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Can liquid-like and gas-like states be distinguished beyond the critical point, where the liquid-gas phase transition no longer exists and conventionally only a single supercritical fluid phase is defined? Recent experiments and simulations…

Statistical Mechanics · Physics 2024-04-30 Xinyang Li , Yuliang Jin

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical…

Statistical Mechanics · Physics 2020-07-01 I. V. Pylyuk , O. A. Dobush

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature ($T \geqslant T_\text{c}$) is elaborated using the renormalization group transformation in the collective variables…

Statistical Mechanics · Physics 2018-12-21 M. P. Kozlovskii , I. V. Pylyuk , O. A. Dobush

Many physical systems, including classical fluids, present in their phase diagram the competition between two phases that are separated by a line of first-order phase transitions which terminates at a so-called critical point. Despite…

High Energy Physics - Theory · Physics 2025-04-29 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang , Matteo Baggioli

A microscopic description is given for the behavior of the fluid system in an immediate vicinity of its critical point, where theoretical and experimental researches are difficult to carry out. For the temperatures $T<T_c$, the regions of…

Statistical Mechanics · Physics 2023-03-01 I. V. Pylyuk , M. P. Kozlovskii

In the supercritical fluid (SCF) region, at temperatures and pressures above the critical point, the thermodynamic singularity separating liquids and gases no longer exists. Recent arguments based on thermodynamics and critical scalings…

Statistical Mechanics · Physics 2026-01-23 Sha Jin , Xinyang Li , Xue Fan , Matteo Baggioli , Yuliang Jin

The behavior of fluids in the vicinity of the liquid-gas critical point is studied within the cell fluid model framework. The analytic method for deriving the equation of state of a cell fluid model in the low-temperature region (T<Tc) is…

Statistical Mechanics · Physics 2020-02-27 I. V. Pylyuk

A revised phase diagram for water shows three distinct fluid phases. There is no continuity of liquid and gas and no critical point on Gibbs density surface. A liquid state, water, spans all temperatures. A thermodynamic rigidity function,…

Statistical Mechanics · Physics 2013-08-22 Leslie V. Woodcock

An electronically coarse-grained model for water reveals a persistent vestige of the liquid-gas transition deep into the supercritical region. A crossover in the density dependence of the molecular dipole arises from the onset of…

Statistical Mechanics · Physics 2015-09-15 V. P. Sokhan , A. Jones , F. S. Cipcigan , J. Crain , G. J. Martyna

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

A hallmark of a thermodynamic phase transition is the qualitative change of system thermodynamic properties such as energy and heat capacity. On the other hand, no phase transition is thought to operate in the supercritical state of matter…

Statistical Mechanics · Physics 2020-04-13 L. Wang , C. Yang , M. T. Dove , V. V. Brazhkin , K. Trachenko

We use the linear sigma model coupled to quarks to explore the location of the phase transition lines in the QCD phase diagram from the point of view of chiral symmetry restoration at high temperature and baryon chemical potential. We…

High Energy Physics - Phenomenology · Physics 2020-03-18 Alejandro Ayala , Luis A. Hernandez , Marcelo Loewe , J. C. Rojas , Renato Zamora

Membranes containing a wide variety of ternary mixtures of high chain-melting temperature lipids, low chain-melting temperature lipids, and cholesterol undergo lateral phase separartion into coexisting liquid phases at a miscibility…

Supercritical fluids play a significant role in elucidating fundamental aspects of liquid matter under extreme conditions. They have been extensively studied at pressures and temperatures relevant to various industrial applications.…

Statistical Mechanics · Physics 2015-12-23 Dima Bolmatov , M. Zhernenkov , D. Zav'yalov , S. N. Tkachev , A. Cunsolo , Y. Q. Cai

We find a thermodynamic description of gas-liquid criticality that is different from van der Waals and mean-field theories. At the critical temperature there is no critical point; a liquid phase coexists with a vapor phase with densities…

Statistical Mechanics · Physics 2012-07-13 Leslie V. Woodcock

This article embraces a theoretical description of the first order phase transition in liquid metals with application of a cell fluid model. The results are obtained through calculation of the grand partition function without usage of…

Statistical Mechanics · Physics 2017-08-29 M. P. Kozlovskii , O. A. Dobush , I. V. Pylyuk

We investigate the analytical properties of the s-wave and p-wave holographic insulator/superconductor phase transitions at zero temperature. In the probe limit, we analytically calculate the critical chemical potentials at which the…

High Energy Physics - Theory · Physics 2011-06-30 Rong-Gen Cai , Huai-Fan Li , Hai-Qing Zhang

The ``no-slip'' boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary…

Soft Condensed Matter · Physics 2007-05-23 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng
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