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Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT) provides a general framework for the description of non-equilibrium phenomena at any level, particularly the atomistic one. This theory and its dynamical postulate are used here to…

Chemical Physics · Physics 2017-05-03 Gian Paolo Beretta , Michael von Spakovsky

This paper presents a nonequilibrium, first-principles, thermodynamic-ensemble based model for the relaxation process of interacting non-equilibrium systems. This model is formulated using steepest-entropy-ascent quantum thermodynamics…

Statistical Mechanics · Physics 2018-10-10 Guanchen Li , Michael R. von Spakovsky

Steepest-entropy-ascent quantum thermodynamics, or SEAQT, is a unified approach of quantum mechanics and thermodynamics that avoids many of the inconsistencies that can arise between the two theories. Given a set of energy levels, i.e.,…

Materials Science · Physics 2019-07-26 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds

Steepest-entropy-ascent quantum thermodynamics (SEAQT) is an intriguing approach that describes equilibrium and dynamic processes in a self-consistent way. The applicability is limited to mainly gas phases because of a complex…

Materials Science · Physics 2018-08-01 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds,

By suitable reformulations, we cast the mathematical frameworks of several well-known different approaches to the description of non-equilibrium dynamics into a unified formulation, which extends to such frameworks the concept of Steepest…

Statistical Mechanics · Physics 2014-10-14 Gian Paolo Beretta

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

Statistical Mechanics · Physics 2013-06-27 Gian Paolo Beretta

This paper presents a nonequilibrium thermodynamic model for the relaxation of a local, isolated system in nonequilibrium using the principle of steepest entropy ascent (SEA), which can be expressed as a variational principle in…

Statistical Mechanics · Physics 2016-09-21 Guanchen Li , Michael R. von Spakovsky

The Hagedorn regime of string theory is usually understood as an equilibrium limiting phenomenon: the exponential growth of the density of states makes the canonical partition function singular at the Hagedorn temperature, while in the…

High Energy Physics - Theory · Physics 2026-05-08 Cesar Damian , Oscar Loaiza-Brito

This work outlines the foundations for being able to do a first-principle study of the adsorption process using the steepest-entropy-ascent quantum thermodynamic (SEAQT) framework, a framework able to predict the unique non-equilibrium path…

This work presents an analysis of the evolution of perturbed Bell diagonal states using the equation of motion of steepest-entropy-ascent quantum thermodynamics (SEAQT), the Lindblad equation, and various measures of loss of entanglement.…

Quantum Physics · Physics 2024-08-27 Cesar Damian , Robert Holladay , Adriana Saldana , Michael von Spakovsky

Quantum systems driven by time-dependent Hamiltonians are considered here within the framework of steepest-entropy-ascent quantum thermodynamics (SEAQT) and used to study the thermodynamic characteristics of such systems. In doing so, a…

Statistical Mechanics · Physics 2017-08-23 ILki Kim , Michael R. von Spakovsky

The hierarchical equations of motion (HEOM) for a generalized quantum dissipative system is rigorously constructed in the frameworks of two different stochastic dynamical descriptions, i.e., the non-Markovian quantum state diffusion…

Quantum Physics · Physics 2018-07-18 Wei Wu

We consider the steepest entropy ascent (SEA) ansatz to describe the non-linear thermodynamic evolution of a quantum system. Recently this principle has been dubbed the fourth law of thermodynamics (Beretta Gian Paolo. 2020 The fourth law…

Quantum Physics · Physics 2022-08-17 Rohit Kishan Ray

The steepest-entropy-ascent quantum thermodynamic (SEAQT) framework was used to calculate the stability of a collection of point defects in 2D PtSe$_2$ and predict the kinetics with which defects rearrange during thermal annealing. The…

Materials Science · Physics 2022-12-19 Aimen Younis , Fazel Baniasadi , Michael R. von Spakovsky , William T. Reynolds

We study the behaviour of holographic entanglement entropy (HEE) in near equilibrium thermal states which are macroscopically described by conformal relativistic hydrodynamic flows dual to dynamical black brane geometries. We compute HEE…

High Energy Physics - Theory · Physics 2023-05-23 Jyotirmoy Bhattacharya , Parthajit Biswas , A. Chandranathan , Sayan Kumar Das

Being a numerically exact method for the simulation of dynamics in open quantum systems, the hierarchical equations of motion (HEOM) still suffers from the curse of dimensionality. In this study, we propose a novel MCE-HEOM method, which…

Chemical Physics · Physics 2025-09-08 Zhecun Shi , Huiqiang Zhou , Lei Huang , Rixin Xie , Linjun Wang

We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases with respect to the configuration about…

Quantum Physics · Physics 2017-11-29 Yong Huangfu , Jun Jing

A Potts model and the Replica Exchange Wang-Landau algorithm are used to construct an energy landscape for a crystalline solid containing surfaces and grain boundaries. The energy landscape is applied to an equation of motion from the…

Materials Science · Physics 2023-03-22 Jared McDonald , Michael R. von Spakovsky , William T. Reynolds

The capability of hydrodynamics to accurately describe slow and long-wavelength fluctuations around non-equilibrium steady states (NESS), characterized by a stationary flow of energy or matter in the presence of a driving force, remains an…

Statistical Mechanics · Physics 2024-11-06 Daniel K. Brattan , Masataka Matsumoto , Matteo Baggioli , Andrea Amoretti

For a system strongly coupled to a heat bath, the quantum coherence of the system and the heat bath plays an important role in the system dynamics. This is particularly true in the case of non-Markovian noise. We rigorously investigate the…

Statistical Mechanics · Physics 2015-02-16 Yoshitaka Tanimura
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