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Related papers: Entropy of Liquids and Glasses from Recurring Stru…

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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

Entropy scaling is a powerful technique that has been used for predicting transport properties of pure components over a wide range of states. However, modeling mixture diffusion coefficients by entropy scaling is an unresolved task. We…

Chemical Physics · Physics 2026-04-03 Sebastian Schmitt , Hans Hasse , Simon Stephan

We build a comprehensive methodology for the fast computation of entropy across both solid and liquid phases. The proposed method utilizes a single trajectory of molecular dynamics (MD) to facilitate the calculation of entropy, which is…

Computational Physics · Physics 2024-04-05 Qi-Jun Hong , Zi-Kui Liu

Entropy increase is fundamentally related to the breaking of time-reversal symmetry. By adding the 'extra dimension' associated with thermodynamic forces, we extend that discrete symmetry to a continuous symmetry for the dynamical…

Statistical Mechanics · Physics 2025-04-28 Aaron Beyen , Christian Maes

We formulate a stochastic description of entropy production in scattering theory for coherent transport. We distinguish between the information entropy change due to partial knowledge of the leads' state and the thermodynamic entropy change…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Ludovico Tesser , Henning Kirchberg , Matteo Acciai , Janine Splettstoesser

We utilize the lattice cluster theory (LCT) of polymer fluids to show that the configurational entropy, enthalpy, and internal energy are all closely interrelated, as suggested by recent measurements by Caruthers and Medvedev, so that the…

Soft Condensed Matter · Physics 2023-01-11 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

In this article, we revisit random site and bond percolation in square lattice focusing primarily on the behavior of entropy and order parameter. In the case of traditional site percolation, we find that both the quantities are zero at…

Statistical Mechanics · Physics 2019-12-10 M. S. Rahman , M. K. Hassan

Entropy stable methods have become increasingly popular in the field of computational fluid dynamics. They often work by satisfying some form of a discrete entropy inequality: a discrete form of the 2nd law of thermodynamics. Schemes which…

Numerical Analysis · Mathematics 2025-09-08 Brian Christner , Jesse Chan

The atomistic mechanisms occurring during the processes of aging and rejuvenation in glassy materials involve very small structural rearrangements that are extremely difficult to capture experimentally. Here we use in-situ X-ray diffraction…

Through the consideration of spherically symmetric gravitating systems consisting of perfect fluids with linear equation of state constrained to be in a finite volume, an account is given of the properties of entropy at conditions in which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Pesci

We propose a geometrical characterization of amorphous liquid structures that suppress crystallization by competing locally with crystalline order. We introduce for this purpose the crystal affinity of a liquid, a simple measure of its…

Soft Condensed Matter · Physics 2017-10-11 Pierre Ronceray , Peter Harrowell

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

The aim of this work is to analyze the entropy, entropy flux and entropy supply rate of granular fluids within the frameworks of the Boltzmann equation and continuum thermodynamics. It is shown that the entropy inequality for a granular gas…

Statistical Mechanics · Physics 2010-11-17 Gilberto M. Kremer

The correlation between local structure and the propensity for structural rearrangements has been widely investigated in glass forming liquids and glasses. In this paper we use the excess two-body entropy $S_2$ and tetrahedrality $\n_{tet}$…

Statistical Mechanics · Physics 2022-03-14 Saheli Mitra , Susana Marin-Aguilar , Srikanth Sastry , Frank Smallenburg , Giuseppe Foffi

The entropy production is one of the most essential features for systems operating out of equilibrium. The formulation for discrete-state systems goes back to the celebrated Schnakenberg's work and hitherto can be carried out when for each…

Statistical Mechanics · Physics 2020-04-15 D. M. Busiello , D. Gupta , A. Maritan

The aim of this paper is to discuss some basic notions regarding generic glass forming systems composed of particles interacting via soft potentials. Excluding explicitly hard-core interaction we discuss the so called `glass transition' in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jean-Pierre Eckmann , Itamar Procaccia

We calculate the configurational entropy of hard particles confined in a cavity using Monte Carlo integration. Multiple combinations of particle and cavity shapes are considered. For small numbers of particles $N$, we show that the entropy…

Soft Condensed Matter · Physics 2018-04-26 Duanduan Wan , Sharon C. Glotzer

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

This paper studies the diffusion approximation, non-equilibrium model of radiation hydrodynamics derived by Buet and Despr\'es (J. Quant. Spectrosc. Radiat. Transf. 85 (2004), no. 3-4, 385-418). The latter describes a non-relativistic…

Analysis of PDEs · Mathematics 2025-10-30 Corrado Lattanzio , Ramón G. Plaza , José Manuel Valdovinos