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Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

Buoyancy-thermocapillary convection in a layer of volatile liquid driven by a horizontal temperature gradient arises in a variety of situations. Recent studies have shown that the composition of the gas phase, which is typically a mixture…

Fluid Dynamics · Physics 2018-01-16 Roman O. Grigoriev , Tongran Qin

A Marangoni surfer is an object embedded in a gas-liquid interface, propelled by gradients in surface tension. We derive an analytical theorem for the lower bound on the viscous dissipation by a Marangoni surfer in the limit of small…

Fluid Dynamics · Physics 2024-05-15 Abdallah Daddi-Moussa-Ider , Ramin Golestanian , Andrej Vilfan

Diffusion of molecules in cells plays an important role in providing a biological reaction on the surface by finding a target on the membrane surface. The water retardation (slow diffusion) near the target assists the searching molecules to…

Statistical Mechanics · Physics 2015-09-02 Takuma Akimoto , Kazuhiko Seki

We study diffusion coefficients of liquid domains by explicitly taking into account the two-layered structure called leaflets of the bilayer membrane. In general, the velocity fields associated with each leaflet are different and the layers…

Soft Condensed Matter · Physics 2015-06-18 Kazuhiko Seki , Saurabh Mogre , Shigeyuki Komura

The acceleration of energetic particle transport in high amplitude magnetosonic and Alfvenic turbulence is considered using the method of Monte Carlo particle simulations, involving integration of particle equations of motion. We derive the…

Astrophysics · Physics 2009-09-25 G. Michalek , M. Ostrowski , R. Schlickeiser

The interaction of drops floating on liquid surfaces is important for many natural processes and industrial applications. In many of the cases, the system is multicomponent, leading to Marangoni flows on the surface. Here we investigate the…

Fluid Dynamics · Physics 2025-12-16 Yuan Gao , Yanshen Li

We study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance…

Analysis of PDEs · Mathematics 2008-11-08 Abdelhamid Ainouz

Collective diffusion coefficient in a two-dimensional lattice gas on a nonhomogeneous substrate is investigated using variational approach. Particles reside at adsorption sites with different well depths potentials and jump randomly between…

Statistical Mechanics · Physics 2009-11-13 F Krzyzewski , Magdalena A. Zaluska-Kotur

The approach to calculating the effective dielectric and magnetic response in bounded composite materials is developed. The method is essentially based on the renormalisation of the dielectric matrix parameters to account for the surface…

Materials Science · Physics 2009-11-07 D. P. Makhnovskiy , L. V. Panina , D. J. Mapps , A. K. Sarychev

Guided by computation, we theoretically calculate the steady flow driven by Marangoni stress due to surfactant introduced on a fluid interface at a constant rate. Two separate extreme cases, where the surfactant dynamics is dominated by the…

Fluid Dynamics · Physics 2018-02-06 S. Mandre

In this paper, we study the performance of detectors in a diffusive molecular communication environment where steady uniform flow is present. We derive the expected number of information molecules to be observed in a passive spherical…

Information Theory · Computer Science 2014-10-17 Adam Noel , Karen C. Cheung , Robert Schober

We calculate the effective long-term convective velocity and dispersive motion of an ellipsoidal Brownian particle in three dimensions when it is subjected to a constant external force. This long-term motion results as a "net" average…

Statistical Mechanics · Physics 2018-12-19 Erik Aurell , Stefano Bo , Marcelo Dias , Ralf Eichhorn , Raffaele Marino

We calculate the momentum diffusion coefficient for heavy quarks in SU(3) gluon plasma at temperatures 1-2 times the deconfinement temperature. The momentum diffusion coefficient is extracted from a Monte Carlo calculation of the…

High Energy Physics - Lattice · Physics 2012-11-13 Debasish Banerjee , Saumen Datta , Rajiv V. Gavai , Pushan Majumdar

We introduce non-trivial contributions to diffusion constant in generic many-body systems arising from quadratic fluctuations of ballistically propagating, i.e. convective, modes. Our result is obtained by expanding the current operator in…

Statistical Mechanics · Physics 2020-11-25 Marko Medenjak , Jacopo De Nardis , Takato Yoshimura

Swimming bacteria create long-range velocity fields that stir a large volume of fluid and move around passive particles dispersed in the fluid. Recent experiments and simulations have shown that long-time mean-squared displacement of…

Soft Condensed Matter · Physics 2013-08-20 Alexander Morozov , Davide Marenduzzo

We study diffusion processes in regions generated by sliding a cross section by the phase flow of vector filed on curved spaces of arbitrary dimension. We do this by studying the effective diffusion coefficient D that arises when trying to…

Mathematical Physics · Physics 2020-08-13 Carlos Valero

In this study, we investigated the formation of air-rich microbubbles through local photothermal heating of non-degassed water. When non-degassed water is locally heated, vapor-rich bubbles are initially formed. These bubbles have a maximum…

Fluid Dynamics · Physics 2024-01-17 Kyoko Namura , Takuya Iwasaki , Kaoru Nakajima , Motofumi Suzuki

In this work, the Z-average, effective, apparent diffusion coefficients and their poly-dispersity indexes were investigated for dilute poly-disperse homogeneous spherical particles in dispersion where the Rayleigh-Gans-Debye approximation…

Chemical Physics · Physics 2007-05-23 Yong Sun

For monolayers of chemically active particles at a fluid interface, collective dynamics are predicted to arise owing to activity-induced Marangoni flow even if the particles are not self-propelled. Here we test this prediction by employing…

Soft Condensed Matter · Physics 2026-01-06 Martin Wittmann , Mihail N. Popescu , Alvaro Domínguez , Juliane Simmchen