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Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

With the help of Monte Carlo simulations and a mean-field theory, we investigate the ordered steady-state structures resulting from the motion of a single vacancy on a periodic lattice which is filled with two species of oppositely…

Statistical Mechanics · Physics 2009-10-31 M. Thies , B. Schmittmann

Actively propelled particles undergoing dissipative collisions are known to develop a state of spatially distributed coherently moving clusters. For densities larger than a characteristic value clusters grow in time and form a stationary…

Soft Condensed Matter · Physics 2013-04-23 Christoph A. Weber , Florian Thüroff , Erwin Frey

Colloidal particles are not simple rigid particles, in general an isolated particle is a system with many degrees of freedom in its own right, e.g., the counterions around a charged colloidal particle.The behaviour of model colloidal…

Statistical Mechanics · Physics 2009-10-31 Richard P. Sear

Dense suspensions of deformable particles can exhibit rich nonequilibrium dynamics arising from complex flow-structure coupling. Using a multi-phase field model, we show that steady shear drives an initially disordered, dense, soft…

Soft Condensed Matter · Physics 2026-02-10 Ioannis Hadjifrangiskou , Rahil N. Valani , Diogo E. P. Pinto

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a…

Statistical Mechanics · Physics 2009-10-30 Siegfried Clar , Barbara Drossel , Klaus Schenk , Franz Schwabl

We theoretically investigate the full time evolution of a nonequilibrium double quantum dot structure from initial conditions corresponding to different product states (no entanglement between dot and lead) to a nonequilibrium steady state.…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 R. Härtle , A. J. Millis

We study a system of interacting self-propelled particles whose walking velocity depends on the stage of the locomotion cycle. The model introduces a phase equation in the optimal velocity model for vehicular traffic. We find that the…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Ryosuke Nishi , Daichi Yanagisawa , Katsuhiro Nishinari

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially…

Pattern Formation and Solitons · Physics 2022-02-22 Frederik J. Thomsen , Lisa Rapp , Fabian Bergmann , Walter Zimmermann

We study the phase ordering dynamics of a two dimensional model colloidal solid using molecular dynamics simulations. The colloid particles interact with each other with a Hamaker potential modified by the presence of equatorial "patches"…

Disordered Systems and Neural Networks · Physics 2014-12-30 Chandana Mondal , Smarajit Karmakar , Surajit Sengupta

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

Statistical Mechanics · Physics 2017-01-10 Urna Basu

Understanding the organization of collective motion in biological systems is an ongoing challenge. In this Paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish,…

Biological Physics · Physics 2015-06-04 Shradha Mishra , Kolbjørn Tunstrøm , Iain D. Couzin , Cristián Huepe

We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many…

Quantum Physics · Physics 2020-05-27 Paula I. Villar , Alejandro Soba

We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many constituents the coexistence of several ergodic components…

adap-org · Physics 2009-10-30 R. Muller , K. Lippert , A. Kuhnel , U. Behn

When short-range attractions are combined with long-range repulsions in colloidal particle systems, complex microphases can emerge. Here, we study a system of isotropic particles which can form lamellar structures or a disordered fluid…

Soft Condensed Matter · Physics 2021-07-07 Jakub Pękalski , Wojciech Rządkowski , Athanassios Z. Panagiotopoulos

A modified phase field crystal model in which the free energy may be minimised by an order parameter profile having isolated bumps is investigated. The phase diagram is calculated in one and two dimensions and we locate the regions where…

Soft Condensed Matter · Physics 2012-08-31 Mark J. Robbins , Andrew J. Archer , Uwe Thiele , Edgar Knobloch

When interfaces between ordered domains are ordered clusters, frustration disappears. A phase with mixed ordered structures emerges but no length scale can be associated to. We show that sum of densities of each structure plays the role of…

Statistical Mechanics · Physics 2010-05-13 Y. Boughaleb , M. Noureddine , R. Nassif

A system of two charged particles in a harmonic trap with additional magnetic field is considered. The problem is reduced to a single-particle one in relative coordinates. The ground- and lowest excited-state energies and wave functions are…

Quantum Physics · Physics 2013-10-16 Maciej Janowicz , Jan Mostowski

In this work we study a kinetic model of active particles with delayed dynamics, and its limit when the number of particles goes to infinity. This limit turns out to be related to delayed differential equations with random initial…

Analysis of PDEs · Mathematics 2020-06-17 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach