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A deterministic coalescing dynamics with constant rate for a particle system in a finite volume with a fixed initial number of particles is considered. It is shown that, in the thermodynamic limit, with the constraint of fixed density, the…

Mathematical Physics · Physics 2011-10-14 Miguel Escobedo , Federica Pezzotti

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

Statistical Mechanics · Physics 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

By studying numerically the phase-ordering kinetics of a two-dimensional ferromagnetic Ising model with quenched disorder -- either random bonds or random fields -- we show that a critical percolation structure forms in an early stage and…

Statistical Mechanics · Physics 2017-02-06 Federico Corberi , Leticia F. Cugliandolo , Ferdinando Insalata , Marco Picco

It is known that similar physical systems can reveal two quite different ways of behavior, either coarsening, which creates a uniform state or a large-scale structure, or formation of ordered or disordered patterns, which are never…

Statistical Mechanics · Physics 2015-03-16 A. A. Nepomnyashchy

The steady-state distributions and dynamical behaviour of Zero Range Processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first…

Statistical Mechanics · Physics 2008-04-30 Yonathan Schwarzkopf , M. R. Evans , David Mukamel

The fluctuations in the particle size distribution for processes of fragmentation and aggregation are studied for stationary state regimes. The system is described in terms of a stochastic process over an adequate tree structure. The RMS…

chao-dyn · Physics 2009-10-28 Piero Olla

We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of additional spontaneous fragmentation events. We consider both…

Statistical Mechanics · Physics 2019-05-28 Anna S. Bodrova , Vladimir Stadnichuk , P. L. Krapivsky , Jürgen Schmidt , Nikolai V. Brilliantov

A condensation transition was predicted for growing technological networks evolving by preferential attachment and competing quality of their nodes, as described by the fitness model. When this condensation occurs a node acquires a finite…

Statistical Mechanics · Physics 2009-11-13 Luca Ferretti , Ginestra Bianconi

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

We propose and investigate a simple model which describes the kinetics of aggregation of Brownian particles with stochastic self-replication. An exact solution and the scaling theory are presented alongside numerical simulation which fully…

Statistical Mechanics · Physics 2013-10-28 M. K. Hassan , M. Z. Hassan , N. Islam

We explore prethermal Floquet steady states and instabilities of the weakly interacting two-dimensional Bose-Hubbard model subject to periodic driving. We develop a description of the nonequilibrium dynamics, at arbitrary drive strength and…

Quantum Gases · Physics 2015-11-17 Marin Bukov , Sarang Gopalakrishnan , Michael Knap , Eugene Demler

We investigate the coarsening dynamics in the two-dimensional Hamiltonian XY model on a square lattice, beginning with a random state with a specified potential energy and zero kinetic energy. Coarsening of the system proceeds via an…

Statistical Mechanics · Physics 2007-05-23 Kyo-Joon Koo , Woon-Bo Baek , Bongsoo Kim , Sung Jong Lee

The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at…

Quantum Physics · Physics 2022-04-13 Miguel Alvarez , Jose Reslen

The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks. A real space complete condensation phase transition in the stationary state may occur. We have…

Statistical Mechanics · Physics 2019-11-05 Guifeng Su , Xiaowen Li , Yi Zhang , Xiaobing Zhang

We investigate the fluctuations of cumulative density of particles in the asymmetric simple exclusion process with respect to the stationary distribution (also known as the steady state), as a stochastic process indexed by $[0,1]$. In three…

Probability · Mathematics 2019-12-30 Włodzimierz Bryc , Yizao Wang

We consider a continuum aggregation model with nonlinear local repulsion given by a degenerate power-law diffusion with general exponent. The steady states and their properties in one dimension are studied both analytically and numerically,…

Analysis of PDEs · Mathematics 2014-03-17 Martin Burger , Razvan Fetecau , Yanghong Huang

We investigate the strong out-of-equilibrium dynamics occurring when a harmonically trapped ultracold bosonic gas is evaporatively cooled across the Bose--Einstein condensation transition. By imaging the cloud after free expansion, we study…

Quantum Gases · Physics 2022-03-29 Wolswijk L. , Mordini C. , Farolfi A. , Trypogeorgos D. , Dalfovo F. , Zenesini A. , Ferrari G. , Lamporesi G

We exactly calculate two-point spatial correlation functions in steady state in a broad class of conserved-mass transport processes, which are governed by chipping, diffusion and coalescence of masses. We find that the spatial correlations…

Statistical Mechanics · Physics 2016-06-28 Arghya Das , Sayani Chatterjee , Punyabrata Pradhan

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1d lattice with a rate which increases with the number of particles at interacting sites. We find that clusters of particles, which initially…

Statistical Mechanics · Physics 2015-05-30 Bartlomiej Waclaw , Martin R. Evans

We present large-scale molecular dynamics simulations to study the free evolution of granular gases. Initially, the density of particles is homogeneous and the velocity follows a Maxwell-Boltzmann (MB) distribution. The system cools down…

Statistical Mechanics · Physics 2016-09-21 Prasenjit Das , Sanjay Puri , Moshe Schwartz