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Real space condensation is known to occur in stochastic models of mass transport in the regime in which the globally conserved mass density is greater than a critical value. It has been shown within models with factorised stationary states…

Statistical Mechanics · Physics 2014-11-04 Juraj Szavits-Nossan , Martin R. Evans , Satya N. Majumdar

The transport and deformation of confined droplets and flexible capsules are central to diverse phenomena and applications, from biological flows in microcapillaries to industrial processes in porous media. Inspired by experiments, we…

Non-equilibrium real-space condensation is a phenomenon in which a finite fraction of some conserved quantity (mass, particles, etc.) becomes spatially localised. We review two popular stochastic models of hopping particles that lead to…

Statistical Mechanics · Physics 2015-09-09 M. R. Evans , B. Waclaw

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

Physics and Society · Physics 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

The dynamics of a class of zero-range processes exhibiting a condensation transition in the stationary state is studied. The system evolves in time starting from a random disordered initial condition. The analytical study of the large-time…

Statistical Mechanics · Physics 2016-08-31 C. Godreche

Fluid phase equilibrium depends on the external constraints imposed on a system. In a closed system with fixed volume, depending on the average density, a vapor bubble may be stable, metastable, or unstable, with respect to the homogeneous…

Soft Condensed Matter · Physics 2026-02-24 Frederic Caupin , Alberto Zaragoza , Miguel A. Gonzalez , Chantal Valeriani

We show that the rate of separation of two phases of different densities (e.g. gas and solid) can be radically altered by the presence of a metastable intermediate phase (e.g. liquid). Within a Cahn-Hilliard theory we study the growth in…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon , M. E. Cates

We study a conserved mass aggregation model with mass-dependent fragmentation in one dimension. In the model, the whole mass $m$ of a site isotropically diffuse with unit rate. With rate $\omega$, a mass $m^{\lambda}$ is fragmented from the…

Statistical Mechanics · Physics 2015-05-13 Dong-Jin Lee , Sungchul Kwon , Yup Kim

We examine the steady state of turbulent flows in thin layers using direct numerical simulations. It is shown that when the layer thickness is smaller than a critical height, an inverse cascade arises which leads to the formation of a…

Fluid Dynamics · Physics 2019-03-14 Adrian van Kan , Alexandros Alexakis

Condensation is the phenomenon whereby one of a sum of random variables contributes a finite fraction to the sum. It is manifested as an aggregation phenomenon in diverse physical systems such as coalescence in granular media, jamming in…

Statistical Mechanics · Physics 2014-01-20 Juraj Szavits-Nossan , Martin R. Evans , Satya N. Majumdar

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic…

Fluid Dynamics · Physics 2020-01-29 Jens C. Zahnow , Ulrike Feudel

The relative phase of the order parameters in the collision of two condensates can influence the outcome of their collision in the case of weak coupling. With increasing interaction strength however, the initially independent phases of the…

Nuclear Theory · Physics 2017-08-02 Aurel Bulgac , Shi Jin

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

Statistical Mechanics · Physics 2022-04-01 Santi Prestipino , Gabriele Costa

Two-dimensional turbulence self-organizes through a process of energy accumulation at large scales, forming a coherent flow termed a condensate. We study the condensate in a model with local dynamics, the large-scale quasi-geostrophic…

Fluid Dynamics · Physics 2023-12-05 Anton Svirsky , Corentin Herbert , Anna Frishman

For stochastic processes leading to condensation, the condensate, once it is formed, performs an ergodic stationary-state motion over the system. We analyse this motion, and especially its characteristic time, for zero-range processes. The…

Statistical Mechanics · Physics 2007-05-23 C. Godreche , J. M. Luck

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

Within the coexistence region between liquid and vapor the equilibrium pressure of a simulated fluid exhibits characteristic jumps and plateaus when plotted as a function of density at constant temperature. These features exclusively…

Statistical Mechanics · Physics 2015-09-09 S. Prestipino , C. Caccamo , D. Costa , G. Malescio , G. Munaò

Condensation in linear wedges formed by semi-infinite walls is a well-established critical phenomenon characterized by the continuous growth of an adsorbed liquid layer as bulk two-phase coexistence is approached. In this study, we…

Soft Condensed Matter · Physics 2025-05-06 Jiří Janek , Alexandr Malijevský

The collective effects of microswimmers in active suspensions result in active turbulence, a spatiotemporally chaotic dynamics at mesoscale, which is characterized by the presence of vortices and jets at scales much larger than the…

Fluid Dynamics · Physics 2020-02-24 Moritz Linkmann , M. Cristina Marchetti , Guido Boffetta , Bruno Eckhardt