STATISTIC MECHANICS FOR LINEAR DEFECT-MEDIATED MELTING

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2640-2644
Author(s):  
KEJIA LIU ◽  
HUIFEN CHEN
Keyword(s):  
Phase Transition ◽  
Shear Modulus ◽  
Statistical Mechanics ◽  
Melting Temperature ◽  
Latent Heat ◽  
Linear Defect ◽  
First Order ◽  
Linear Defects ◽  
Dislocation Pair ◽  
Lattice Statistical Mechanics

The melting of elemental solids is modelled as a dislocation pair-mediated transition on a lattice. Statistical mechanics of linear defects is used to obtain the relation between melting temperature and shear modulus. It is derived theoretically that the phase transition is the first order and the formula for latent heat is also derived.

The Pressure of CO2 Crystal Melting Temperature Dependence

2014 ◽  
Vol 887-888 ◽  
pp. 935-938
Author(s):  
Shuai Zhang ◽  
Lei Chen ◽  
Zhi Shuai Wu ◽  
Shang Wu Hou
Keyword(s):  
Phase Transition ◽  
Temperature Dependence ◽  
Melting Temperature ◽  
Order Phase Transition ◽  
Melting Curve ◽  
Clapeyron Equation ◽  
First Order ◽  
First Order Phase Transition ◽  
Crystal Melting ◽  
First Order Phase

This paper is based on the CO2crystal as an example, through the two reasonable simplification ΔH(T,P) ΔH(T) and ΔV(T,P) ΔV(P) into the Clapeyron equation to calculate the melting curve. Because the Clapeyron equation can describe all the first-order phase transition, accordingly it is determining the material T-P diagram provides a new way.

ON THE STRUCTURE OF SUPERCRITICAL PHASE TRANSITION

1990 ◽  
Vol 05 (14) ◽  
pp. 1081-1087 ◽  
Author(s):  
YUMI S. HIRATA ◽  
HISAKAZU MINAKATA
Keyword(s):  
Phase Transition ◽  
Statistical Mechanics ◽  
Order Phase Transition ◽  
False Vacuum ◽  
Close Analogy ◽  
First Order ◽  
First Order Phase Transition ◽  
Supercritical Phase ◽  
First Order Phase ◽  
Irreversible Nature

A novel physical picture is presented for the normal-to-supercritical "phase" transition in QED around a large-Z nucleus. The process is described as the decay of the false vacuum in close analogy to the first-order phase transition in statistical mechanics. The irreversible nature of the transition is pointed out and the physical implications of this picture are discussed.

scholarly journals Latent heat at the first order phase transition point of SU(3) gauge theory

2016 ◽  
Vol 94 (1) ◽  
Author(s):  
Mizuki Shirogane ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
...  
Keyword(s):  
Phase Transition ◽  
Gauge Theory ◽  
Latent Heat ◽  
Order Phase Transition ◽  
Transition Point ◽  
Phase Transition Point ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

scholarly journals Dark confinement-deconfinement phase transition: a roadmap from Polyakov loop models to gravitational waves

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Zhaofeng Kang ◽  
Jiang Zhu ◽  
Shinya Matsuzaki
Keyword(s):  
Phase Transition ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Latent Heat ◽  
Polyakov Loop ◽  
Thermodynamic Quantities ◽  
Point Interactions ◽  
Yang Mills ◽  
First Order ◽  
Deconfinement Phase Transition

Abstract We explore the confinement-deconfinement phase transition (PT) of the first order (FO) arising in SU(N) pure Yang-Mills theory, based on Polyakov loop models (PLMs), in light of the induced gravitational wave (GW) spectra. We demonstrate that the PLMs with the Haar measure term, involving models successful in QCD with N = 3, are potentially incompatible with the large N scaling for the thermodynamic quantities and the latent heat at around the criticality of the FOPT reported from the lattice simulations. We then propose a couple of models of polynomial form, which we call the 4-6 PLM (with four- and six-point interactions among the basic PL fields which have center charge 1) and 4-8 PLM (with four- and eight-point interactions), and discuss how such models can naturally arise in the presence of a heavy PL with charge 2. We show that those models give the consistent thermodynamic and large N properties at around the criticality. The predicted GW spectra are shown to have high enough sensitivity to be probed in the future prospected interferometers such as BBO and DECIGO.

scholarly journals Latent heat and pressure gap at the first order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method

2020 ◽  
Author(s):  
Mizuki Shirogane ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
...  
Keyword(s):  
Phase Transition ◽  
Energy Density ◽  
Latent Heat ◽  
Flow Time ◽  
Yang Mills ◽  
First Order ◽  
Pressure Gap ◽  
Small Flow ◽  
Time Expansion ◽  
The Continuum

Abstract We study latent heat and pressure gap between the hot and cold phases at the first order deconfining phase transition temperature of the SU(3) Yang-Mills theory. Performing simulations on lattices with various spatial volumes and lattice spacings, we calculate the gaps of the energy density and pressure using the small flow time expansion (SFtX) method. We find that the latent heat Δ ε in the continuum limit is Δ ε /T4 = 1.117 ± 0.040 for the aspect ratio Ns/Nt = 8 and 1.349 ± 0.038 for Ns/Nt = 6 at the transition temperature T = T c. We also confirm that the pressure gap is consistent with zero, as expected from the dynamical balance of two phases at Tc. From hysteresis curves of the energy density near Tc, we show that the energy density in the (metastable) deconfined phase is sensitive to the spatial volume, while that in the confined phase is insensitive. Furthermore, we examine the effect of alternative procedures in the SFtX method — the order of the continuum and the vanishing flow time extrapolations, and also the renormalization scale and higher order corrections in the matching coefficients. We confirm that the final results are all well consistent with each other for these alternatives.

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