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An extension of coupled maps is given which allows for the growth of the number of elements, and is inspired by the cell differentiation problem. The growth of elements is made possible first by clustering the phases, and then by…

adap-org · Physics 2009-10-28 Kunihiko Kaneko

We investigate numerically the transition between static equilibrium and dynamic surface flow of a 2D cohesionless granular system driven by a continuous gravity loading. This transition is characterized by intermittent local dynamic…

Condensed Matter · Physics 2009-11-07 Lydie Staron , Jean-Pierre Vilotte , Farhang Radjai

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Objects driven through periodically modulated potential-energy landscapes in two dimensions can become locked in to symmetry-selected directions that are independent of the driving force's orientation. We investigate this problem in the…

Soft Condensed Matter · Physics 2007-05-23 Kosta Ladavac , Matthew Pelton , David G. Grier

Phase separation routinely occurs in both living and synthetic systems. These phases are often complex and distinguished by features including crystallinity, nematic order, and a host of other nonconserved order parameters. For systems at…

Statistical Mechanics · Physics 2025-12-08 Daniel Evans , Ahmad K. Omar

Using kinetic Monte Carlo simulations, we show that molecular morphologies found in non-equilibrium growth can be strongly different from those at equilibrium. We study the prototypical hybrid inorganic-organic system 6P on ZnO(10-10)…

Soft Condensed Matter · Physics 2016-12-21 Nicola Kleppmann , Sabine H. L. Klapp

We determine the characteristic length scale, $L(t)$, in phase ordering kinetics for both scalar and vector fields, with either short- or long-range interactions, and with or without conservation laws. We obtain $L(t)$ consistently by…

Condensed Matter · Physics 2009-10-22 A. J. Bray , A. D. Rutenberg

We theoretically and numerically investigate a two-dimensional O(2) model where an order parameter is convected by shear flow. We show that a long-range phase order emerges in two dimensions as a result of anomalous suppression of phase…

Statistical Mechanics · Physics 2021-04-28 Hiroyoshi Nakano , Yuki Minami , Shin-ichi Sasa

Non-reciprocal systems exhibit diverse dynamical phases whose character depends on the type and degree of non-reciprocity. In this study, we theoretically investigate dynamical structures in a mixture of non-reciprocally aligning polar…

Soft Condensed Matter · Physics 2024-12-20 Kim L. Kreienkamp , Sabine H. L. Klapp

The hierarchy of channel networks in landscapes displays features that are characteristic of non-equilibrium complex systems. Here we show that a sequence of increasingly complex ridge and valley networks is produced by a system of partial…

Geophysics · Physics 2019-05-09 Sara Bonetti , Milad Hooshyar , Carlo Camporeale , Amilcare Porporato

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighbouring particles is greater than a given threshold. In a certain range of parameters the model exhibits…

Statistical Mechanics · Physics 2019-07-03 Adam Lipowski , Dorota Lipowska

This short review covers a wide selection of topics from a multidisciplinary area of dynamics of nonequilibrium systems in physics, chemistry, biology. Theoretical models of colloid particle and protein deposition and adhesion at surfaces,…

Condensed Matter · Physics 2007-05-23 Vladimir Privman

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like…

Soft Condensed Matter · Physics 2009-10-31 J. S. Olafsen , J. S. Urbach

Understanding systems level behaviour of many interacting agents is challenging in various ways, here we'll focus on the how the interaction between components can lead to hierarchical structures with different types of dynamics, or…

Populations and Evolution · Quantitative Biology 2018-12-26 Henrik Jeldtoft Jensen

A simple model of oscillator chain with dynamical traps and additive white noise is considered. Its dynamics was studied numerically. As demonstrated, when the trap effect is pronounced nonequilibrium phase transitions of a new type arise.…

Statistical Mechanics · Physics 2009-11-10 Ihor Lubashevsky , Reinhard Mahnke , Morteza Hajimahmoodzadeh , Albert Katsnelson

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta

We study numerically the phase-ordering kinetics of the two-dimensional site-diluted Ising model. The data can be interpreted in a framework motivated by renormalization-group concepts. Apart from the usual fixed point of the non-diluted…

Statistical Mechanics · Physics 2013-12-10 Federico Corberi , Eugenio Lippiello , Anupam Mukherjee , Sanjay Puri , Marco Zannetti

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
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