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In the present paper, using a molecular dynamics simulation, we study a nature of melting of a two-dimensional ($2D$) system of classical particles interacting through a purely repulsive isotropic core-softened potential which is used for…

Soft Condensed Matter · Physics 2015-06-22 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value problems for the Boltzmann equation for small Knudsen numbers. In this work a generally…

Analysis of PDEs · Mathematics 2024-01-09 Niclas Bernhoff

We investigate the dynamics of a strong first-order quark-hadron transition driven by cubic interaction via homogeneous bubble nucleation in the Friedberg-Lee model. The one-loop effective thermodynamics potential of the model and the…

High Energy Physics - Phenomenology · Physics 2021-03-22 Shuying Zhou , Song Shu , Hong Mao

Soft materials (e.g., enveloped viruses, liposomes, membranes and supercooled liquids) simultaneously deform or display collective behaviors, while undergoing atomic scale vibrations and collisions. While the multiple space-time character…

Soft Condensed Matter · Physics 2014-01-03 Peter Ortoleva , Abhishek Singharoy , Stephen Pankavich

Quantum phase slips are the primary excitations in one-dimensional superfluids and superconductors at low temperatures but their existence in ultracold quantum gases has not been demonstrated yet. We now study experimentally the nucleation…

General discrete one-dimensional stochastic models to describe the transport of single molecules along coupled parallel lattices with period $N$ are developed. Theoretical analysis that allows to calculate explicitly the steady-state…

Soft Condensed Matter · Physics 2009-11-11 Evgeny B. Stukalin , Anatoly B. Kolomeisky

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

It is well known that the increase of the spatial dimensionality enhances the fluid-fluid demixing of a binary mixture of hard hyperspheres, i.e. the demixing occurs for lower mixture size asymmetry as compared to the three-dimensional…

Soft Condensed Matter · Physics 2015-05-19 Luis Lafuente , Yuri Martinez-Raton

A novel theoretical model for bubble dynamics is established that simultaneously accounts for the liquid compressibility, phase transition, oscillation, migration, ambient flow field, etc. The bubble dynamics equations are presented in a…

Fluid Dynamics · Physics 2024-11-05 A-Man Zhang , Shi-Min Li , Run-Ze Xu , Shao-Cong Pei , Shuai Li , Yun-Long Liu

A thin plate or slab, prepared so that opposite faces have different surface stresses, will bend as a result of the stress difference. We have developed a classical molecular dynamics (MD) formulation where (similar in spirit to…

Materials Science · Physics 2009-10-31 Daniele Passerone , Erio Tosatti , Guido L. Chiarotti , Furio Ercolessi

Synthetic nanoscale complexes capable of mechanical movement are often studied theoretically using discrete-state models that involve instantaneous transitions between metastable states. A number of general results have been derived within…

Statistical Mechanics · Physics 2012-12-21 Dibyendu Mandal , Christopher Jarzynski

State-of-the-art simulations of high-energy nuclear collisions rely on hybrid setups, involving in particular a pre-equilibrium stage to let the system evolve from a far-from-equilibrium initial condition towards a near-equilibrated state…

Nuclear Theory · Physics 2024-10-31 Nicolas Borghini , Renata Krupczak , Hendrik Roch

We establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building upon this novel rigidity result, we then analyze solid-solid…

Analysis of PDEs · Mathematics 2019-12-24 Elisa Davoli , Manuel Friedrich

In this paper the development of a physically consistent phase-field theory of solidification shrinkage is presented. The coarse-grained hydrodynamic equations are derived directly from the N-body Hamiltonian equations in the framework of…

Materials Science · Physics 2020-02-28 Gyula I. Toth , Wenyue Ma

We use numerical simulations to study the phase behavior of a system of purely repulsive soft dumbbells as a function of size ratio of the two components and their relative degree of deformability. We find a plethora of different phases…

Soft Condensed Matter · Physics 2011-06-16 Andela Šarić , Behnaz Bozorgui , Angelo Cacciuto

Hybrid particle-field methods are computationally efficient approaches for modelling soft matter systems. So far applications of these methodologies have been limited to constant volume conditions. Here, we reformulate particle-field…

A generic property of a first-order phase transition in equilibrium, and in the limit of large entropy per unit of conserved charge, is the smallness of the isentropic speed of sound in the ``mixed phase''. A specific prediction is that…

The recently proposed Einstein molecule approach is extended to compute the free energy of molecular solids. This method is a variant of the Einstein crystal method of Frenkel and Ladd[J. Chem. Phys. 81,3188 (1984)]. In order to show its…

Statistical Mechanics · Physics 2009-01-14 E. G. Noya , M. M. Conde , C. Vega

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston

In this work the well-known Frenkel-Mulder phase diagram of hard ellipsoids of revolution [Mol. Phys. 55, 1171 (1985)] is revisited by means of replica exchange Monte Carlo simulations. The method provides good sampling of dense systems and…

Statistical Mechanics · Physics 2015-06-04 Gerardo Odriozola
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