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Linearly-sloped or `ramp' potentials belong to a class of core-softened models which possess a liquid-liquid critical point (LLCP) in addition to the usual liquid-gas critical point. Furthermore they exhibit thermodynamic anomalies in the…

Statistical Mechanics · Physics 2009-11-11 Helen M. Gibson , Nigel B. Wilding

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

We investigate, through Monte-Carlo simulations, the nature of the second order point in a $Z_2$ (Bosonic) + $Z_2$ gauge theory in four dimensions. Detailed analysis of the critical exponents point to the Ising universality class. Relevancy…

High Energy Physics - Lattice · Physics 2009-10-31 Y. Blum , P. K. Coyle , S. Elitzur , E. Rabinovici , S. Solomon , H. Rubinstein

We use a hybrid method of lattice Boltzmann and finite differences to simulate flat and curved interfaces between the nematic and isotropic phases of a liquid crystal described by the Landau-de Gennes theory. For the flat interface, we…

Soft Condensed Matter · Physics 2021-02-25 Rodrigo C. V. Coelho , Nuno A. M. Araújo , Margarida M. Telo da Gama

A fluid particle changes its dynamics from diffusive to oscillatory as the system density increases up to the melting density. Hence, the notion of the Frenkel line was introduced to demarcate the fluid region into rigid and nonrigid liquid…

Soft Condensed Matter · Physics 2019-05-15 Tae Jun Yoon , Emanuel A. Lazar , Min Young Ha , Won Bo Lee , Youn-Woo Lee

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

The physical analysis of generic phase coexistence in the North-East-Center Toom model was originally given by Bennett and Grinstein. The gist of their argument relies on the dynamics of interfaces and droplets. We revisit the same question…

Statistical Mechanics · Physics 2017-08-01 Claude Godrèche , Jean-Marc Luck

Exact mechanisms of thermal conductivity in liquids are not well understood, despite rich research history. A vibrational model of energy transfer in dense simple liquids with soft pairwise interactions seems adequate to partially fill this…

Soft Condensed Matter · Physics 2024-02-06 S. A. Khrapak , A. G. Khrapak

The spin-3/2 Ising model, with nearest-neighbor interactions only, is the prototypical system with two different ordering species, with concentrations regulated by a chemical potential. Its global phase diagram, obtained in d=3 by…

Statistical Mechanics · Physics 2016-07-04 Cagin Yunus , Basak Renklioglu , Mustafa Keskin , A. Nihat Berker

Liquid polyamorphism is the intriguing possibility for a single component substance to exist in multiple liquid phases. We propose a minimal model for this phenomenon. Starting with a binary lattice model with critical azeotropy and…

Statistical Mechanics · Physics 2023-09-19 Frédéric Caupin , Mikhaïl A. Anisimov

Using numerical results obtained within two models describing vortex matter (interacting elastic lines (Bose model) and uniformly frustrated XY-model) we establish universal properties of the melting transition within the linelike regime.…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , H. Nordborg

The effects of size and charge asymmetry on the gas-liquid critical parameters of a primitive model (PM) of ionic fluids are studied within the framework of the statistical field theory based on the collective variables method. Recently,…

Statistical Mechanics · Physics 2013-05-29 O. V. Patsahan , T. M. Patsahan

We investigate the critical behavior of the Kinetic Ising model with non-reciprocal nearest neighbors interactions. A finite-size scaling study suggests that the model belongs to the Ising universality class. We characterize the…

Statistical Mechanics · Physics 2024-08-22 Luca Di Carlo

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

Statistical Mechanics · Physics 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke

Grand canonical simulations designed to resolve critical universality classes are reported for $z$:1 hard-core electrolyte models with diameter ratios $\lambda {=} a_+/a_- {\lesssim} 6$. For $z {=} 1$ Ising-type behavior prevails. Unbiased…

Soft Condensed Matter · Physics 2016-08-31 Young C. Kim , Michael E. Fisher , A. Z. Panagiotouplos

Critical behavior developed near a quantum phase transition, interesting in its own right, offers exciting opportunities to explore the universality of strongly-correlated systems near the ground state. Cold atoms in optical lattices, in…

Quantum Gases · Physics 2011-04-21 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Nathan Gemelke , Cheng Chin

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures…

Soft Condensed Matter · Physics 2016-08-31 M. Mercedes Calbi , Silvina M. Gatica , Mary J. Bojan , Milton W. Cole

Via a combination of molecular dynamics (MD) simulations and finite-size scaling (FSS) analysis, we study dynamic critical phenomena for the vapor-liquid transition in a three dimensional Lennard-Jones system. The phase behavior of the…

Statistical Mechanics · Physics 2017-08-18 Jiarul Midya , Subir K. Das

The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is…

Analysis of PDEs · Mathematics 2024-08-21 Xianpeng Hu , Hao Wu

We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability…

Dynamical Systems · Mathematics 2024-07-23 René Rühr
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