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The first-order phase transition between the liquid and gaseous phases ends at a critical point. Critical opalescence occurs at this singularity. Discovered in 1822, it is known to be driven by diverging fluctuations in the density. During…

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

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

Within the inherent structure (IS) thermodynamic formalism introduced by Stillinger and Weber [F. H. Stillinger and T. A. Weber, Phys. Rev. A {\bf 25}, 978 (1982)] we address the basic question of the physics of the liquid-liquid transition…

Soft Condensed Matter · Physics 2016-08-31 Francesco Sciortino , Emilia La Nave , Piero Tartaglia

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

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

By combining accurate liquid-vapor coexistence and heat-capacity data, we have unambiguously separated two non-analytical contributions of liquid-gas asymmetry in fluid criticality and proved the validity of "complete scaling" [Fisher et…

Statistical Mechanics · Physics 2009-11-11 Mikhail A. Anisimov , Jingtao Wang

Application of "complete scaling" [Kim et al., Phys. Rev. E 67, 061506 (2003); Anisimov and Wang, Phys. Rev. Lett. 97, 25703 (2006)] to the interfacial behavior of fluids shows that Tolman's length, a curvature correction to the surface…

Statistical Mechanics · Physics 2007-05-23 M. A. Anisimov

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

A model combining Enskog's collision integral for dense fluids with a Vlasov-style description of the van der Waals force is applied to supercooling. First, the spinodal temperature $T_{s}$ is calculated, at which a liquid becomes unstable…

Statistical Mechanics · Physics 2026-05-29 E. S. Benilov

The Supercritical Fluid (SCF) is known to exhibit salient dynamic and thermodynamic crossovers and inhomogeneous molecular distribution. But the question as to what basic physics underlies these microscopic and macroscopic anomalies remains…

Soft Condensed Matter · Physics 2020-01-01 Min Young Ha , Tae Jun Yoon , Tsvi Tlusty , YongSeok Jho , Won Bo Lee

The liquid spinodal, which is the bedrock of water thermodynamics, has long been discussed alongside the elusive liquid-liquid critical point hidden behind the limit of homogeneous nucleation. This has inspired numerous scenarios that…

Chemical Physics · Physics 2020-05-06 Michal Duška

The heat capacity of supercooled water, measured down to -37 {\deg}C, shows an anomalous increase as temperature decreases. The thermal diffusivity, i. e., the ratio of the thermal conductivity and the heat capacity per unit volume, shows a…

Statistical Mechanics · Physics 2014-08-22 John W. Biddle , Vincent Holten , Jan V. Sengers , Mikhail A. Anisimov

Supercritical fluids (SCFs) have long been considered homogeneous and structureless, yet recent studies suggest the existence of transient, liquid-like clusters under dynamic processes. In this study, we provide experimental evidence of…

Soft Condensed Matter · Physics 2025-04-04 Juho Lee , Yeonguk Kim , Jong Dae Jang , Changwoo Do , Min Young Ha , Gunsu Yun

Pole-skipping offers compelling evidence for the hydrodynamic origin of chaotic behavior in strongly coupled quantum systems. We demonstrate that the cumulative effect of higher-order corrections to the hydrodynamic diffusive mode, captured…

High Energy Physics - Theory · Physics 2025-05-21 Hyun-Sik Jeong

Half a century ago, Ihor Yukhnovskii elaborated a method of studying the critical point of the three-dimensional Ising model based on a layer-by-layer integration in the space of collective variables. His method was an alternative to that…

Statistical Mechanics · Physics 2025-12-29 Yu. Kozitsky

A novel liquid-liquid phase transition has been proposed and investigated in a wide variety of pure substances recently, including water, silica and silicon. From computer simulations using the Stillinger-Weber classical empirical…

Statistical Mechanics · Physics 2015-05-27 Vishwas V Vasisht , Shibu Saw , Srikanth Sastry

Using the molecular dynamics simulations we investigate properties of velocity autocorrelation function of Lennard-Jones fluid at long and intermediate time scales in wide ranges of temperature and density. We show that the amplitudes of…

Soft Condensed Matter · Physics 2014-09-30 R. E. Ryltsev , N. M. Chtchelkatchev

Divergent carrier-density fluctuations equivalent to the critical opalescence of gas-liquid transitions emerge around a metal-insulator critical point at a finite temperature. In contrast to the gas-liquid transitions, however, the critical…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

Transition from laminar to turbulent flow drastically changes the mixing, transport, and drag properties of fluids, yet when and how turbulence emerges is elusive even for simple flow within pipes and rectangular channels. Unlike the onset…

Statistical Mechanics · Physics 2025-07-22 Masaki Sano , Keiichi Tamai
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