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We evaluate the thermodynamic curvature $R$ for fluid argon, hydrogen, carbon dioxide, and water. For these fluids, $R$ is mostly negative, but we also find significant regimes of positive $R$, which we interpret as indicating solid-like…

Statistical Mechanics · Physics 2014-11-12 George Ruppeiner , Peter Mausbach , Helge-Otmar May

The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of…

Statistical Mechanics · Physics 2008-11-26 R. D. Rohrmann , J. Zorec

A number of simple pair interaction potentials of the carbon dioxide molecule are investigated and found to underestimate the magnitude of the second virial coefficient in the temperature interval 220 K to 448 K by up to 20%. Also the third…

Materials Science · Physics 2012-12-21 Rasmus A. X. Persson

This work tests the statistical mechanical theory of hydrophobic interactions, isolates consequences of excluded volume interactions, and obtains B2 for those purposes. Cavity methods that are particularly appropriate for study of…

Biological Physics · Physics 2013-03-27 M. I. Chaudhari , S. Holleran , H. S. Ashbaugh , L. R. Pratt

The square-well fluid with hard-sphere diameters is studied within the framework of Thermodynamic Geometry (TG). Coexistence and spinodal curves, as well as the Widom line for ranges $\lambda^{*} = 1.25, 1.5, 2.0, 3.0$ for this fluid are…

Statistical Mechanics · Physics 2022-07-19 J. L. López-Picón , L. F. Escamilla-Herrera , J. Torres-Arenas

Singularities in the thermodynamics of Kerr-Newman black holes are commonly associated with phase transitions. However, such interpretations are complicated by a lack of stability and, more significantly, by a lack of conclusive insight…

General Relativity and Quantum Cosmology · Physics 2008-11-26 George Ruppeiner

Microscopic models of realistic thermodynamic systems usually involve a number of parameters, not all of equal macroscopic relevance. We examine a decorated $(1+3)$ Ising spin chain containing two microscopic parameters: a "stiff" $K$…

Statistical Mechanics · Physics 2015-06-22 George Ruppeiner , Stefano Bellucci

Bending rigidities of tensionless balanced liquid-liquid interfaces as occurring in microemulsions are predicted using self-consistent field theory for molecularly inhomogeneous systems. Considering geometries with scale invariant curvature…

Soft Condensed Matter · Physics 2018-10-05 Ramanathan Varadharajan , Frans. A. M. Leermakers

Using Monte Carlo simulations a lattice gas model with only repulsive interactions was checked for the presence of anomalies. We show that this system exhibits the density (temperature of maximum density - TMD) and diffusion anomalies as…

Statistical Mechanics · Physics 2016-11-25 Andressa A. Bertolazzo , Marcia C. Barbosa

The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes in D-dimensional space times. Convexity of thermodynamic potentials and the analytic structure of the response functions is analysed. The…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Brian P. Dolan

On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are…

Statistical Mechanics · Physics 2015-12-29 Yu. M. Poluektov , A. A. Soroka , S. N. Shulga

We have identified the ground state configurations of soft particles (interacting via inverse power potentials) confined between two hard, impenetrable walls. To this end we have used a highly reliable optimization scheme at {\it vanishing}…

Soft Condensed Matter · Physics 2015-06-18 Moritz Antlanger , Günther Doppelbauer , Martial Mazars , Gerhard Kahl

We study a cell fluid model of a many-particle system with Curie-Weiss-type interaction potential. It is considered as an open system in a fixed volume partitioned into a large number of congruent cubic cells. The interaction potential…

Statistical Mechanics · Physics 2025-11-24 M. P. Kozlovskii , O. A. Dobush , R. V. Romanik , I. V. Pylyuk , M. A. Shpot

In this paper we derive an equation of state for liquid cesium based on a suggested potential function in accord to the characteristics large attraction and soft repulsion at the asymptotes of interaction potentials. By considering the…

Chemical Physics · Physics 2007-05-23 M. H. Ghatee , M. Bahadori

A simple model of dimerizing hard spheres with highly nontrivial fluid-solid phase behaviour is proposed. The model is studied using the recently proposed resummed thermodynamic perturbation theory for central force (RTPT-CF) associating…

Soft Condensed Matter · Physics 2016-07-26 Yurij V. Kalyuzhnyi , Peter T. Cummings

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

Liquid water has anomalous liquid properties, such as its density maximum at 4\degree C. An attempt at theoretical explanation proposes a liquid-liquid phase transition line in the supercooled liquid state, with coexisting low-density (LDL)…

Soft Condensed Matter · Physics 2019-09-04 Peter Mausbach , Helge-Otmar May , George Ruppeiner

We report the effect of including repulsive interactions on various thermodynamic observables calculated using a S-matrix based Hadron Resonance Gas (HRG) model to already available corresponding results with only attractive interactions…

High Energy Physics - Phenomenology · Physics 2019-04-30 Ashutosh Dash , Subhasis Samanta , Bedangadas Mohanty

We study the thermodynamics of soft wall model in AdS/QCD framework. The low temperature phase of QCD is described by thermal AdS and high temperature phase by AdS Black hole solution of five dimensional gravity with negative cosmological…

High Energy Physics - Theory · Physics 2012-08-31 Shobhit Sachan , Sanjay Siwach

We numerically study crystal nucleation and glassy slow dynamics of the one-component Gaussian core model (GCM) at high densities. The nucleation rate at a fixed supersaturation is found to decrease as the density increases. At very high…

Soft Condensed Matter · Physics 2015-05-28 Atsushi Ikeda , Kunimasa Miyazaki