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Related papers: Phase separation in disordered exclusion models

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The influence of immobile filler particles (spheres, fibers, platelets) on polymer blend phase separation is investigated computationally using a generalization of the Cahn-Hilliard-Cook (CHC) model. Simulation shows that the selective…

Statistical Mechanics · Physics 2007-05-23 Benjamin P. Lee , Jack F. Douglas , Sharon C. Glotzer

We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the…

Probability · Mathematics 2008-07-26 Erwin Bolthausen , Francesco Caravenna , Béatrice de Tilière

Phase segregation, the process by which the components of a binary mixture spontaneously separate, is a key process in the evolution and design of many chemical, mechanical, and biological systems. In this work, we present a data-driven…

Machine Learning · Computer Science 2018-03-28 Amir Barati Farimani , Joseph Gomes , Rishi Sharma , Franklin L. Lee , Vijay S. Pande

The critical behavior of the contact process in disordered and periodic binary 2d-lattices is investigated numerically by means of Monte Carlo simulations as well as via an analytical approximation and standard mean field theory.…

Statistical Mechanics · Physics 2009-11-13 S. V. Fallert , Y. M. Kim , C. J. Neugebauer , S. N. Taraskin

The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical physics. In this work, we consider a totally asymmetric…

Statistical Mechanics · Physics 2018-06-25 Arvind Ayyer , Dipankar Roy

Using numerical techniques and asymptotic expansions we obtain the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in systems with negative short-range compressibility. The transition from the homogeneous phase…

Strongly Correlated Electrons · Physics 2008-07-10 C. Ortix , J. Lorenzana , C. Di Castro

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We consider near-critical planar systems with boundary conditions inducing phase separation. While order parameter correlations decay exponentially in pure phases, we show by direct field theoretical derivation how phase separation…

Statistical Mechanics · Physics 2016-12-13 Gesualdo Delfino , Alessio Squarcini

In these proceedings, we first summarize some general properties of phase transitions in the presence of quenched disorder, with emphasis on the following points: the need to distinguish typical and averaged correlations, the possible…

Disordered Systems and Neural Networks · Physics 2008-03-12 Cecile Monthus , Thomas Garel

The asymmetric simple exclusion process with random-force disorder is studied within the mean field approximation. The stationary current through a domain with reversed bias is analyzed and the results are found to be in accordance with…

Disordered Systems and Neural Networks · Physics 2015-05-30 Róbert Juhász

The stationary states of boundary driven zero-range processes in random media with quenched disorder are examined, and the motion of a tagged particle is analyzed. For symmetric transition rates, also known as the random barrier model, the…

Statistical Mechanics · Physics 2009-11-13 Otto Pulkkinen

The combined effect of disorder and symmetry-breaking fields on the two-dimensional XY model is examined. The study includes disorder in the interaction among spins in the form of random phase shifts as well as disorder in the local…

Disordered Systems and Neural Networks · Physics 2008-12-18 Stefan Scheidl , Michael Lehnen

The formation of (bio)molecular condensates via liquid-liquid phase separation in cells has received increasing attention, as these coacervates play important functional and regulatory roles within biological systems. However, the majority…

Soft Condensed Matter · Physics 2022-11-24 Arash Nikoubashman , Miho Yanagisawa

Self-propelled particles phase separate into coexisting dense and dilute regions above a critical density. The statistical nature of their stochastic motion lends itself to various theories that predict the onset of phase separation.…

Soft Condensed Matter · Physics 2018-04-25 Isaac R. Bruss , Sharon C. Glotzer

We propose a novel phase-field model to predict elastic microphase separation in polymer gels. To this end, we extend the Cahn-Hilliard free-energy functional to incorporate an elastic strain energy and a coupling term. These contributions…

Materials Science · Physics 2025-05-05 Hamza Oudich , Pietro Carrara , Laura De Lorenzis

Much work has been devoted to analysing thermodynamic models for solid dispersions with a view to identifying regions in the phase diagram where amorphous phase separation or drug recrystallization can occur. However, detailed partial…

Soft Condensed Matter · Physics 2020-06-26 Martin Meere , Giuseppe Pontrelli , Sean McGinty

Level statistics is a crucial tool in the exploration of localization physics. The level spacing distribution of the disordered localized phase follows Poisson statistics, and many studies naturally apply it to the quasiperiodic localized…

Disordered Systems and Neural Networks · Physics 2024-06-28 Chao Yang , Yucheng Wang

Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in which particle interactions enforce condensation in a randomly located site, or…

Probability · Mathematics 2016-09-26 Cécile Mailler , Peter Mörters , Daniel Ueltschi

We consider a two-dimensional system of elongated particles driven over a random quenched disorder landscape. For varied pinning site density, external drive magnitude, and particle elongation, we find a wide variety of dynamic phases,…

Soft Condensed Matter · Physics 2024-04-23 A. Libal , S. Stepanov , C. Reichhardt , C. J. O. Reichhardt