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In this paper we discuss the incompressible limit for multicomponent fluids in the isothermal ideal case. Both a direct limit-passage in the equation of state and the low Mach-number limit in rescaled PDEs are investigated. Using the…

Analysis of PDEs · Mathematics 2022-04-26 Pierre-Etienne Druet

Constitutive equations are derived for the viscoelastic behavior of particle-reinforced rubbers at isothermal loading with finite strains. A filled rubber is thought of as a composite medium where inclusions with high and low concentrations…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

The search for problems where quantum adiabatic optimization might excel over classical optimization techniques has sparked a recent interest in inducing a finite-temperature spin-glass transition in quasi-planar topologies. We have…

Disordered Systems and Neural Networks · Physics 2018-05-28 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

Many thermo-mechanical processes, such as thermal expansion and stress relaxation, originate at the atomistic scale. We develop a sequential multiscale approach to study thermally stressed superelastic polyimide to explore these effects.…

Materials Science · Physics 2025-04-30 Jerome Samuel S , Puneet Kumar Patra , Md Rushdie Ibne Islam

We carried out three-dimensional simulations, with about 1.4 million particles, of phase segregation in a low density binary fluid mixture, described mesoscopically by energy and momentum conserving Boltzmann-Vlasov equations. Using a…

patt-sol · Physics 2008-02-03 S. Bastea , J. L. Lebowitz

We study the phase diagram at finite temperature of a system of Fermi particles on the sites of the Bethe lattice with coordination number z and interacting through onsite U and nearest-neighbor V interactions. This is a physical…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini , A. Naddeo

We investigate thermal fluctuations in a smectic A phase of an amphiphile-solvent mixture with molecular dynamics simulations. We use an idealized model system, where solvent particles are represented by simple beads, and amphiphiles by…

Soft Condensed Matter · Physics 2009-11-10 Claire Loison , Michel Mareschal , Kurt Kremer , Friederike Schmid

The microscopic model of semi-crystalline polymer in high-elastic state is proposed. The model is based on the assumption that, below the melting temperature, the semi-crystalline polymer comprises crystal nuclei connected by stretched…

Soft Condensed Matter · Physics 2013-06-20 V. V. Atrazhev , S. F. Burlatsky , D. V. Dmitriev , V. I. Sultanov

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

Soft Condensed Matter · Physics 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

An effective quasiparticle description of the thermodynamics of deconfined matter, compatible with both finite-temperature lattice data and the perturbative limit, is generalized to finite chemical potential. Within this approach, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Peshier , B. Kampfer , G. Soff

Self-assembling, semi-flexible polymers are ubiquitous in biology and technology. However, there remain conflicting accounts of the equilibrium kinetics for such an important system. Here, by focusing on a dynamical description of a minimal…

Soft Condensed Matter · Physics 2018-07-17 Chiu Fan Lee

We consider the Cooper-problem on a lattice model including onsite and near-neighbor interactions. Expanding the interaction in basis functions for the irreducible representation for the point group $C_{4v}$ yields a classification of the…

Superconductivity · Physics 2008-02-03 E. Otnes , A. Sudbø

In this work we propose a new algorithm for the computation of statistical equilibrium quantities on a cubic lattice when both an energy and a statistical temperature are involved. We demonstrate that the pivot algorithm used in situations…

Statistical Mechanics · Physics 2021-06-15 Pavel Bělík , Eric Bibelnieks , Robert Laskowski , Aleksandr Lukanen , Douglas P. Dokken

We consider a binary mixture of colloid and polymer particles with positions on a simple cubic lattice. Colloids exclude both colloids and polymers from nearest neighbor sites. Polymers are treated as effective particles that are mutually…

Statistical Mechanics · Physics 2007-07-18 Jose A. Cuesta , Luis Lafuente , Matthias Schmidt

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

Statistical Mechanics · Physics 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

We consider the existence of optimal shapes in the context of the thermomechanical system of partial differential equations (PDE) using the recent approach based on elliptic regularity theory. We give an extended and improved definition of…

Optimization and Control · Mathematics 2016-01-05 Laura Bittner , Hanno Gottschalk

We study a solution of interacting semiflexible polymers with curvature energy in poor-solvent conditions on the d-dimensional cubic lattice using mean-field theory and Monte Carlo computer simulations. Building upon past studies on a…

Soft Condensed Matter · Physics 2024-07-02 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

The phase behavior of binary fluid mixtures of hard hyperspheres in four and five dimensions is investigated. Spinodal instability is found by using a recent and accurate prescription for the equation of state of the mixture that requires…

Statistical Mechanics · Physics 2016-08-15 S. B. Yuste , A. Santos , M. López de Haro

We present Monte Carlo simulations on a lattice system that displays a first order phase transition between a disordered phase (liquid) and an ordered phase (crystal). The model is augmented by an interaction that simulates the effect of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Attanasi , Andrea Cavagna , Jose' Lorenzana

We simulate the dynamics of phase assembly in binary immiscible fluids and ternary microemulsions using a three-dimensional hydrodynamic lattice gas approach. For critical spinodal decomposition we perform the scaling analysis in reduced…

Soft Condensed Matter · Physics 2009-11-07 Peter J. Love , Peter V. Coveney , Bruce M. Boghosian