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The Fokker-Planck equation for a heavy particle in a granular fluid is derived from the Liouville equation. The host fluid is assumed to be in its homogeneous cooling state and all interactions are idealized as smooth, inelastic hard…

Statistical Mechanics · Physics 2007-05-23 J. W. Dufty , J. J. Brey

We propose a model describing the phase behavior of two-component membranes consisting of binary mixtures of electrically charged and neutral lipids. We take into account the structural phase transition (main-transition) of the hydrocarbon…

Soft Condensed Matter · Physics 2016-07-11 Naofumi Shimokawa , Hiroki Himeno , Tsutomu Hamada , Masahiro Takagi , Shigeyuki Komura , David Andelman

A percolation model is proposed to explain the structural phase transitions found in Li$_{1-x}$H$_x$IO$_3$ mixed crystals as a function of the concentration parameter $x$. The percolation thresholds are obtained from Monte Carlo simulations…

Statistical Mechanics · Physics 2009-11-10 P. H. L. Martins , J. A. Plascak , M. A. Pimenta

We study the Josephson-like interlayer tunneling signature of the strongly correlated $\nu_T = 1$ quantum Hall phase in bilayer two-dimensional electron systems as a function of the layer separation, temperature and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. R. Champagne , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The composition-independent virial coefficients of a $d$-dimensional binary mixture of (additive) hard hyperspheres following from a recent proposal for the equation of state of the mixture [Santos, A., Yuste, S. B., and L\'opez de Haro,…

Statistical Mechanics · Physics 2007-05-23 A. Santos , S. B. Yuste , M. López de Haro

Due to nonuniform aggregation in liquid state, from the thermodynamic point of view any glass-forming liquid in the vicinity of the liquid-to-solid phase transition temperature, irrespective of its actual chemical composition, shall be…

Disordered Systems and Neural Networks · Physics 2021-03-18 Vladimir Belostotsky

A Ginzburg-Landau theory is presented to investigate solvation effects in near-critical polar fluid binary mixtures. Concentration-dependence of the dielectric constant gives rise to a shell region around a charged particle within which…

Soft Condensed Matter · Physics 2009-11-10 Akira Onuki , Hikaru Kitamura

New relations among the mixture direct correlation function integrals (or fluctuation integrals) in terms of concentration variables are developed. These relations indicate that, for example, for a binary mixture only one of the three…

Statistical Mechanics · Physics 2018-11-22 L. Lepori , E. Matteoli , E. Z. Hamad , G. A. Mansoori

This is a study of percolation in the hyperbolic plane and on regular tilings in the hyperbolic plane. The processes discussed include Bernoulli site and bond percolation on planar hyperbolic graphs, invariant dependent percolations on such…

Probability · Mathematics 2008-11-26 Itai Benjamini , Oded Schramm

We present a theory for phase-separated liquid coacervates with salt, taking into account spatial heterogeneities and interfacial profiles. We find that charged layers of alternating sign can form around the interface while the bulk phases…

Soft Condensed Matter · Physics 2024-08-07 Arghya Majee , Christoph A. Weber , Frank Jülicher

We construct a non-perturbative fully analytical approximation for the thermodynamics and the structure of nonadditive hard-sphere fluid mixtures. The method essentially lies in a heuristic extension of the Percus-Yevick solution for…

Soft Condensed Matter · Physics 2011-10-14 Riccardo Fantoni , Andrés Santos

This article contains our comments and views on the status of the current understanding of phase transitions in systems with only hard-core interactions, based on our work in this area. The equation of state for the hard sphere gas in…

Statistical Mechanics · Physics 2023-07-13 Deepak Dhar , R. Rajesh , Aanjaneya Kumar

We study the evolution of a two component fluid consisting of ``blue'' and ``red'' particles which interact via strong short range (hard core) and weak long range pair potentials. At low temperatures the equilibrium state of the system is…

Mathematical Physics · Physics 2007-05-23 S. Bastea , R. Esposito , J. L. Lebowitz , R. Marra

The mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a…

Statistical Mechanics · Physics 2010-10-01 Ludovic Berthier , Gilles Tarjus

Computer simulations of contact melting and associated interfacial phenomena in binary eutectic systems were performed on the basis of the standard phase-field model with miscibility gap in solid state. It is shown that the model predicts…

Materials Science · Physics 2014-09-05 Oleksiy Bystrenko , Valeriy Kartuzov

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

Spontaneous phase separation, or demixing, is important in biological phenomena such as cell sorting. In particle-based models, an open question is whether differences in diffusivity can drive such demixing. While…

Soft Condensed Matter · Physics 2023-07-10 Erin McCarthy , Ojan Damavandi , Raj Kumar Manna , M. Lisa Manning

If a binary liquid mixture, composed of two alternative species with equal amounts, is quenched from a high temperature to a low temperature, below the critical point of demixing, then the mixture will phase separate through a process known…

Statistical Mechanics · Physics 2022-02-04 Thomas J. Longo , Mikhail A. Anisimov

By using the Rosenfeld density functional we determine the number density profiles of both components of binary hard-sphere fluids close to a planar hard wall as well as the corresponding excess coverage and surface tension. The comparison…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , S. Dietrich

We analyze motility-induced phase separation and bubbly phase separation in a two-dimensional lattice model of self-propelled particles. We compare systems where the dense (liquid) phase has slab and droplet geometries. We find that…

Soft Condensed Matter · Physics 2025-03-18 Liheng Yao , Robert L. Jack
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