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Related papers: Composition Patterning in Systems Driven by Compet…

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The phase coexistence of chemically ordered L1_0 and chemically disordered structures within binary alloys is investigated, using the NiMn system as an example. Theoretical and numerical predictions of the signatures one might expect in…

Materials Science · Physics 2007-05-23 Rafael C. Howell , Steven D. Conradson , Angel J. Garcia-Adeva

We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. When the interspecific competition parameter tends to infinity, the system solution converges to…

Analysis of PDEs · Mathematics 2007-07-13 E. C. M. Crooks , E. N. Dancer , D. Hilhorst

We study the early time and coarsening dynamics in the Light-Heavy model, a system consisting of two species of particles ($light$ and $heavy$) coupled to a fluctuating surface (described by tilt fields). The dynamics of particles and tilts…

Statistical Mechanics · Physics 2020-12-17 Samvit Mahapatra , Kabir Ramola , Mustansir Barma

Dislocation-assisted phase separation processes in binary systems subjected to irradiation effect are studied analytically and numerically. Irradiation is described by athermal atomic mixing in the form of ballistic flux with spatially…

Statistical Mechanics · Physics 2015-06-15 D. O. Kharchenko , O. M. Schokotova , A. I. Bashtova , I. O. Lysenko

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Transverse pattern formation in an optical cavity containing a cloud of cold two-level atoms is discussed. We show that density modulation becomes the dominant mechanism as the atomic temperature is reduced. Indeed, for low but achievable…

Pattern Formation and Solitons · Physics 2015-06-04 E. Tesio , G. R. M. Robb , T. Ackemann , W. J. Firth , G. -L. Oppo

We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio…

Soft Condensed Matter · Physics 2025-01-10 C. Reichhardt , C. J. O. Reichhardt

We introduce a new dynamic light scattering method, termed photon correlation imaging, which enables us to resolve the dynamics of soft matter in space and time. We demonstrate photon correlation imaging by investigating the slow dynamics…

Soft Condensed Matter · Physics 2009-03-02 Agnes Duri , David A. Sessoms , Veronique Trappe , Luca Cipelletti

This article examines the dynamic phase transitions and pattern formations attributed to binary systems modeled by the Cahn-Hilliard equation. In particular, we consider a two-dimensional lattice structure and determine how different…

Analysis of PDEs · Mathematics 2025-11-25 Jared Grossman , Evan Halloran , Shouhong Wang

Hybrid atom-ion systems are a rich and powerful platform for studying chemical reactions, as they feature both excellent control over the electronic state preparation and readout as well as a versatile tunability over the scattering energy,…

In two previous works [arXiv:1009.4363,arXiv:1107.0668], we studied the time evolution of a system of real scalar fields with quartic coupling which shares important features with the Color Glass Condensate description of heavy ion…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kevin Dusling , Thomas Epelbaum , François Gelis , Raju Venugopalan

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

Soft Condensed Matter · Physics 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

Phase diagram and pattern formation in two-dimensional Ising model with coupling between order parameter and lattice vibrations is investigated by Monte-Carlo simulations. It is shown that if the coupling is strong enough (or phonons are…

Statistical Mechanics · Physics 2011-11-10 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

This paper explores a novel connection between a thermodynamic and a dynamical systems perspective on emergent dynamical order. We provide evidence for a conjecture that Hamiltonian systems with mixed chaos spontaneously find regular…

Adaptation and Self-Organizing Systems · Physics 2025-09-16 Pavel Chvykov , Jeremy England

Pattern formation often occurs in confined systems, yet how boundaries shape patterning dynamics is unclear. We develop techniques to analyze confinement effects in nonlocal advection-diffusion equations, which generically capture the…

Pattern Formation and Solitons · Physics 2025-09-11 Jan Rombouts , Michael L Zhao , Alexander Aulehla , Anna Erzberger

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

Atoms can spontaneously form spatially-ordered structures in optical resonators when they are transversally driven by lasers. This occurs when the laser intensity exceeds a threshold value and results from the mechanical forces on the atoms…

Quantum Physics · Physics 2014-11-19 Stefan Schütz , Giovanna Morigi

We consider the stability of precipitates formed at grain boundaries (GBs) by radiation-induced segregation in dilute alloys subjected to irradiation. The effects of grain size and misorientation of symmetric-tilt GBs are quantified using…

Materials Science · Physics 2023-08-16 G. F. Bouobda Moladje , R. S. Averback , P. Bellon , L. Thuinet

Melting is typically viewed as a bulk first-order phase transition that proceeds once nucleation barriers are overcome. Here we demonstrate an interfacially arrested melting regime in molecularly thin crystalline films, where large liquid…

Soft Condensed Matter · Physics 2026-01-21 Chenyu Jin , Guoxiang Chen , Beibei Wang , Yongfeng Mei , Hans Riegler

The performance of optical devices manufactured via laser micromachining on nonlinear transparent materials, relies usually on three main factors which are the characteristic laser parameters (i.e. the laser power, pulse duration and pulse…

Pattern Formation and Solitons · Physics 2021-07-08 P. Kameni Nteutse , Alain M. Dikandé , S. Zekeng