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Turing instability in activator-inhibitor systems provides a paradigm of nonequilibrium pattern formation; it has been extensively investigated for biological and chemical processes. Turing pattern formation should furthermore be possible…

Adaptation and Self-Organizing Systems · Physics 2010-05-13 Hiroya Nakao , Alexander S. Mikhailov

The main objective of this article is to study the order-disorder phase transition and pattern formation for systems with long-range repulsive interactions. The main focus is on the Cahn-Hilliard model with a nonlocal term in the…

Statistical Mechanics · Physics 2011-06-21 Honghu Liu , Taylan Sengul , Shouhong Wang , Pingwen Zhang

For some time now, we have been using a FRET-based strategy to make high-resolution studies of phase behavior in ternary lipid-raft membrane mixtures. Our FRET experiments can be carried out on ordinary, polydisperse multilamellar vesicle…

Biological Physics · Physics 2007-08-14 Jeffrey T. Buboltz , Charles Bwalya , Krystle Williams , Matthew Schutzer

We study the correlated Haldane-Hubbard model with single-particle gain and loss, focusing on its non-Hermitian phase diagram and the ensuing non-unitary dynamic properties. The interplay of interactions and non-hermiticity results in…

Strongly Correlated Electrons · Physics 2025-05-05 Tian-Cheng Yi , Rubem Mondaini

We study the stationary dynamics of energy exchange in an ensemble of phase oscillators, coupled through a mean-field mechanical interaction and added with friction and an external periodic excitation. The degree of entrainment between…

Adaptation and Self-Organizing Systems · Physics 2021-12-02 Raúl I. Sosa , Damián H. Zanette

Studies of active matter, from molecular assemblies to animal groups, have revealed two broad classes of behavior: a tendency to align yields orientational order and collective motion, whereas particle repulsion leads to self-trapping and…

Soft Condensed Matter · Physics 2021-11-23 Jie Zhang , Ricard Alert , Jing Yan , Ned S. Wingreen , Steve Granick

In many plasma systems, introducing a small background shear flow is enough to stabilize the system linearly. The nonlinear dynamics are much less sensitive to sheared flows than the average linear growthrates, and very small amplitude…

Plasma Physics · Physics 2018-01-17 Chris C. T. Pringle , Ben F. McMillan , Bogdan Teaca

We use coherent states as trial states for a variational approach to study a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic field. The atoms are treated as…

Quantum Physics · Physics 2018-06-20 L. F. Quezada , E. Nahmad-Achar

We report the first experimental realization of pattern formation in a spatially extended nonlinear system when the system is alternated between two states, neither of which exhibits patterning. Dynamical equations modeling the system are…

Pattern Formation and Solitons · Physics 2009-11-11 J. P. Sharpe , P. L. Ramazza , N. Sungar , Karl Saunders

We study numerically a model of non-aligning self-propelled particles interacting through steric repulsion, which was recently shown to exhibit active phase separation in two dimensions in the absence of any attractive interaction or…

Soft Condensed Matter · Physics 2014-06-03 Yaouen Fily , Silke Henkes , M. Cristina Marchetti

Non-equilibrium selection pressures were proposed for the formation of oligonucleotides with rich functionalities encoded in their sequences, such as catalysis. Since phase separation was shown to direct various chemical processes, we ask…

Statistical Mechanics · Physics 2024-10-14 Ivar S. Haugerud , Giacomo Bartolucci , Dieter Braun , Christoph A. Weber

The motion of three-phase contact lines is one of the most relevant research topics of micro- and nano-fluidics. According to many hydrodynamic and molecular models, the dynamics of contact lines is assumed overdamped and dominated by…

Fluid Dynamics · Physics 2022-09-29 Michele Pellegrino , Berk Hess

Computer simulations of contact melting and associated interfacial phenomena in binary eutectic systems were performed on the basis of the standard phase-field model with miscibility gap in solid state. It is shown that the model predicts…

Materials Science · Physics 2014-09-05 Oleksiy Bystrenko , Valeriy Kartuzov

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model immiscible binary mixtures. Excluded volume interactions between the two components are modeled by stochastic multiparticle…

Soft Condensed Matter · Physics 2015-05-13 Erkan Tuzel , Guoai Pan , Thomas Ihle , Daniel M. Kroll

In active fluids and active solids the constituents individually generate movement by each extracting energy from their environment or from their own source. Non-reciprocal interactions among these active constituents then enable novel…

Soft Condensed Matter · Physics 2025-03-18 Brady Wu , Qinghao Mao , Bryan VanSaders , Heinrich M. Jaeger

We numerically examine mixtures of circularly moving and passive disks as a function of density and active orbit radius. For low or intermediate densities and/or small orbit radii, the system can organize into a reversible partially phase…

Soft Condensed Matter · Physics 2019-09-13 C. Reichhardt , C. J. O. Reichhardt

A model of a phase-separating two-component Langmuir monolayer in the presence of a photo-induced reaction interconvering two components is formulated. An interplay between phase separation, orientational ordering and treaction is found to…

Pattern Formation and Solitons · Physics 2009-11-10 Ramon Reigada , Alexander S. Mikhailov , Francesc Sagues

Using extensive particle-based simulations, we investigate out-of-equilibrium pattern dynamics in an oppositely driven binary particle system in two dimensions. A surprisingly rich dynamical behavior including lane formation, jamming,…

Soft Condensed Matter · Physics 2015-06-05 Masahiro Ikeda , Hirofumi Wada , Hisao Hayakawa

Subcritical transition to turbulence, in which the laminar state is linearly stable yet finite-amplitude perturbations develop into turbulence, is ubiquitous but lacks a simple analytical framework. We demonstrate such a framework using a…

Fluid Dynamics · Physics 2026-03-27 Yoshiki Hiruta