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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) 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 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…

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 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

A formal development of the hypoequilibrium (HE) state concept within the Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT) framework is presented, emphasizing its rigorous mathematical formulation. Using a general decomposition of the…

Quantum Physics · Physics 2026-05-27 Gian Paolo Beretta , Rohit Kishan Ray , Michael R. 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

The Replica Exchange Wang-Landau Method is used to estimate the energy landscape of a polymer composed of a simple hydrophobic and polar sequence using the HP protein model. Calculations of state transitions between the energy levels of the…

Soft Condensed Matter · Physics 2023-03-22 Jared McDonald , Michael R. von Spakovsky , William T. Reynolds

The steepest-entropy-ascent quantum thermodynamic (SEAQT) framework is utilized to study the effects of temperature on polymer brushes. The brushes are represented by a discrete energy spectrum and energy degeneracies obtained through the…

Soft Condensed Matter · Physics 2024-01-09 Jared McDonald , Michael R. von Spakovsky , William T. Reynolds

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

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

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

The decomposition kinetics of a solid-solution into separate phases are analyzed with an equation of motion initially developed to account for dissipative processes in quantum systems. This equation and the steepest-entropy-ascent quantum…

Statistical Mechanics · Physics 2019-05-22 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds,

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

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 review deals with a novel approach (MNEQT) to nonequilibrium thermodynamics (NEQT) that is based on the concept of internal equilibrium (IEQ) in an enlarged state space involving internal variables as additional state variables. The…

Statistical Mechanics · Physics 2021-12-15 P. D. Gujrati

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 current stage of quantum computing technology, called noisy intermediate-scale quantum (NISQ) technology, is characterized by large errors that prohibit it from being used for real applications. In these devices, decoherence, one of the…

The Steepest Entropy Ascent (SEA) ansatz, recently recognized as the fourth law of thermodynamics, governs the irreversible evolution of a system from a non-equilibrium state toward a unique maximum-entropy equilibrium. SEA builds upon the…

Quantum Physics · Physics 2025-08-21 Rohit Kishan Ray

The 2D toric code is a prototypical example that exhibits non-trivial topological properties and a ground state possessing a non-trivial topological order. Until now, all the cases studied in the literature have been in the stable…

Quantum Physics · Physics 2024-11-01 Cesar Damian , Adriana Saldana-Robles , Michael von Spakovsky
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