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In order to find a measure of the dynamical features of phase separation kinetics during spinodal decomposition of a liquid binary mixture (like water and cyclohexane , water and 2,6 lutidiene or methanol and cyclohexane), we study both the…

Soft Condensed Matter · Physics 2016-04-21 Milan K. Hazra , Sarmistha Sarkar , Biman Bagchi

Symmetric binary fluids, quenched into a regime of immiscibility, undergo phase separation by spinodal decomposition. In the late stages, the fluids are separated by sharply defined, but curved, interfaces: the resulting Laplace pressure…

Condensed Matter · Physics 2007-05-23 M. E. Cates , V. M. Kendon , P. Bladon , J-C. Desplat

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of central heavy ion reactions are parameterized in terms of time dependent thermodynamical variables in the Fermi liquid sense. This allows one to…

Nuclear Theory · Physics 2009-11-06 Klaus Morawetz

Phase separation can drive spatial organization of multicomponent mixtures. For instance in developing animal embryos, effective phase separation descriptions have been used to account for the spatial organization of different tissue types.…

Soft Condensed Matter · Physics 2023-01-18 Simon Gsell , Matthias Merkel

We study universality in the kinetics of spinodal phase separation in unstable thin liquid films, via simulations of the thin film equation. It is shown that in addition to morphology and free energy,the number density of local maxima in…

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

Binary mixtures are known to phase separate via both nucleation and spinodal decomposition, depending on the initial composition and extent of the quench. Here we develop an energy landscape view of phase separation and non-ideality in…

Statistical Mechanics · Physics 2010-12-22 Sarmistha Sarkar , Biman Bagchi

The kinetic theory for a fluid of hard spheres which undergo endothermic and/or exothermic reactions with mass transfer is developed. The exact balance equations for concentration, density, velocity and temperature are derived. The Enskog…

Statistical Mechanics · Physics 2007-05-23 James F. Lutsko

An adiabatic approach is developed for the problem of boundary friction between two atomically smooth and incommensurate solid surfaces, separated by a monolayer of lubricant atoms. This method permits to consider very slow macroscopic…

Materials Science · Physics 2007-05-23 Yu. G. Pogorelov

Starting from an ideal crystalline state, we numerically study a nonequilibrium dynamical order- disorder transition promoted by the application of a periodic shearing protocol at low temperatures in model systems in two and three…

Soft Condensed Matter · Physics 2021-08-10 Eric Brillaux , Francesco Turci

We study spinodal phase separation in unstable thin liquid films on chemically disordered substrates via simulations of the thin-film equation. The disorder is characterized by immobile patches of varying size and Hamaker constant. The…

Soft Condensed Matter · Physics 2019-03-27 Manish Vashishtha , Prabhat K. Jaiswal , Rajesh Khanna , Sanjay Puri , Ashutosh Sharma

We present a modified simulated annealing method with a dynamical choice of the cooling temperature. The latter is determined via a closed-loop control and is proven to yield exponential decay of the entropy of the particle system. The…

Optimization and Control · Mathematics 2026-02-18 Michael Herty , Mattia Zanella

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the…

Statistical Mechanics · Physics 2015-05-13 Enrique Hernandez-Lemus , Leopoldo S. Garcia-Colin

Non-equilibrium molecular dynamics simulations are performed to investigate the dynamic behavior of three-dimensional binary glasses prepared via an instantaneous quench across the glass transition. We found that with increasing strain…

Soft Condensed Matter · Physics 2018-07-19 Nikolai V. Priezjev

Phase transition kinetics of aqueous hydroxypropyl cellulose solution was studied by using turbidimetric monitoring and mathematical modelling techniques. Based on the nonlinear Cahn-Hilliard equation with a mobility depending on the…

Soft Condensed Matter · Physics 2021-12-21 V. I. Kovalchuk

We study the radial relaxation dynamics toward equilibrium and time-periodic pulsating spherically symmetric gas bubbles in an incompressible liquid due to thermal effects. The asymptotic model ([A. Prosperetti, J. Fluid Mech., 1991] and…

Analysis of PDEs · Mathematics 2023-05-16 Chen-Chih Lai , Michael I. Weinstein

We investigate the domain growth and phase separation of hydrodynamically-correct binary immiscible fluids of differing viscosity as a function of minority phase concentration in both two and three spatial dimensions using dissipative…

Soft Condensed Matter · Physics 2009-10-31 Keir E. Novik , Peter V. Coveney

In this paper we propose a mathematical model of phase separation for a quasi-incompressible binary mixture where the spinodal decomposition is induced by an heat flux governed by the Cattaneo-Maxwell equation. As usual, the phase…

Mathematical Physics · Physics 2013-06-04 A. Berti , I. Bochicchio , M. Fabrizio

In this Letter, three physical predictions on the phase separation of binary systems are derived based on a dynamic transition theory developed recently by the authors. First, the order of phase transitions is precisely determined by the…

Statistical Mechanics · Physics 2010-05-14 Tian Ma , Shouhong Wang

We present the first systematic observation of scaling of thermal hysteresis with the temperature scanning rate around an abrupt thermodynamic transition in correlated electron systems. We show that the depth of supercooling and…