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This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

Analysis of PDEs · Mathematics 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

We study bridging transitions between spherically and cylindrically shaped particles (colloids) of radius $R$ separated by a distance $H$ that are dissolved in a bulk fluid (solvent). Using macroscopics, microscopic density functional…

Soft Condensed Matter · Physics 2015-09-30 Alexandr Malijevský , Andrew O. Parry

The three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions…

Statistical Mechanics · Physics 2008-09-12 Gregoire Misguich , Vincent Pasquier , Fabien Alet

It is discussed how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be defined and classified for finite systems from the topology of the energy surface…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. Votyakov

Many physical systems, including classical fluids, present in their phase diagram the competition between two phases that are separated by a line of first-order phase transitions which terminates at a so-called critical point. Despite…

High Energy Physics - Theory · Physics 2025-04-29 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang , Matteo Baggioli

A new phase field crystal (PFC) type theory is presented, which accounts for the full spectrum of solid-liquid-vapor phase transitions within the framework of a single density order parameter. Its equilibrium properties show the most…

Materials Science · Physics 2015-06-23 Gabriel Kocher , Nikolas Provatas

We study the crossover between liquid and solid electron phases in a two-dimensional harmonic trap as the density is progressively diluted. We infer the formation of geometrically ordered phases from charge distributions and pair…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Carlo Cavazzoni , Guido Goldoni

We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction…

Soft Condensed Matter · Physics 2011-11-24 N. G. Almarza , J. M. Tavares , M. Simões , M. M. Telo da Gama

We present a high-resolution computer simulation study of the equation of state of ST2 water, evaluating the liquid-state properties at 2718 state points, and precisely locating the liquid-liquid critical point (LLCP) occurring in this…

Statistical Mechanics · Physics 2010-10-08 Peter H. Poole , Ivan Saika-Voivod , Francesco Sciortino

A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

Much attention has been devoted to water's metastable phase behavior, including polyamorphism (multiple amorphous solid phases), and the hypothesized liquid-liquid transition and associated critical point. However, the possible relationship…

Soft Condensed Matter · Physics 2021-06-09 Thomas E. Gartner , Salvatore Torquato , Roberto Car , Pablo G. Debenedetti

When an amorphous solid is deformed cyclically, it may reach a steady state in which the paths of constituent particles trace out closed loops that repeat in each driving cycle. A remarkable variant has been noticed in simulations where the…

Soft Condensed Matter · Physics 2021-08-26 Nathan C. Keim , Joseph D. Paulsen

It is well known that some liquids can demonstrate anomalous behavior. Interestingly, this be- havior can be qualitatively reproduced with simple core-softened isotropic pair-potential systems. Although anomalous properties of liquids…

Statistical Mechanics · Physics 2015-07-15 Eu. A. Gaiduk , Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok , V. V. Brazhkin

Light is shown to exhibit critical and tricritical behavior in passive mode-locked lasers with externally injected pulses. It is a first and unique example of critical phenomena in a one-dimensional many body light-mode system. The phase…

Statistical Mechanics · Physics 2009-11-11 Rafi Weill , Amir Rosen , Ariel Gordon , Omri Gat , Baruch Fischer

Hard spheres with an attraction of range a tenth to a hundredth of the sphere diameter are constrained to remain fluid even at densities when monodisperse particles at equilibrium would have crystallised, in order to compare with…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

I first sketch recent developments concerning the phase diagram of strongly interacting matter as a function of temperature and baryon density, obtained using a model for two-flavor QCD in which the interaction between quarks is modelled on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krishna Rajagopal

We study the phase diagram of glassy systems in presence of an attractive coupling among real replicas. We find competition among a localized and a delocalized phase, that are separated by a coexistence line as in ordinary first order phase…

Disordered Systems and Neural Networks · Physics 2015-06-25 Silvio Franz , Giorgio Parisi

We consider a system of spherical particles interacting by means of a pair potential equal to a finite constant for interparticle distances smaller than the sphere diameter and zero outside. The model may be a prototype for the interaction…

Statistical Mechanics · Physics 2009-10-31 C. N. Likos , M. Watzlawek , H. Loewen

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

We study the phase behavior of a classical system of particles interacting through a strictly convex soft-repulsive potential which, at variance with the pairwise softened repulsions considered so far in the literature, lacks a region of…

Soft Condensed Matter · Physics 2009-09-17 Franz Saija , Santi Prestipino , Gianpietro Malescio