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The recently developed Perturbed-Chain Statistical Associating Fluid Theory (PC-SAFT) is investigated for a wide range of model parameters including the parameter m representing the chain length and the thermodynamic temperature T and…

Soft Condensed Matter · Physics 2009-11-11 L. Yelash , M. Mueller , W. Paul , K. Binder

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur…

Numerical Analysis · Mathematics 2025-03-24 Zhaoyang Wang , Huaxiong Huang , Ping Lin , Shixin Xu

We study the dynamics of the one-dimensional $\varepsilon$-dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of $N$ transition layers, that in general does not conserve mass. Two different settings are…

Analysis of PDEs · Mathematics 2024-12-30 Dimitra Antonopoulou , Georgia Karali , Konstantinos Tzirakis

Spreading processes on top of active dynamics provide a novel theoretical framework for capturing emerging collective behavior in living systems. I consider run-and-tumble dynamics coupled with coagulation/decoagulation reactions that lead…

Statistical Mechanics · Physics 2025-05-29 Matteo Paoluzzi

We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

Fluid Dynamics · Physics 2018-02-14 Juan J. Hidalgo , Marco Dentz

A combination of first principle molecular dynamics (MD) simulations with a rate equation model (MD-RE approach) is presented to study the trapping and the scattering of rare gas atoms from metal surfaces. The temporal evolution of the atom…

Statistical Mechanics · Physics 2018-09-10 A Filinov , M Bonitz , D Loffhagen

A new generation of experiments on dry macroscopic friction has revealed that the transition from static to dynamic friction is essentially a spatially and temporally non-uniform process, initiated by a rupture-like detachment front. We…

Materials Science · Physics 2011-11-23 Naum I. Gershenzon , Gust Bambakidis

The effect of introducing a mass dependent diffusion rate ~ m^{-alpha} in a model of coagulation with single-particle break up is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Dibyendu Das , Bulbul Chakraborty , Mustansir Barma

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined…

chao-dyn · Physics 2009-10-31 M. Cencini , G. Lacorata , A. Vulpiani , E. Zambianchi

We use extreme value statistics to study the dynamics of coarsening in aggregation-fragmentation models which form condensates in the steady state. The dynamics is dominated by the formation of local condensates on a coarsening length scale…

Statistical Mechanics · Physics 2023-03-27 Chandrashekar Iyer , Arghya Das , Mustansir Barma

When water molecules are confined to nanoscale spacings, such as in the nanometer size pores of activated carbon fiber (ACF), their freezing point gets suppressed down to very low temperatures ($\sim$ 150 K), leading to a metastable liquid…

Soft Condensed Matter · Physics 2015-06-23 S. O. Diallo , L. Vlcek , E. Mamontov , J. K. Keum , Jihua Chen , J. S. Hayes , A. A. Chialvo

How phase transitions affect the motion of moist atmospheric air remains controversial. In the early 2000s two distinct differential equations of motion were proposed. Besides their contrasting formulations for the acceleration of…

Recently, it was shown that spatial correlations may have a drastic effect on the dynamics of real-space condensates in driven mass-transport systems: in models with a spatially correlated steady state, the condensate is quite generically…

Statistical Mechanics · Physics 2015-10-09 Ori Hirschberg , David Mukamel

We study a system of particles which jump on the sites of the interval $[1,L]$ of $\mathbb Z$. The density at the boundaries is kept fixed to simulate the action of mass reservoirs. The evolution depends on two parameters $\lambda'\ge 0$…

Statistical Mechanics · Physics 2017-10-25 Matteo Colangeli , Anna De Masi , Errico Presutti

We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

Analysis of PDEs · Mathematics 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig

We derive hydrodynamics of a prototypical one dimensional model, having variable-range hopping, which mimics passive diffusion and ballistic motion of active, or self-propelled, particles. The model has two main ingredients - the hardcore…

Statistical Mechanics · Physics 2020-05-27 Tanmoy Chakraborty , Subhadip Chakraborti , Arghya Das , Punyabrata Pradhan

The transport coefficients of a dilute classical gas in the presence of a drag force proportional to the velocity of the particle are determined from the Boltzmann equation. The viscous drag force could model the friction of solid particles…

Statistical Mechanics · Physics 2015-06-18 José Carlos Pérez-Fuentes , Vicente Garzó

Nuclear liquid-gas phase transitions are investigated in the framework of static antisymmetrized molecular dynamics (static AMD) model under either a constant volume or a constant pressure. A deuteron quadrupole momentum fluctuation…

Nuclear Theory · Physics 2021-06-24 W. Lin , P. Ren , X. Liu , H. Zheng , M. Huang , G. Qu , R. Wada

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

We study the phenomenon of real space condensation in the steady state of a class of one dimensional mass transport models. We derive the criterion for the occurrence of a condensation transition and analyse the precise nature of the shape…

Statistical Mechanics · Physics 2009-11-11 Satya N. Majumdar , M. R. Evans , R. K. P. Zia