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The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

Statistical Mechanics · Physics 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times, but anomalous…

Subcellular Processes · Quantitative Biology 2007-06-06 Dietrich Stauffer , Christian Schulze , Dieter W. Heermann

We examine the effect of spatial correlations on the phenomenon of real-space condensation in driven mass-transport systems. We suggest that in a broad class of models with a spatially correlated steady state, the condensate drifts with a…

Statistical Mechanics · Physics 2015-06-12 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the…

Probability · Mathematics 2025-01-07 Watthanan Jatuviriyapornchai , Stefan Grosskinsky

We consider two sequential models of deposition and aggregation for particles. The first model (No Diffusion) simulates surface diffusion through a deterministic capture area, while the second (Sequential Diffusion) allows the atoms to…

Materials Science · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

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 discuss statics and dynamics of condensation in a zero-range process with compartments of limited sizes. For the symmetric dynamics the stationary state has a factorized form. For the asymmetric dynamics the steady state factorizes only…

Statistical Mechanics · Physics 2014-02-25 Artem Ryabov

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

We study the evolution of the interface given by two incompressible fluids with different densities in the porous strip $\RR\times[-l,l]$. This problem is known as the Muskat problem and is analogous to the two phase Hele-Shaw cell. The…

Analysis of PDEs · Mathematics 2013-01-21 Diego Córdoba Gazolaz , Rafael Granero-Belinchón , Rafael Orive Illera

We analyze the role of the interplay between on-site interaction and inhomogeneous diffusion on the phenomenon of condensation in the zero-range process. We predict a universal phase diagram in the plane of two exponents, respectively…

Statistical Mechanics · Physics 2012-12-17 C. Godreche , J. M. Luck

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

We study a driven zero range process which models a closed system of attractive particles that hop with site-dependent rates and whose steady state shows a condensation transition with increasing density. We characterise the dynamical…

Statistical Mechanics · Physics 2009-11-10 Kavita Jain , Mustansir Barma

Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

We present the theory of bosonic systems with multiple condensates, unifying disparate models which are found in the literature, and discuss how degeneracies, interactions, and symmetries conspire to give rise to this unusual behavior. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Erich J. Mueller , Tin-Lun Ho , Masahito Ueda , Gordon Baym

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

Statistical Mechanics · Physics 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

The condensation transition, leading to complete mutual synchronization in large populations of globally coupled chaotic Roessler oscillators, is investigated. Statistical properties of this transition and the cluster structure of partially…

adap-org · Physics 2009-10-30 D. H. Zanette , A. S. Mikhailov

We study a system of diffusing-aggregating particles with deposition and evaporation of monomers. By combining theoretical and numerical methods, we establish a clearer understanding of the non-equilibrium phase transition known to occur in…

Statistical Mechanics · Physics 2015-05-19 Colm Connaughton , R. Rajesh , Oleg Zaboronski

Percolation theory is applied to the phase-transition dynamics of domain pattern formation in segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Our finite-size-scaling analysis shows that the percolation…

Quantum Gases · Physics 2015-10-14 Hiromitsu Takeuchi , Yumiko Mizuno , Kentaro Dehara

We study condensation in one-dimensional transport models with a kinetic constraint. The kinetic constraint results in clustering of immobile vehicles; these clusters can grow to macroscopic condensates, indicating the onset of dynamic…

Statistical Mechanics · Physics 2015-06-18 Daniel Miedema , Astrid de Wijn , Peter Schall

We present a novel method for the accurate numerical determination of the phase behavior of fluid mixtures having large particle size asymmetries. By incorporating the recently developed geometric cluster algorithm within a restricted Gibbs…

Soft Condensed Matter · Physics 2007-05-23 Jiwen Liu , Nigel B. Wilding , Erik Luijten