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We present analytical results for the time-dependent information entropy in exactly solvable two-state (qubit) models. The first model describes dephasing (decoherence) in a qubit coupled to a bath of harmonic oscillators. The entropy…

Quantum Physics · Physics 2012-12-27 V. G. Morozov , G. Röpke

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

Statistical Mechanics · Physics 2020-08-28 Philipp Strasberg

Spectroscopy is a fundamental tool in science which consists in studying the response of a system as a function of frequency. Among its many applications in Physics, Biology, Chemistry and other fields, the possibility of identifying…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Theo Torres , Sam Patrick , Maurício Richartz , Silke Weinfurtner

We explore the entropy spectrum of $(1+1)$ dimensional dilatonic stringy black holes via the adiabatic invariant integral method and the Bohr-Sommerfeld quantization rule. It is found that the corresponding spectrum depends on black hole…

General Relativity and Quantum Cosmology · Physics 2015-05-26 Jishnu Suresh , V. C. Kuriakose

In this note we lay some groundwork for the resource theory of thermodynamics in general probabilistic theories (GPTs). We consider theories satisfying a purely convex abstraction of the spectral decomposition of density matrices: that…

Quantum Physics · Physics 2015-11-06 Howard Barnum , Jonathan Barrett , Marius Krumm , Markus P. Müller

Entropy and temperature of a system in a coherent state are naturally defined on a base of a density matrix of the system. As an example, entropy and temperature are evaluated for coherent states of a harmonic oscillator and quantum field…

Quantum Physics · Physics 2007-05-23 A. G. Bashkirov , A. D. Sukhanov

A unified formulation of the density functional theory is constructed on the foundations of entropic inference in both the classical and the quantum regimes. The theory is introduced as an application of entropic inference for inhomogeneous…

Statistical Mechanics · Physics 2021-12-20 Ahmad Yousefi

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

Soft Condensed Matter · Physics 2024-09-26 Francesco Romanò , Michael Riedl

This paper deals with the thermodynamic properties of a phantom field in a flat Friedmann-Robertson-Walker universe. General expressions for the temperature and entropy of a general dark-energy field with equation of state $p=\omega\rho$…

Astrophysics · Physics 2008-11-26 Pedro F. Gonzalez-Diaz , Carmen L. Siguenza

Chater and MacKay [CM] derived an entropy function of state for exchange economies satisfying a list of axioms, and showed that a change of state of a system of such economies is possible if and only if their total entropy does not…

Mathematical Physics · Physics 2025-10-03 Robert S MacKay

It is observed that the entropy reduction (the information gain in the initial terminology) of an efficient (ideal or pure) quantum measurement coincides with the generalized quantum mutual information of a q-c channel mapping an a priori…

Quantum Physics · Physics 2015-05-20 M. E. Shirokov

A unified view on macroscopic thermodynamics and quantum transport is presented. Thermodynamic processes with an exchange of energy between two systems necessarily involve the flow of other balanceable quantities. These flows are first…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 C. Strunk

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

Statistical Mechanics · Physics 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

Entropy production along a single stochastic trajectory of a biomolecule is discussed for two different sources of non-equilibrium. For a molecule manipulated mechanically by an AFM or an optical tweezer, entropy production (or…

Statistical Mechanics · Physics 2007-06-20 Tim Schmiedl , Thomas Speck , Udo Seifert

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

We calculate the intrinsic entropy of a Schwarzschild black hole in an asymptotically antide Sitter space. The statistical calculation of the entropy is based on a model for particle structure that leads to confinement. The constituents of…

General Relativity and Quantum Cosmology · Physics 2019-07-15 Moorad Alexanian

The nonequilibrium thermodynamics feature of a Brownian motor operating between two different heat baths is explored as a function of time $t$. Using the Gibbs entropy and Schnakenberg microscopic stochastic approach, we find exact closed…

Statistical Mechanics · Physics 2015-07-08 Mesfin Asfaw Taye

Using information entropy formalism, we consider a one-dimensional system with heat flux and extend the meaning of equilibrium variables to non equilibrium scenarios when classical local equilibrium approach is not applicable; this is…

Statistical Mechanics · Physics 2019-09-10 Sergey Sobolev

We define a (mean curvature flow) entropy for Radon measures in $\mathbb{R}^n$ or in a compact manifold. Moreover, we prove a monotonicity formula of the entropy of the measures associated with the parabolic Allen-Cahn equations. If the…

Differential Geometry · Mathematics 2021-02-10 Ao Sun

The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the…

Statistical Mechanics · Physics 2018-08-24 Kunimasa Miyazaki , Yohei Nakayama , Hiromichi Matsuyama
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