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Motivated by recent findings, we discuss the existence of a direct and robust mechanism providing discontinuous absorbing transitions in short range systems with single species, with no extra symmetries or conservation laws. We consider…

Statistical Mechanics · Physics 2014-02-10 Carlos E. Fiore

We observed a phase transition-like behavior that is marked by the onset of the realization of the connectivity between two sites on a two-dimensional cross-section of a three-dimensional percolation cluster. This was found using…

Disordered Systems and Neural Networks · Physics 2009-11-07 Nira Shimoni , Doron Azulai , Isaac Balberg , Oded Millo

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a…

Statistical Mechanics · Physics 2008-02-03 Supriya Krishnamurthy , Satya N. Majumdar , Mustansir Barma

In this paper we consider three classes of interacting particle systems on $\mathbb Z$: independent random walks, the exclusion process, and the inclusion process. We allow particles to switch their jump rate (the rate identifies the type…

Recently for a class of critically intermittent random systems a phase transition was found for the finiteness of the absolutely continuous invariant measure. The systems for which this result holds are characterized by the interplay…

Dynamical Systems · Mathematics 2022-07-25 Benthen Zeegers

For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a…

Soft Condensed Matter · Physics 2020-08-10 Jack O. Law , Jacob M. Dean , Mark A. Miller , Halim Kusumaatmaja

We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

Statistical Mechanics · Physics 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

Mathematical Physics · Physics 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

Two-dimensional (2D) particulate aggregates formed due to competing interactions exhibit a range of non-equilibrium steady state morphologies from finite-size compact crystalline structures to non-compact string-like conformations. We…

Soft Condensed Matter · Physics 2015-05-22 Tamoghna Das , T. Lookman , M. M. Bandi

This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of individuals migrating between and interacting…

Probability · Mathematics 2007-09-09 Don A. Dawson , Andreas Greven , Frank den Hollander , Rongfeng Sun , Jan M. Swart

We study binary mixtures of small active and big passive athermal particles interacting via soft repulsive forces on a frictional substrate. Athermal self propelled particles are known to phase separate into a dense aggregate and a dilute…

Soft Condensed Matter · Physics 2018-07-05 Pritha Dolai , Aditi Simha , Shradha Mishra

A one-dimensional reaction-diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and…

Statistical Mechanics · Physics 2009-11-13 F H Jafarpour , B Ghavami

We present results from density functional theory and computer simulations that unambiguously predict the occurrence of first-order freezing transitions for a large class of ultrasoft model systems into cluster crystals. The clusters…

Soft Condensed Matter · Physics 2009-11-11 Bianca M. Mladek , Dieter Gottwald , Gerhard Kahl , Martin Neumann , Christos N. Likos

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

Statistical Mechanics · Physics 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

Using numerical simulations, we study the dynamical evolution of particles interacting via competing long-range repulsion and short-range attraction in two dimensions. The particles are compressed using a time-dependent quasi-one…

Soft Condensed Matter · Physics 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

We examine a non-reciprocally coupled dynamical model of a mixture of two diffusing species. We demonstrate that nonreciprocity, which is encoded in the model via antagonistic cross diffusivities, provides a generic mechanism for the…

Soft Condensed Matter · Physics 2020-08-21 Zhihong You , Aparna Baskaran , M. Cristina Marchetti