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Since their discovery in 1822, supercritical fluids have been of enduring interest, and have started to be deployed in many important applications. Theoretical understanding of the supercritical state is lacking, and is seen to limit…

Chemical Physics · Physics 2013-08-19 Dima Bolmatov , V. V. Brazhkin , K. Trachenko

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

The state of matter above the critical point is terra incognita, and is loosely discussed as a physically homogeneous flowing state where no differences can be made between a liquid and a gas and where properties undergo no marked or…

Statistical Mechanics · Physics 2013-12-18 Dima Bolmatov , V. V. Brazhkin , Yu. D. Fomin , V. N. Ryzhov , K. Trachenko

A large and mostly unexplored part of the phase diagram lies above the critical point. The supercritical matter was traditionally believed to be physically homogeneous with no discernible differences between liquidlike and gaslike states.…

Soft Condensed Matter · Physics 2021-11-10 Cillian Cockrell , Vadim V. Brazhkin , Kostya Trachenko

Recent research suggests that the supercritical state consists of liquidlike and gaslike states where particle dynamics and key system properties are qualitatively different. We report experimental evidence of the structural crossover in…

Materials Science · Physics 2017-05-17 C. Prescher , Yu. D. Fomin , V. B. Prakapenka , J. Stefanski , K. Trachenko , V. V. Brazhkin

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

The Frenkel line, a crossover line between rigid and nonrigid dynamics of fluid particles, has recently been the subject of intense debate regarding its relevance as a partitioning line of supercritical phase, where the main criticism comes…

Statistical Mechanics · Physics 2018-08-02 Tae Jun Yoon , Min Young Ha , Won Bo Lee , Youn-Woo Lee

There have been ample studies of the many phases of H2O in both its solid and low pressure liquid states, and the transitions between them. Using molecular dynamics simulations we address the hitherto unexplored deeply supercritical…

Soft Condensed Matter · Physics 2020-09-02 Cillian Cockrell , Oliver Dicks , Vadim Brazhkin , Kostya Trachenko

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 develop an approach to liquid thermodynamics based on collective modes. We perform extensive molecular dynamics simulations of noble, molecular and metallic liquids and provide the direct evidence that liquid energy and specific heat are…

Soft Condensed Matter · Physics 2017-03-08 L. Wang , C. Yang , M. T. Dove , Yu. D. Fomin , V. V. Brazhkin , K. Trachenko

The dynamics of supercritical fluids, a state of matter beyond the gas-liquid critical point, changes from diffusive to oscillatory motions at high pressure. This transition is believed to occur across a locus of thermodynamic states called…

Statistical Mechanics · Physics 2018-10-16 Tae Jun Yoon , Min Young Ha , Emanuel A. Lazar , Won Bo Lee , Youn-Woo Lee

We study thermo-mechanical properties of matter at extreme conditions deep in the supercritical state, at temperatures exceeding the critical one up to four orders of magnitude. We calculate the Gr\"{u}neisen parameter {\gamma} and find…

Soft Condensed Matter · Physics 2017-07-10 L. Wang , M. T. Dove , K. Trachenko , Yu. D. Fomin , V. V. Brazhkin

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked…

Nuclear Theory · Physics 2009-10-31 J. Richert , P. Wagner , M. Henkel , J. M. Carmona

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Distinguishing different subphases in the supercritical region is a fundamental issue in statistical physics and condensed matter physics. Traditional approaches mainly rely on static thermodynamic response functions or equilibrium…

Statistical Mechanics · Physics 2026-04-16 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

Physics of supercritical state is understood to a much lesser degree compared to subcritical liquids. Carbon dioxide in particular has been intensely studied, yet little is known about the supercritical part of its phase diagram. Here, we…

We investigate superconducting systems with the use of the phenomenological Landau's theory of second order phase transitions, including into the considerations the critical behaviour of the chemical potential. We derive in this way a…

Superconductivity · Physics 2015-06-24 B. Grabiec , M. Matlak

In this letter, we provide fundamental insights into the dynamic transcritical transition process using molecular dynamics simulations. A transcritical region, which covers three different fluid states, was discovered as a substitute for…

Fluid Dynamics · Physics 2021-12-15 Bonan Xu , Yanqi Zhu , Hanhui Jin , Yu Guo , Jianren Fan

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu

Microcanonical statistics can be well applied to non-extensive systems like nuclei, atomic clusters and systems at phase transitions of first order with inhomogeneous configurations like phase separation. No thermodynamic limit has to be…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross
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