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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

The work function is embedded in the equation describing the relationship between the constant volume and constant pressure heat capacities. The modification of the work function results that the relationship between these quantities must…

Chemical Physics · Physics 2007-05-23 Jozsef Garai

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

Simple application of the Einstein model combined with the elastic description of solid state is developed. The frequency of quantum oscillators has been assumed as volume dependent and, furthermore, elastic energy terms of static character…

Statistical Mechanics · Physics 2013-04-09 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

The structure of the rate of variation of the atomic energy for an arbitrary stationary motion of the atom in interaction with a quantum electromagnetic field is investigated. Our main purpose is to rewrite the formalism in Ref. \cite{zz}…

Quantum Physics · Physics 2016-12-14 Anwei Zhang

Understanding thermodynamics in liquids at the atomic level is challenging because of strong atomic interactions and lack of symmetry. Recent prior theoretical works have focused on describing heat capacity of liquids in terms of…

Disordered Systems and Neural Networks · Physics 2022-10-14 Jaeyun Moon , Simon Thébaud , Lucas Lindsay , Takeshi Egami

Realistic phenomena can be described more appropriately using generalized canonical ensemble, with proper parameter sets involved. We have generalized the Einstein's theory for specific heat of solid in Tsallis statistics, where the…

Statistical Mechanics · Physics 2017-12-29 Atanu Guha , Prasanta Kumar Das

Calculating liquid energy and heat capacity in general form is an open problem in condensed matter physics. We develop a recent approach to liquids from the solid state by accounting for the contribution of anharmonicity and thermal…

Statistical Mechanics · Physics 2015-03-19 Dima Bolmatov , Kostya Trachenko

The present work is a natural continuation of the previous paper arXiv:0911.5597. In this work, within the scope of the Generalized Uncertainty Principle, a model of the high energy deformation for a particular case of Einstein's equations…

High Energy Physics - Theory · Physics 2010-06-25 A. E. Shalyt-Margolin

In this article it will be introduced a new theorem, can be considered a generalization of Hellmann-Feynman theorem[1]. The latter used in conjunction with the quantization of the free energy[2] of a quantum system allows to derive…

Materials Science · Physics 2020-12-02 S. Selenu

This article demonstrates an undergraduate experiment for the determination of specific heat capacities of various solids based on a calorimetric approach, where the solid vaporizes a measurable mass of liquid nitrogen. We demonstrate our…

Physics Education · Physics 2015-05-28 Waqas Mahmood , Muhammad Sabieh Anwar , Wasif Zia

It is shown that the isobaric heat capacity of chalcogenides , , , and can be described by the Debye and Einstein models for the phonon frequency spectrum within their uncertainties; the models give the results for the isochoric heat…

Other Condensed Matter · Physics 2018-12-17 I. H. Umirzakov

We demonstrate that the presence of entanglement in macroscopic bodies (e.g. solids) in thermodynamical equilibrium could be revealed by measuring heat-capacity. The idea is that if the system were in a separable state, then for certain…

Quantum Physics · Physics 2008-08-14 Marcin Wiesniak , Vlatko Vedral , Caslav Brukner

We study the heat capacity of a static system of self-gravitating radiations analytically in the context of general relativity. To avoid the complexity due to a conical singularity at the center, we excise the central part and replace it…

General Relativity and Quantum Cosmology · Physics 2017-10-18 Hyeong-Chan Kim

We examine the English translation of Albert Einstein's groundbreaking 1925 paper on Bose-Einstein condensation. We guide readers to execute the calculations Einstein outlined for the specific heat above the condensation temperature,…

History and Philosophy of Physics · Physics 2026-05-06 Frank Wang

A simple model based on the canonical-ensemble theory is outlined for hot nuclei. The properties of the model are discussed with respect to the Fermi gas model and the breaking of Cooper pairs. The model describes well the experimental…

Nuclear Experiment · Physics 2009-11-07 M. Guttormsen , M. Hjorth-Jensen , E. Melby , J. Rekstad , A. Schiller , S. Siem

In equilibrium molecular dynamics, Einstein relation can be used to calculate the thermal conductivity. This method is equivalent to Green-Kubo relation and it does not require a derivation of an analytical form for the heat current.…

Chemical Physics · Physics 2016-08-14 Alper Kinaci , Justin B. Haskins , Tahir Çağın

We investigate various possible definitions of an effective temperature for a particularly simple nonequilibrium stationary system, namely a heated Brownian particle suspended in a fluid. The effective temperature based on the fluctuation…

Statistical Mechanics · Physics 2011-05-30 Laurent Joly , Samy Merabia , Jean-Louis Barrat

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

Statistical Mechanics · Physics 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

We study a quantum thermal engine model for which the heat transfer law is determined by Einstein's theory of radiation. The working substance of the quantum engine is assumed to be a two-level quantum systems of which the constituent…

Statistical Mechanics · Physics 2012-11-30 H. Yan , Hao Guo
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