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Coarse-grain Lagrangian methods, such as Dissipative Particle Dynamics ( Hoogerbrugge et al., EPL, 1992), are suitable for describing mesoscopic fluid systems that include thermal fluctuations. However, the realistic simulation of liquids…

Soft Condensed Matter · Physics 2026-03-13 Giuseppe Colella , Allan D. Mackie , James P. Larentzos , Fernando Bresme , Josep Bonet Avalos

This paper presents the first thermodynamic assessment of binary and pseudo-binary phase diagrams in the Ba--La--S and Ga--La--S systems by means of the CALPHAD method. Experimental phase diagram equilibrium data and thermodynamic…

Materials Science · Physics 2026-02-20 Jiayang Wang , Guangyu Hu , Pierre Lucas , Marat I. Latypov

As an aid to the development of hydrogen separation membranes, we predict the temperature dependent phase diagrams using first principles calculations combined with thermodynamic principles. Our method models the phase diagram without…

Materials Science · Physics 2014-08-07 William Paul Huhn , Michael Widom , Michael C. Gao

Based on the earlier obtained equations of state for the ternary systems H2O-CO2-CaCl2 and H2O-CO2-NaCl, an equation of state for the four-component fluid system H2O-CO2-NaCl-CaCl2 is derived in terms of the Gibbs excess free energy. A…

Chemical Physics · Physics 2022-09-22 Mikhail V. Ivanov

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

Fluid Dynamics · Physics 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

In this paper we investigate the solubility of a hard - sphere gas in a solvent modeled as an associating lattice gas (ALG). The solution phase diagram for solute at 5% is compared with the phase diagram of the original solute free model.…

Statistical Mechanics · Physics 2012-05-10 Marcia M. Szortyka , Maurício Girardi , Vera B. Henriques , Marcia C. Barbosa

We show that one can employ well-established numerical continuation methods to efficiently calculate the phase diagram for thermodynamic systems. In particular, this involves the determination of lines of phase coexistence related to first…

Soft Condensed Matter · Physics 2021-01-22 Max Philipp Holl , Andrew J. Archer , Uwe Thiele

We propose several linear, fully decoupled numerical schemes with first- and second-order temporal accuracy for a novel Q-tensor-based two-phase hydrodynamic model describing the coupling of active nematic liquid crystal solutions with…

Numerical Analysis · Mathematics 2026-05-26 Xuelong Gu , Guanghua Ji , Qi Wang

The thermodynamics of H/{\alpha}-Zr solid solution and zirconium hydride phases were studied using density functional theory. Disorder in {\zeta}, {\gamma} and {\delta} hydrides and solid solutions were modelled using a statistically…

Materials Science · Physics 2015-04-01 S. C. Lumley , R. W. Grimes , S. T. Murphy , P. A. Burr , A. Chroneos , P. R. Chard-Tucke , M. R. Wenman

From the Ising model and the Lennard-Jones fluid, to water and the iron-carbon system, phase diagrams are an indispensable tool to understand phase equilibria. In spite of the effort of the simulation community the calculation of a large…

Statistical Mechanics · Physics 2020-04-10 Pablo M. Piaggi , Michele Parrinello

We derive the thermodynamic Bethe ansatz equation for the situation inwhich the statistical interaction of a multi-particle system is governed by Haldane statistics. We formulate a macroscopical equivalence principle for such systems.…

High Energy Physics - Theory · Physics 2009-10-31 A. G. Bytsko , A. Fring

In this contribution we review a series of simple one dimensional lattice models that with an appropriate choice of parameters can account for various anomalous features of the behaviour of complex systems such as water. In particular, we…

Statistical Mechanics · Physics 2015-03-13 Enrique Lomba

We describe in detail a recently proposed lattice-Boltzmann model for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey non-ideal gas equations of…

comp-gas · Physics 2009-10-22 Xiaowen Shan , Hudong Chen

The recently developed Perturbed-Chain Statistical Associating Fluid Theory (PC-SAFT) is investigated for a wide range of model parameters including the parameter m representing the chain length and the thermodynamic temperature T and…

Soft Condensed Matter · Physics 2009-11-11 L. Yelash , M. Mueller , W. Paul , K. Binder

In supercooled liquids, at a temperature between the glass transition temperature Tg and the melting point Tm, thermodynamic properties remain continuous, while dynamic behavior exhibits anomalies. The origin of such thermodynamics-dynamic…

Soft Condensed Matter · Physics 2025-06-17 X. R. Tian , D. M. Zhang , B. Zhang , D. Y. Sun , X. G. Gong

A differential scanning calorimetric technique has been used to obtain solid-liquid equilibrium temperatures for the mixtures naphthalene or biphenyl + 1-tetradecanol, or + 1-hexadecanol. All the systems show a simple eutectic point, whose…

Soft condensed matter structures often challenge us with complex many-body phenomena governed by collective modes spanning wide spatial and temporal domains. In order to successfully tackle such problems mesoscopic coarse-grained (CG)…

Soft Condensed Matter · Physics 2023-07-12 Vlad P Sokhan , Michael A Seaton , Ilian T Todorov

We introduce a coupled Cahn-Hilliard Navier-Stokes model that governs the two-phase dynamics of a system that consists of a fluid and a solid phase and prove its thermodynamic consistency. Moreover, we present an associated fully-discrete…

Numerical Analysis · Mathematics 2026-01-15 Cedric Riethmüller , Lars von Wolff , Dominik Göddeke , Christian Rohde

A thermodynamic model of formation of multi-component solid solutions as a thermodynamic mixture of their binary components, is proposed. There are obtained expressions for the effective temperature of the equilibrium state of the solid…

Materials Science · Physics 2023-12-05 Sergei Naydenov , Igor Pritula

We compute the Bethe equations of generalized Hubbard models, and study their thermodynamical limit. We argue how they can be connected to the ones found in the context of AdS/CFT correspondence, in particular with the so-called dressing…

High Energy Physics - Theory · Physics 2011-04-25 V. Fomin , L. Frappat , E. Ragoucy
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