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A molecular model is proposed of a bilayer consisting of fully saturated DPPC and mono unsaturated DOPC. The model not only encompasses the constant density within the hydrophobic core of the bilayer, but also the tendency of chain segments…

Biological Physics · Physics 2009-11-10 R. Elliott , K. Katsov , M. Schick , I. Szleifer

The pair contact process (PCP) is a nonequilibrium stochastic model which, like the basic contact process (CP), exhibits a phase transition to an absorbing state. The two models belong to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2015-05-27 F. L. Santos , Ronald Dickman , U. L. Fulco

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

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

A numerical procedure was developed for solving equations for compressible granular multiphase flows in which the particle volume fraction can range dynamically from very dilute to very dense. The procedure uses a low-dissipation and…

Computational Physics · Physics 2014-10-20 Ryan W. Houim , Elaine S. Oran

We apply a particle-particle RPA model to study the properties of the two-neutron valence wave function in nuclei 14-C, 12-Be, 11-Li and 14-Be. The RPA model takes account of two body correlations in the core so that it gives a better…

Nuclear Theory · Physics 2009-11-07 J. C. Pacheco , N. Vinh Mau

New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

We redraw, using state-of-the-art methods for free-energy calculations, the phase diagrams of two reference models for the liquid state: the Gaussian and inverse-power-law repulsive potentials. Notwithstanding the different behavior of the…

Soft Condensed Matter · Physics 2011-10-26 S. Prestipino , F. Saija , P. V. Giaquinta

In this work, we study a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. The numerical methods we propose are based on suitable combinations of existing schemes for the…

Numerical Analysis · Mathematics 2021-04-07 Mattia Martini , Giacomo Enrico Sodini

An existence result is proved for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions.…

Analysis of PDEs · Mathematics 2012-02-24 Pierluigi Colli , Gianni Gilardi , Paolo Podio-Guidugli , Jürgen Sprekels

We explore a separable resolution-of-the-identity formalism built on quadratures over limited sets of real-space points designed for all-electron calculations. Our implementation preserves in particular the use of common atomic orbitals and…

Chemical Physics · Physics 2019-05-22 Ivan Duchemin , Xavier Blase

Colloidal suspensions with free polymer coils which are larger than the colloidal particles are considered. The polymer-colloid interaction is modeled by an extension of the Asakura-Oosawa model. Phase separation occurs into dilute and…

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

The thermodynamic entropy of coarse-grained (CG) models stands as one of the most important properties for quantifying the missing information during the CG process and for establishing transferable (or extendible) CG interactions. However,…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

Phase separation of the ultrasoft restricted primitive model (URPM) with Gaussian charges is re-investigated in the random phase approximation (RPA)---the 'Level A' approximation discussed by Nikoubashman, Hansen and Kahl [J. Chem. Phys.…

Statistical Mechanics · Physics 2013-02-22 Patrick B. Warren , Andrew J. Masters

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We present a new approach to derive the connectivity properties of pairwise interacting n-body systems in thermal equilibrium. We formulate an integral equation that relates the pair connectedness to the distribution of nearest neighbors.…

Statistical Mechanics · Physics 2020-07-01 Fabian Coupette , Andreas Härtel , Tanja Schilling

The determination of phase behavior and, in particular, the nature of phase transitions in two-dimensional systems is often clouded by finite size effects and by access to the appropriate thermodynamic regime. We address these issues using…

Soft Condensed Matter · Physics 2019-10-02 Shaghayegh Darjani , Joel Koplik , Sanjoy Banerjee , Vincent Pauchard

We show that a general density functional approach for calculating the force between two big particles immersed in a solvent of smaller ones can describe systems that exhibit fluid-fluid phase separation: the theory captures effects of…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We study the phase diagram of a system of spherical particles interacting in three dimensions through a potential consisting of a strict hard core plus a linear repulsive shoulder at larger distances. The phase diagram (obtained…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla
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