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Notwithstanding the long and distinguished history of studies of vibrational energy relaxation, exactly how it is that high frequency vibrations manage to relax in a liquid remains somewhat of a mystery. Both experimental and theoretical…

Chemical Physics · Physics 2009-10-31 Ross E. Larsen , Richard M. Stratt

Of the three basic states of matter, liquid is perhaps the most complex. While its flow properties are described by fluid mechanics, its thermodynamic properties are often neglected, and for many years it was widely believed that a general…

Soft Condensed Matter · Physics 2023-08-31 K. Trachenko

A thermodynamic argument is proposed in order to discuss the most appropriate form of the local energy balance equation within the Oberbeck-Boussinesq approximation. The study is devoted to establish the correct thermodynamic property to be…

Fluid Dynamics · Physics 2023-02-03 A. Barletta

Recently there have been significant theoretical advances in our understanding of liquids and dense supercritical fluids based on their ability to support high frequency transverse (shear) waves. Here, we have constructed a new computer…

Soft Condensed Matter · Physics 2020-10-14 John E. Proctor

Understanding thermal properties of materials is fundamental to technological applications and to discovering new phenomena. In particular, advances in experimental techniques such as cold-atom measurements allow the simulation of…

Strongly Correlated Electrons · Physics 2026-05-15 M. A. Habitzreuter , Willdauany C. de Freitas Silva , Eduardo O. Rizzatti , Thereza Paiva , Marcia C. Barbosa

The specific heat of liquid helium was calculated theoretically in the Landau theory. The results deviate from experimental data in the temperature region of 1.3 - 2.1 K. Many theorists subsequently improved the results of the Landau theory…

Other Condensed Matter · Physics 2009-11-13 Shosuke Sasaki

We apply a recently developed theory of the nonphononic vibrational density of states (DOS) in glasses to investigate the impact of local frozen-in stresses on the low-temperature specific heat. Using a completely harmonic description we…

Disordered Systems and Neural Networks · Physics 2025-09-08 Walter Schirmacher , Giancarlo Ruocco

Liquids realize a highly complex state of matter in which strong competing kinetic and interaction effects come to life. As such, liquids are more challenging to understand than either gases or solids generally. In weakly interacting gases,…

Soft Condensed Matter · Physics 2022-06-29 Jing Xue , Flavio S. Nogueira , K. F. Kelton , Zohar Nussinov

The vibrational entropy of a solid at finite temperature is investigated from the perspective of information theory. Ab initio molecular dynamics (AIMD) simulations generate ensembles of atomic configurations at finite temperature from…

Statistical Mechanics · Physics 2022-05-11 Yang Huang , Michael Widom

We present the detailed study of the thermodynamics of vibrational modes in disordered elastic systems such as the Bragg glass phase of lattices pinned by quenched impurities. Our study and our results are valid within the (mean field)…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Thierry Giamarchi , Pierre Le Doussal

For a thermodynamic system obeying both the equipartition theorem in high temperature and the third law in low temperature, the curve showing relationship between the specific heat and the temperature has two common behaviors:\ it…

Statistical Mechanics · Physics 2020-05-05 X. Y. Zhou , Z. Q. Yang , X. R. Tang , X. Wang , Q. H. Liu

Experimental data on the viscosity and self-diffusion coefficient of two metallic compounds in their fluid phases, i.e. potassium and thallium, are modeled using the translational elastic mode theory which has been successfully applied to…

Statistical Mechanics · Physics 2022-01-21 F. Aitken , F. Volino

Controversy exists regarding the possible existence of a transition between the liquid and glassy states of water. Here we use experimental measurements of the entropy, specific heat, and enthalpy of both liquid and glassy water to…

Condensed Matter · Physics 2007-05-23 Francis W. Starr , C. Austen Angell , Robin J. Speedy , H. Eugene Stanley

The dynamic structure factor and the eigenmodes of density fluctuations in the uniform liquid $^3$He are studied using a novel non-perturbative approach. This new version of the self-consistent method of moments invokes up to nine sum rules…

Computational Physics · Physics 2023-11-10 A. V. Filinov , J. Ara , I. M. Tkachenko

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

Analysis of PDEs · Mathematics 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

Tetrahedral liquids such as water and silica-melt show unusual thermodynamic behavior such as a density maximum and an increase in specific-heat when cooled to low temperatures. There is a debate in the literature whether these phenomena…

Statistical Mechanics · Physics 2011-08-10 Itamar Procaccia , Ido Regev

The heat capacity of solids at intermediate-to-high temperatures is of fundamental importance to several fields ranging from geology to material science. It depends on a variety of factors, with anharmonicity and, ultimately, melting…

Materials Science · Physics 2025-08-22 Valmir Ribeiro , Fernando Parisio

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

Statistical Mechanics · Physics 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

Disordered systems show deviations from the standard Debye theory of specific heat at low temperatures. These deviations are often attributed to two-level systems of uncertain origin. We find that a source of excess specific heat comes from…

Statistical Mechanics · Physics 2015-06-17 Ralph V. Chamberlin , Bryce F. Davis

The theoretical model proposed by Einstein to describe the phononic specific heat of solids as a function of temperature consists the very first application of the concept of energy quantization to describe the physical properties of a real…

Statistical Mechanics · Physics 2016-03-23 E. Boscheto , M. de Souza , A. López-Castillo