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Related papers: Aggregation-Fragmentation Processes with Broken De…

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The emergence of clustering and coarsening in crowded ensembles of self-propelled agents is studied using a lattice model in one-dimension. The persistent exclusion process, where particles move at directions that change randomly at a low…

Statistical Mechanics · Physics 2016-08-24 Nestor Sepulveda , Rodrigo Soto

We study here one-dimensional model of aggregation and fragmentation of clusters of particles obeying the stochastic discrete-time kinetics of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. Isolated…

Statistical Mechanics · Physics 2019-09-04 N. Zh. Bunzarova , N. C. Pesheva , J. G. Brankov

We investigate a system of interacting clusters evolving through mass exchange and supplemented by input of small clusters. Three possibilities depending on the rate of exchange generically occur when input is homogeneous: continuous…

Statistical Mechanics · Physics 2015-06-09 P. L. Krapivsky

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

Statistical Mechanics · Physics 2009-10-31 O. J. O'Loan , M. R. Evans

We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates…

Probability · Mathematics 2026-03-03 Joshua Blank , Paul Chleboun , Stefan Grosskinsky , Watthanan Jatuviriyapornchai

We study diffusion of hardcore particles on a one dimensional periodic lattice subjected to a constraint that the separation between any two consecutive particles does not increase beyond a fixed value $(n+1);$ initial separation larger…

Statistical Mechanics · Physics 2017-02-01 Arijit Chatterjee , P. K. Mohanty

A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly correlated particle distributions and a phase of strongly…

Statistical Mechanics · Physics 2009-10-31 Ofer Biham , Ofer Malcai , Daniel A. Lidar , David Avnir

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

We study the cooperative rupture of multiple adhesion bonds under shared linear loading. Simulations of the appropriate Master equation are compared with numerical integration of a rate equation for the mean number of bonds and its scaling…

Soft Condensed Matter · Physics 2007-05-23 T. Erdmann , U. S. Schwarz

Homogeneous mass fragmentation processes describe the evolution of a unit mass that breaks down randomly into pieces as time. Mathematically speaking, they can be thought of as continuous-time analogues of branching random walks with…

Probability · Mathematics 2015-07-07 Andreas E. Kyprianou , Thomas Madaule

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

Statistical Mechanics · Physics 2015-06-17 Himani Sachdeva , Mustansir Barma

Condensation occurs in nonequilibrium steady states when a finite fraction of particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The…

Statistical Mechanics · Physics 2009-11-10 A. G. Angel , M. R. Evans , D. Mukamel

Growth-fragmentation processes describe the evolution of systems in which cells grow slowly and fragment suddenly. Despite originating as a way to describe biological phenomena, they have recently been found to describe the lengths of…

Probability · Mathematics 2023-06-08 Alexander R. Watson

We study mass fluxes in aggregation models where mass transfer to large scales by aggregation occurs alongside desorption or fragmentation. Two models are considered. (1) A system of diffusing, aggregating particles with influx and outflux…

Statistical Mechanics · Physics 2009-11-13 Colm Connaughton , R. Rajesh , Oleg Zaboronski

Coagulation and fragmentation (CF) is a fundamental process by which particles attach to each other to form clusters while existing clusters break up into smaller ones. It is a ubiquitous process that plays a key role in many physical and…

Statistical Mechanics · Physics 2020-12-22 Farid Manuchehrfar , Wei Tian , Tom Chou , Jie Liang

We introduce and analyse a class of fragmentation-coalescence processes defined on finite systems of particles organised into clusters. Coalescent events merge multiple clusters simultaneously to form a single larger cluster, while…

Probability · Mathematics 2017-01-31 Andreas E. Kyprianou , Steven W. Pagett , Tim Rogers

The spontaneous symmetry breaking in a vibro-fluidized low-density granular gas in three connected compartments is investigated. When the total number of particles in the system becomes large enough, particles distribute themselves…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , R. Garcia-Rojo , F. Moreno , M. J. Ruiz-Montero

The cellular automaton model is used to simulate diffusion and aggregation with dissociation of point particles in 2D. A continuous phase transition is found that separates creation of compact aggregates and fractal ones. The transition is…

Computational Physics · Physics 2015-04-17 Yuriy G. Gordienko , Elena E. Zasimchuk

We study a random aggregation process involving rectangular clusters. In each aggregation event, two rectangles are chosen at random and if they have a compatible side, either vertical or horizontal, they merge along that side to form a…

Statistical Mechanics · Physics 2018-10-17 D. S. Ben-Naim , E. Ben-Naim , P. L. Krapivsky

We revisit a simple lattice model of aggregation in which masses diffuse and coalesce upon contact with rate 1 and every nonzero mass chips off a single unit of mass to a randomly chosen neighbour with rate $w$. The dynamics conserves the…

Statistical Mechanics · Physics 2009-10-31 R. Rajesh , Satya N. Majumdar