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The scaling function for the critical specific heat is obtained exactly for temperatures above the bulk transition temperature by working in the spherical limit. Generalization of the function to arbitrary $\alpha$ (the specific heat…

Condensed Matter · Physics 2009-10-31 Saugata Bhattacharyya , J. K. Bhattacharjee

A general identification of the {\em positional specific heat} as the thermodynamic response function associated with the {\em static relaxation length} is proposed, and a phenomenological description for the thermal dependence of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Davatolhagh

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Anomalous temperature dependence of heat capacity of glassy systems during a cooling-heating cycle has remained an ill-understood problem for a long time. Most of the features observed in the experimental measurement of the heat capacity of…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

The specific heat of the $x-y$ model is studied on cubic lattices of sizes $L \times L \times L$ and on lattices $L \times L \times H$ with $L \gg H$ (i.e. on lattices representing a film geometry) using the Cluster Monte Carlo method.…

Condensed Matter · Physics 2016-08-31 N. Schultka , E. Manousakis

The thermodynamic functions of a Fermi gas with spin population imbalance are studied in the temperature-asymmetry plane in the BCS limit. The low temperature domain is characterized by anomalous enhancement of the entropy and the specific…

Superconductivity · Physics 2009-11-06 Armen Sedrakian , Herbert Müther , Artur Polls

The specific heat of superfluid $^{3}$He, disordered by a silica aerogel, is found to have a sharp discontinuity marking the thermodynamic transition to superfluidity at a temperature reduced from that of bulk $^{3}$He. The magnitude of the…

Superconductivity · Physics 2007-05-23 H. Choi , K. Yawata , T. M. Haard , J. P. Davis , G. Gervais , N. Mulders , P. Sharma , J. A. Sauls , W. P. Halperin

Specific heat measurements constitute one of the most powerful experimental methods to probe fundamental excitations in solids. After the proposition of Einstein's model, more than one century ago (Annalen der Physik \textbf{22}, 180…

Materials Science · Physics 2016-02-25 Mariano de Souza , Ricardo Paupitz , Antonio Seridonio , Roberto E. Lagos

Experimental measurements of the specific heat in glass-forming systems reveal anomalies in the temperature dependence of the specific heat, including the so called "specific heat peak" in the vicinity of the glass transition. The aim of…

Statistical Mechanics · Physics 2009-11-13 H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia , Nurith Schupper

This work investigates how a conical singularity can affect the specific heat of systems. A free nonrelativistic particle confined to the lateral surface of a cone -- conical box -- is taken as a toy model. Its specific heat is determined…

General Relativity and Quantum Cosmology · Physics 2012-08-27 E. S. Moreira, , E. S. Oliveira

Frequency-dependence of specific heat in supercooled hard sphere liquid is computed using quantum mode-coupling theory (QMCT). Mode-coupling equations are solved using recently proposed perturbative method that allows to study relaxation in…

Statistical Mechanics · Physics 2025-01-14 Ankita Das , Eran Rabani , Kunimasa Miyazaki , Upendra Harbola

Specific heat of phonon cavities is investigated in order to analyse the effect of phonon confinement on thermodynamic properties. The specific heat of free standing very thin SiN membranes in the low dimensional limit is measured down to…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Adib Tavakoli , Kunal J. Lulla , Tuomas Puurtinen , Ilari Maasilta , Eddy Collin , Laurent Saminadayar , Olivier Bourgeois

Here we consider a one-dimensional $q$-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits an unusual behavior in the…

Statistical Mechanics · Physics 2021-06-09 Yury Panov , Onofre Rojas

The problem of measuring nontrivial static correlations in deeply supercooled liquids made recently some progress thanks to the introduction of amorphous boundary conditions, in which a set of free particles is subject to the effect of a…

Disordered Systems and Neural Networks · Physics 2015-06-11 G. Gradenigo , R. Trozzo , A. Cavagna , T. S. Grigera , P. Verrocchio

Recent experiments on cuprates show that as a function of doping, the normal-state specific heat sharply peaks at the doping $\delta^*$, where the pseudogap ends at low temperature. This finding is taken as the thermodynamic signature of a…

Strongly Correlated Electrons · Physics 2019-09-18 G. Sordi , C. Walsh , P. Sémon , A. -M. S. Tremblay

We present new simulation results for the specific heat in a classical model of a binary mixture glass-former in two dimensions. We show that in addition to the formerly observed specific heat peak there is a second peak at lower…

Materials Science · Physics 2009-11-13 H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

We investigate the equilibrium and off-equilibrium behaviors of systems at thermal first-order transitions (FOTs) when the boundary conditions favor one of the two phases. As a theoretical laboratory we consider the two-dimensional Potts…

High Energy Physics - Lattice · Physics 2018-10-24 Haralambos Panagopoulos , Andrea Pelissetto , Ettore Vicari

We report the details and revised analysis of an experiment to measure the specific heat of helium with subnanokelvin temperature resolution near the lambda point. The measurements were made at the vapor pressure spanning the region from 22…

Statistical Mechanics · Physics 2009-11-10 J. A. Lipa , J. A. Nissen , D. A. Stricker , D. R. Swanson , T. C. P. Chui

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

We investigate the scaling properties of the specific heat of the XY model on lattices H x H x L with L >> H (i.e. in a bar-like geometry) with respect to the thickness H of the bar, using the Cluster Monte Carlo method. We study the effect…

Statistical Mechanics · Physics 2007-05-23 Norbert Schultka , Efstratios Manousakis
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