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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

In order to explore the effects of climate change on atmospheric convection and the water cycle, we develop and analyse an extension of the Rainy-B\'enard model, which is itself a moist version of the Rayleigh-B\'enard model of dry…

Fluid Dynamics · Physics 2025-04-09 Gregory N. Dritschel , Steven M. Tobias , Douglas J. Parker , Lorenzo Tomassini

We develop a continuum description of partially fluidized granular flows. Our theory is based on the hydrodynamic equation for the flow coupled with the order parameter equation which describes the transition between flowing and static…

Soft Condensed Matter · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring

We present here a simple model describing coexistence of solid and vapour phases. The two phases are separated by an interface. We show that when the concentration of supersaturated vapour reaches the dew-point, the droplet of solid is…

Mathematical Physics · Physics 2007-11-01 Dmitry Ioffe , Senya Shlosman

We present an analytical emission model that accurately predicts the properties of effusive sources formed by long collimation tubes. By construction, it captures the full range of molecular flow, from the transparent flux regime, which…

Atomic Physics · Physics 2026-05-13 I. N. Ashkarin , J. Cheayto , P. Cheinet , D. Comparat , S. Lepoutre

We introduce a solvable stochastic model inspired by granular gases for driven dissipative systems. We characterize far from equilibrium steady states of such systems through the non-Boltzmann energy distribution and compare different…

Statistical Mechanics · Physics 2007-05-23 Yair Srebro , Dov Levine

Pressure-solution is a chemo-mechanical process, involving dissolution at grain/asperity contacts and precipitation away from them. It induces a compaction in time of rocks and sediments. The present study investigates numerically the…

Materials Science · Physics 2026-03-31 Alexandre Sac-Morane , Hadrien Rattez , Manolis Veveakis

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

Cobalt-based alloys with {\gamma}/{\gamma}' microstructures have the potential to become the next generation of superalloys, but alloy compositions and processing steps must be optimized to improve coarsening, creep, and rafting behavior.…

The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single…

Fluid Dynamics · Physics 2023-08-11 Christopher Henkel , Jacco H. Snoeijer , Uwe Thiele

This work presents a hierarchical model for solute transport in bounded layered porous media with random permeability. The model generalizes the Taylor-Aris dispersion theory to stochastic transport in random layered porous media with a…

Fluid Dynamics · Physics 2018-07-27 Zhijie Xu , Alexandre M. Tartakovsky

It is shown that the critical properties of a recently studied model for non-equilibrium wetting are robust if one extends the dynamic rules by single-particle diffusion on terraces of the wetting layer. Examining the behavior at the…

Statistical Mechanics · Physics 2016-08-16 S. Rössner , H. Hinrichsen

Agitated wet granular matter can be considered as a nonequilibrium model system for phase transitions, where the macroscopic particles replace the molecules and the capillary bridges replace molecular bonds. It is demonstrated…

Soft Condensed Matter · Physics 2013-12-06 Christopher May , Michael Wild , Ingo Rehberg , Kai Huang

General dynamical transport of classical particles in disordered quasi-1D samples is viewed in the framework of scattering approach. Simple equation for the transfer-matrix is obtained within this unified picture. In the case of diffusive…

Condensed Matter · Physics 2008-02-03 Eugene Kogan

The dynamics of evaporation of wetting droplets has been investigated experimentally in an extended range of drop sizes, in order to provide trends relevant for a theoretical analysis. A model is proposed, which generalises Tanner's law,…

Soft Condensed Matter · Physics 2016-08-16 Christophe Poulard , Geoffroy Guéna , Anne-Marie Cazabat , A. Boudaoud , M. Ben Amar

We develop a novel `moving capacitor' dynamic network model to simulate immiscible fluid-fluid displacement in porous media. Traditional network models approximate the pore geometry as a network of fixed resistors, directly analogous to an…

In this paper, we address the well-posedness of an evaporation model for a spherical liquid droplet taking into account the convective impact of an air flow in the ambient gas phase. From a mathematical perspective, we are dealing with a…

Analysis of PDEs · Mathematics 2023-12-13 Eberhard Bänsch , Martin Doß , Carsten Gräser , Nadja Ray

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

Film flow through networks of corners and capillary bridges can establish connections between seemingly isolated clusters during drainage in porous media. Coupled with drainage through the bulk of pores and throats, the flow through these…

It has been suggested recently that growth and division of a protocell could be modeled by a chemically active droplet with simple chemical reactions driven by an external fuel supply. This model is called the continuum model. Indeed it's…

Biological Physics · Physics 2018-12-07 Mohammad Abu Hamed , Alexander A. Nepomnyashchy
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