical model of the multiparticle production processes with non-extensive statistic. The replacement of the standard Boltzmann exponential factor by the…

高能物理 - 唯象学 · 物理学 2015-06-15 T. Wibig

Non-zero-range interactions are often incorporated into mean field theories through gradient terms. Here, a formalism is developed to incorporate such terms into hydrodynamics. These terms alter expressions for the entropy, chemical…

核理论 · 物理学 2017-10-18 Scott Pratt

Construction, in the framework of a Nonequilibrium Statistical Ensemble Formalism, of a Mesoscopic Hydro-Thermodynamics, that is, covering phenomena involving motion displaying variations short in space and fast in time -unrestricted values…

流体动力学 · 物理学 2012-10-30 C. A. B. Silva , J. G. Ramos , A. R. Vasconcellos , R. Luzzi

The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational principle corresponding, in its simplest form, to the Maximum…

神经元与认知 · 定量生物学 2020-12-30 Rodrigo Cofré , Cesar Maldonado , Bruno Cessac

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

统计力学 · 物理学 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

高能物理 - 唯象学 · 物理学 2017-08-23 Harmen J. Warringa

Multiscale thermodynamics is a theory of relations among levels of investigation of complex systems. It includes the classical equilibrium thermodynamics as a special case but it is applicable to both static and time evolving processes in…

统计力学 · 物理学 2021-02-24 Miroslav Grmela

We propose a model for thermo-elastic beams, consistent with the theory of linear three-dimensional thermo-elasticity and deduced by a suitable version of the Principle of Virtual Powers. Dimensional reduction is achieved by postulating…

材料科学 · 物理学 2014-01-21 Antonino Favata

Building on the earlier work by Araki and Tanii, Aschieri et al., and Buratti et al., we demonstrate that every model for self-dual nonlinear electrodynamics in four dimensions has a $\mathsf{U}(1)$ duality-invariant extension to $4p>4$…

高能物理 - 理论 · 物理学 2026-03-05 Sergei M. Kuzenko

Previous studies have used numerical methods to optimize the hyperpolarizability of a one-dimensional quantum system. These studies were used to suggest properties of one-dimensional organic molecules, such as the degree of modulation of…

光学 · 物理学 2015-05-18 Urszula B. Szafruga , Mark G. Kuzyk , David S. Watkins

Extended irreversible thermodynamics is a theory that expands the classical framework of nonequilibrium thermodynamics by going beyond the local-equilibrium assumption. A notable example of this is the Maxwell-Cattaneo heat flux model,…

数学物理 · 物理学 2025-09-18 François Gay-Balmaz

The quantum nonrelativistic two-component Bose and Fermi gases with the infinitely strong point-like coupling between particles in one space dimension are considered. Time and temperature dependent correlation functions are represented in…

solv-int · 物理学 2009-10-31 A. G. Izergin , A. G. Pronko

We study the far-from-equilibrium dynamics of a (2+1)-dimensional superfluid at finite temperature and chemical potential using its holographic description in terms of a gravitational system in 3+1 dimensions. Starting from various initial…

高能物理 - 理论 · 物理学 2015-06-11 Carlo Ewerz , Thomas Gasenzer , Markus Karl , Andreas Samberg