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Disagreement percolation connects a Gibbs lattice gas and i.i.d. site percolation on the same lattice such that non-percolation implies uniqueness of the Gibbs measure. This work generalises disagreement percolation to the hard-sphere model…

概率论 · 数学 2019-07-02 Christoph Hofer-Temmel

We use specialized Monte Carlo simulation methods and moment free energy calculations to provide conclusive evidence that dense polydisperse spheres at equilibrium demix into coexisting fcc phases, with more phases appearing as the spread…

统计力学 · 物理学 2013-05-29 Peter Sollich , Nigel B. Wilding

We consider the flow of a viscous incompressible fluid through a porous medium. We allow the permeability of the medium to depend exponentially on the pressure and provide an analysis for this model. We study a splitting formulation where a…

偏微分方程分析 · 数学 2020-11-06 Zerihun Kinfe Birhanu , Tadele Mengesha , Abner J. Salgado

In this paper we propose an extension of the Cahn method to binary mixtures and study the problem of wetting near a two-phase critical point without any assumption on the form of intermolecular potentials. A comparison between Cahn's method…

经典物理 · 物理学 2008-12-18 Henri Gouin , Sergey Gavrilyuk

Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

软凝聚态物质 · 物理学 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

Because of the enormous range of time and space scales involved in dislocation dynamics, plastic modeling at macroscale requires a continuous formulation. In this paper, we present a rigorous formulation of the transition between the…

材料科学 · 物理学 2016-06-22 P. L. Valdenaire , Y. Le Bouar , B. Appolaire , A. Finel

We explore the equilibrium properties of a system composed of dipolar hard spheres. A new theory based on the ideas derived from the work of Debye and H\"uckel, Bjerrum, and Onsager is proposed to explain the absence of the anticipated…

软凝聚态物质 · 物理学 2009-10-31 Yan Levin

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

软凝聚态物质 · 物理学 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

After extensive quasi-static shearing, dense dry granular flows attain a steady-state condition of porosity and deviatoric stress, even as particles are continually rearranged. The paper considers two-dimensional flow and derives the…

软凝聚态物质 · 物理学 2018-12-27 Matthew R. Kuhn

We consider binary liquid mixtures near their critical consolute points and exposed to geometrically flat but chemically structured substrates. The chemical contrast between the various substrate structures amounts to opposite local…

软凝聚态物质 · 物理学 2009-11-11 Monika Sprenger , Frank Schlesener , S. Dietrich

Density functional theory is used to study binary colloidal fluids consisting of hard spheres and thin platelets in their bulk and near a planar hard wall. This system exhibits liquid-liquid coexistence of a phase that is rich in spheres…

软凝聚态物质 · 物理学 2009-11-10 L. Harnau , S. Dietrich

The thermodynamic instabilities of a binary mixture of sticky hard spheres (SHS) in the modified Mean Spherical Approximation (mMSA) and the Percus-Yevick (PY) approximation are investigated using an approach devised by X. S. Chen and F.…

统计力学 · 物理学 2007-05-23 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti

We discuss structural and thermodynamical properties of Baxter's adhesive hard sphere model within a class of closures which includes the Percus-Yevick (PY) one. The common feature of all these closures is to have a direct correlation…

统计力学 · 物理学 2009-11-10 Domenico Gazzillo , Achille Giacometti

In the framework of the van-der-Waals model, analytical expressions for the locus of extrema (ridges) for heat capacity, thermal expansion coefficient, compressibility, density fluctuation, and sound velocity in the supercritical region…

软凝聚态物质 · 物理学 2015-05-27 V. V. Brazhkin , V. N. Ryzhov

In a cluster crystal, each lattice site is occupied by multiple soft-core particles. As the number density is increased at zero temperature, a `cascade' of isostructural phase transitions can occur between states whose site occupancy…

软凝聚态物质 · 物理学 2015-06-22 Nigel B. Wilding , Peter Sollich

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

其他凝聚态物理 · 物理学 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

In recent works, we proposed a theory of turbulence creation via the second coefficient of the virial expansion (i.e. the van der Waals effect). This theory relies, in part, on the empirically observed "equilibrated" behavior of pressure in…

流体动力学 · 物理学 2025-08-14 Rafail V. Abramov

The stability of demixing phase transition in binary mixtures of hard plates (with thickness L and diameter D) and hard spheres (with diameter $\sigma$) is studied by means of Parsons-Lee theory. The isotropic-isotropic demixing, which is…

软凝聚态物质 · 物理学 2016-04-20 Roohollah Aliabadi , Mahmood Moradi , Szabolcs Varga

Hard-sphere mixtures provide one a solvable reference system that can be used to improve the density functional theory of realistic molecular fluids. We show how the Kierlik-Rosinberg's scalar version of the fundamental measure density…

化学物理 · 物理学 2012-07-23 Maximilien Levesque , Rodolphe Vuilleumier , Daniel Borgis

Phase diagrams of some globular proteins have a fluid-fluid transition as well as a fluid-crystal transition. Homogeneous nucleation of the crystal from the fluid phase near the critical point of the fluid-fluid transition is examined. As…

软凝聚态物质 · 物理学 2009-10-31 Richard P. Sear
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