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In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

We examine the dynamics of two-dimensional colloidal systems using numerical simulations of a system with a drive applied to a thin region in the middle of the sample to produce a local shear. For a monodisperse colloidal assembly, we find…

Soft Condensed Matter · Physics 2015-06-11 A. Libal , B. M. Csiki , C. J. Olson Reichhardt , C. Reichhardt

We consider the Cahn-Hilliard (CH) equation with a Burgers-type convective term that is used as a model of coarsening dynamics in laterally driven phase-separating systems. In the absence of driving, it is known that solutions to the…

Pattern Formation and Solitons · Physics 2023-06-13 D. Tseluiko , M. Alesemi , T. -S. Lin , U. Thiele

We present few ordering mechanisms in block copolymer melts in the coarse-graining approach. For chemically homogeneous or modulated confining surfaces, the surface ordering is investigated above and below the order-disorder temperature. In…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman

A general approach to consider spatially extended stochastic systems with correlations between additive and multiplicative noises subject to nonlinear damping is developed. Within modified cumulant expansion method, we derive an effective…

Statistical Mechanics · Physics 2009-11-10 A. I. Olemskoi , D. O. Kharchenko , I. A. Knyaz'

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

Phase separation in the Hubbard model is investigated with the dynamical cluster approximation. We find that it is present in the paramagnetic solution for values of filling smaller than one and at finite temperature when a positive…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , M. Jarrell , Th. Maier

Spontaneous stratification of granular mixtures has been reported by Makse et al. [Nature 386, 379 (1997)] when a mixture of grains differing in size and shape is poured in a quasi-two-dimensional heap. We study this phenomenon using two…

Statistical Mechanics · Physics 2009-10-31 Pierre Cizeau , Hernan A. Makse , H. Eugene Stanley

Phase separation accompanied by further domain growth and coarsening is a phenomenon common to a broad variety of dynamical systems. In this connection, controlling such processes represents a relevant interdisciplinary problem. Using…

Optics · Physics 2023-08-02 Vladimir V. Semenov , Xavier Porte , Laurent Larger , Daniel Brunner

Discrete particle simulation methods have been used to study axial segregation in a horizontal rotating cylinder that is partially filled with a mixture of two different kinds of granular particles. Under suitable conditions segregation was…

Soft Condensed Matter · Physics 2016-08-31 D. C. Rapaport

Motivated by the experimental study of Tayebi et al. [Nature Mater. 11, 1074 (2012)] on phase separation of stacked multi-component lipid bilayers, we propose a model composed of stacked two-dimensional Ising spins. We study both its static…

Soft Condensed Matter · Physics 2015-12-14 T. Hoshino , S. Komura , D. Andelman

A new type of two phase coexistence in a vibrated granular material is reported, in the limit where energy transfer between the particles and the bottom wall occurs due to discrete collisions. A horizontally homogeneous bed develops…

Statistical Mechanics · Physics 2007-05-23 P Sunthar , V Kumaran

Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount connection between the material morphology and Coulombic…

Chemical Physics · Physics 2016-03-15 Nir Gavish , Arik Yochelis

We propose an active Cahn-Hilliard theory for the dynamics of a new type of phase transition where the driving force is not the direct interactions between the two separating components, but their active sorting by a third polar species.…

Soft Condensed Matter · Physics 2026-04-02 Sudipta Pattanayak , Alfredo Sciortino , Laurent Blanchoin , Manuel Théry , Jean-Francois Joanny

We present results from extensive 3-d molecular dynamics (MD) simulations of phase separation kinetics in fluids. A coarse-graining procedure is used to obtain state-of-the-art MD results. We observe an extended period of temporally linear…

Statistical Mechanics · Physics 2015-05-19 Shaista Ahmad , Subir K. Das , Sanjay Puri

We study numerically the coarsening dynamics of the Ising model on a regular lattice with random bonds and on deterministic fractal substrates. We propose a unifying interpretation of the phase-ordering processes based on two classes of…

Statistical Mechanics · Physics 2015-06-24 Federico Corberi , Eugenio Lippiello , Raffaella Burioni , Alessandro Vezzani , Marco Zannetti

Granular materials are known to separate by size under a variety of circumstances. Experiments presented here and elucidated by modeling and MD simulation document a new segregation mechanism, namely segregation by friction. The experiments…

Soft Condensed Matter · Physics 2009-11-07 L. Kondic , R. R. Hartley , S. G. K. Tennakoon , B. Painter , R. P. Behringer

Laser phase noise is one of the main sources of decoherence in driven Rydberg systems with neutral atoms in tweezer arrays. While the effect of phase noise in the regimes of isolated qubits and few-qubit gate protocols has been studied…

Quantum Physics · Physics 2026-03-03 Tomas Kozlej , Gerard Pelegri , Jonathan D. Pritchard , Andrew J. Daley

A simple phenomenological model of a binary granular mixture is developed and investigated numerically. We attempt to model the experimental system of [1,2] where a horizontally vibrated binary monolayer was found to exhibit a transition…

Statistical Mechanics · Physics 2009-11-10 George C. M. A. Ehrhardt , Andrew Stephenson , Pedro M. Reis

We numerically investigate the dependence of range of attractive potential on the phase separation of 2-D binary systems. Through extensive simulations and analysis, we show that when the range of attractive interactions approaches the…

Computational Physics · Physics 2024-05-14 D. C. Thakur , Jalim Singh , A. V. Anil Kumar
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