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Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two different problems are addressed: reaction spreading on a percolating cluster and front propagation through a percolating channel. For reaction…

Statistical Mechanics · Physics 2013-07-01 Federico Bianco , Sergio Chibbaro , Davide Vergni , Angelo Vulpiani

We study theoretically and experimentally the solvent-mediated critical Casimir force acting on colloidal particles immersed in a binary liquid mixture of water and 2,6-lutidine and close to substrates which are chemically patterned with…

We report experiments that show rapid crystallization of colloids tethered to an oil-water interface in response to laser illumination. This light-induced transition is due to a combination of long-ranged thermophoretic pumping and local…

Soft Condensed Matter · Physics 2020-08-07 Alessio Caciagli , Rajesh Singh , Darshana Joshi , R. Adhikari , Erika Eiser

The reversible reactions like A+B <-> C in the many-component diffusive system affect the diffusive properties of the constituents. The effective conjugation of irreversible processes of different dimensionality takes place due to the…

Other Condensed Matter · Physics 2007-05-23 Serge Shpyrko , Vladimir M. Sysoev

In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits a traveling front…

Analysis of PDEs · Mathematics 2024-02-29 Amanda Matson , Claude-Michel Brauner , Peter V. Gordon

A simple model for the reaction-driven propulsion of a small device is proposed as a model for (part of) a molecular machine in aqueous media. Motion of the device is driven by an asymmetric distribution of reaction products. The propulsive…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Tanniemola B. Liverpool , Armand Ajdari

We develop mixed finite element methods for nonlinear reaction-diffusion equations with interfaces which have Robin-type interface conditions. We introduce the velocity of chemicals as new variables and reformulate the governing equations.…

Numerical Analysis · Mathematics 2023-04-27 Jeonghun J. Lee , Xinran Jin

The problem of front propagation in flowing media is addressed for laminar velocity fields in two dimensions. Three representative cases are discussed: stationary cellular flow, stationary shear flow, and percolating flow. Production terms…

Chaotic Dynamics · Physics 2009-10-31 M. Abel , A. Celani , D. Vergni , A. Vulpiani

Radiation reaction effects on ion acceleration in laser foil interaction are investigated via analytical modeling and multi-dimensional particle-in-cell simulations. We find the radiation effects are important in the area where some…

Plasma Physics · Physics 2009-09-29 Min Chen , Alexander Pukhov , Tong-Pu Yu , Zheng-Ming Sheng

It is possible to generate an accelerated period of expansion from reasonable potentials acting between the universe particle constituents. The pressure of primordial nucleons interacting via a simple nuclear potential is obtained via…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , R. R. Cuzinatto , L. G. Medeiros

Reaction-advection-diffusion equations, in periodic settings and with general type nonlinearities, admit a threshold known as the minimal speed of propagation. The minimal speed does not have an accessible formula when the nonlinearity is…

Analysis of PDEs · Mathematics 2020-01-17 Mohammad El Smaily , Chunhua Ou

As one increases the concentration of a colloidal suspension, the system exhibits a dramatic increase in viscosity. Structurally, the system resembles a liquid, yet motions within the suspension are slow enough that it can be considered…

Soft Condensed Matter · Physics 2012-05-22 Gary L. Hunter , Eric R. Weeks

The random intensity of noise approach to 1D Laval-Dubrulle-Nazarenko model is used to describe Lagrangian acceleration of a fluid particle in developed turbulence. Intensities of noises entering nonlinear Langevin equation are assumed to…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

We report extensive molecular-dynamics simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages,for packing fractions up to 0.605 and over a characteristic time interval spanning…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , W. Gotze , F. Sciortino , P. Tartaglia , Th. Voigtmann

In many industrial processes, pieces of the same polymer material are brought into contact at a temperature above the glass transition. Interdiffusion then takes place across the interface and leads to a strengthening of the junction.…

Soft Condensed Matter · Physics 2009-10-31 A. Aradian , E. Raphael , P. -G. de Gennes

We study the phase behavior of colloidal suspensions the solvents of which are considered to be binary liquid mixtures undergoing phase segregation. We focus on the thermodynamic region close to the critical point of the accompanying…

Soft Condensed Matter · Physics 2015-06-03 T. F. Mohry , A. Maciołek , S. Dietrich

A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump…

Statistical Mechanics · Physics 2009-11-10 Kazuhiko Seki , Mariusz Wojcik , M. Tachiya

We study the steady state of a stochastic particle system on a two-dimensional lattice, with particle influx, diffusion and desorption, and the formation of a dimer when particles meet. Surface processes are thermally activated, with…

Statistical Mechanics · Physics 2015-05-30 A. Wolff , I. Lohmar , J. Krug , O. Biham

Magnetic Reconnection is an efficient and fast acceleration mechanism by means of direct electric field acceleration parallel to the magnetic field. Thus, acceleration of particles in reconnection regions is a very important topic in plasma…

Astrophysics · Physics 2015-06-24 Rudiger Schopper , Guido T. Birk , Harald Lesch

The recently introduced method of excess collisions (MEC) is modified to estimate diffusion-controlled reaction times inside systems of arbitrary size. The resulting MEC-E equations contain a set of empirical parameters, which have to be…

Biological Physics · Physics 2009-11-11 Holger Merlitz , Konstantin V. Klenin , Chen-Xu Wu , Jörg Langowski