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A new approach to thermodynamics of simple fluids is presented. The partition function is first expressed in the reciprocal space, it is argued that the links (p,q) between 2 molecules can reasonably in the thermodynamical limit be…

General Physics · Physics 2020-03-03 Richard Bonneville

We characterize a system of hard spheres with a simple collision rule that breaks time reversal symmetry, but conserves energy. The collisions lead to an a-chiral, isotropic, and homogeneous stationary state, whose properties are determined…

Statistical Mechanics · Physics 2022-09-21 Niklas Grimm , Annette Zippelius , Matthias Fuchs

Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the last four decades, which is of great importance on both…

Numerical Analysis · Mathematics 2021-04-07 Wei Wang , Lei Zhang , Pingwen Zhang

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

We show that a number of model liquids at fixed volume exhibit strong correlations between equilibrium fluctuations of the configurational parts of (instantaneous) pressure and energy. We present detailed results for thirteen systems,…

Soft Condensed Matter · Physics 2009-11-13 Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Thomas B. Schrøder , Jeppe C. Dyre

Isomorphs are curves in the phase diagram along which a number of static and dynamic quantities are invariant in reduced units. A liquid has good isomorphs if and only if it is strongly correlating, i.e., the equilibrium virial/potential…

Soft Condensed Matter · Physics 2012-03-27 Trond S. Ingebrigtsen , Thomas B. Schrøder , Jeppe C. Dyre

An efficient description of the structures of liquids and, in particular, the structural changes that happen with liquids on supercooling remains to be a challenge. The systems composed of soft particles are especially interesting in this…

Soft Condensed Matter · Physics 2020-09-09 V. A. Levashov , R. E. Ryltsev , N. M. Chtchelkatchev

Of the three basic states of matter, liquid is perhaps the most complex. While its flow properties are described by fluid mechanics, its thermodynamic properties are often neglected, and for many years it was widely believed that a general…

Soft Condensed Matter · Physics 2023-08-31 K. Trachenko

Soft materials with a liquid component are an emerging paradigm in materials design. The incorporation of a liquid phase, such as water, liquid metals, or complex fluids, into solid materials imparts unique properties and characteristics…

Soft Condensed Matter · Physics 2021-06-18 Robert W. Style , Ravi Tutika , Jin Young Kim , Michael D. Bartlett

A system of identical particles interacting through an isotropic potential that allows for two preferred interparticle distances is numerically studied. When the parameters of the interaction potential are adequately chosen, the system…

Condensed Matter · Physics 2009-10-31 E. A. Jagla

Computer simulations recently revealed that several liquids exhibit strong correlations between virial and potential energy equilibrium fluctuations in the NVT ensemble [U. R. Pedersen {\it et al.}, Phys. Rev. Lett. {\bf 100}, 015701…

Soft Condensed Matter · Physics 2011-07-18 Thomas B. Schroder , Ulf R. Pedersen , Nicoletta Gnan , Jeppe C. Dyre

Normally, in mathematics and physics, only point particle systems, which are either finite or countable, are studied. We introduce new formal mathematical object called regular continuum system of point particles (with continuum number of…

Mathematical Physics · Physics 2016-12-30 V. N. Chubarikov , A. A. Lykov , V. A. Malyshev

The recently proposed definition of complexity for static and spherically symmetric self--gravitating systems [1], is extended to the fully dynamic situation. In this latter case we have to consider not only the complexity factor of the…

General Relativity and Quantum Cosmology · Physics 2018-12-19 L. Herrera , A. Di Prisco , J. Ospino

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

In this brief review I will discuss criticality in strongly correlated fluids. Unlike simple fluids, molecules of which interact through short ranged isotropic potential, particles of strongly correlated fluids usually interact through long…

Soft Condensed Matter · Physics 2009-11-07 Yan Levin

This paper is the fourth in a series devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids where virial and potential energy correlate better than 90% in their thermal equilibrium fluctuations…

Soft Condensed Matter · Physics 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

The hallmark of highly frustrated systems is the presence of many states close in energy to the ground state. Fluctuations between these states can preclude the emergence of any form of order and lead to the appearance of spin liquids. Even…

Strongly Correlated Electrons · Physics 2023-05-31 Han Yan , Owen Benton , Andriy H. Nevidomskyy , Roderich Moessner

Fluidity, the ability of liquids to flow, is the key property distinguishing liquids from solids. This fluidity is set by the mobile transit atoms moving from one quasi-equilibrium point to the next. The nature of this transit motion is…

Statistical Mechanics · Physics 2023-10-06 Cillian Cockrell , Oliver Dicks , Ilian T. Todorov , Alin M. Elena , Kostya Trachenko

In previous work the parameter of glassiness was introduced to distinguish between a liquid and a glass, using a formal analogy with the quantum Bose system. The glassiness is defined in such a way that it is unity in a frozen system and…

Statistical Mechanics · Physics 2009-11-13 Ziv Rader , Moshe Schwartz

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

Strongly Correlated Electrons · Physics 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman