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We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles satisfies a predefined condition. Proximity-based reaction…

Numerical Analysis · Mathematics 2025-04-07 Taylor Kearney , Ricardo Ruiz-Baier , Mark B. Flegg

The kinetics of bimolecular reactions in solution depends, among other factors, on intermolecular forces such as steric repulsion or electrostatic interaction. Microscopically, a pair of molecules first has to meet by diffusion before the…

Soft Condensed Matter · Physics 2019-10-24 Manuel Dibak , Christoph Fröhner , Frank Noé , Felix Höfling

Singular limit problems of reaction-diffusion systems have been studied in cases where the effects of the reaction terms are very large compared with those of the other terms. Such problems appear in literature in various fields such as…

Analysis of PDEs · Mathematics 2019-01-15 Hideki Murakawa

One of the hypothesized functions of biomolecular condensates is to act as chemical reactors, where chemical reactions can be modulated, i.e. accelerated or slowed down, while substrate molecules enter and products exit from the condensate.…

Biological Physics · Physics 2024-07-02 Alexandra Shelest , Hugo Le Roy , Daniel M. Busiello , Paolo De Los Rios

The motion of an artificial micro-scale swimmer that uses a chemical reaction catalyzed on its own surface to achieve autonomous propulsion is fully characterized experimentally. It is shown that at short times, it has a substantial…

We study the properties of diffusion controlled reactions with traps or reaction sites attached to polymer chains or to a star polymer. Using a field theoretical renormalization group approach we obtain the scaling of the moments of…

Soft Condensed Matter · Physics 2016-08-31 Christian von Ferber , Yurij Holovatch

We consider a reaction-diffusion system for two densities lying in adjacent domains of $\mathbb{R}^N$. We treat two configurations: either a cylinder and its complement, or two half-spaces. Diffusion and reaction heterogeneities for the two…

Analysis of PDEs · Mathematics 2025-06-06 Henri Berestycki , Luca Rossi , Andrea Tellini

We present an experimental and theoretical study of the phase behavior of a binary mixture of colloids with opposite adsorption preferences in a critical solvent. As a result of the attractive and repulsive critical Casimir forces, the…

Soft Condensed Matter · Physics 2011-10-03 O. Zvyagolskaya , A. J. Archer , C. Bechinger

We study diffusion and mixing in different linear fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect which causes a transfer of energy to high frequencies. When diffusion is…

Analysis of PDEs · Mathematics 2018-06-11 Michele Coti Zelati , Matias G. Delgadino , Tarek M. Elgindi

Phase separation is the thermodynamic process that explains how droplets form in multicomponent fluids. These droplets can provide controlled compartments to localize chemical reactions, and reactions can also affect the droplets' dynamics.…

Soft Condensed Matter · Physics 2022-09-02 David Zwicker

Transported chemical reactions in unsaturated porous media are relevant across a range of environmental and industrial applications. Continuum scale dispersive models are often based on equivalent parameters derived from analogy with…

Moment dynamics in stochastic chemical kinetics often involve an infinite chain of coupled equations, where lower-order moments depend on higher-order ones, making them analytically intractable. Moment bounding via semidefinite programming…

Optimization and Control · Mathematics 2026-04-07 Tomoki Sadatoshi , Antonis Papachristodoulou , Yutaka Hori

Particle yields in heavy ion collisions show an overwhelming evidence for chemical or relative chemical equilibrium at all beam energies. The rapidity dependence of the thermal parameters $T$ and $\mu_B$ can now be determined over a wide…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Becattini , J. Cleymans

We study the reaction front for the process A+B -> C in which the reagents move subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion equation in which both the motion and the reaction terms are affected…

Statistical Mechanics · Physics 2007-05-23 S. B. Yuste , L. Acedo , Katja Lindenberg

Much work has studied effective interactions between micron-sized particles carrying linkers forming reversible, inter-particle linkages. These studies allowed understanding the equilibrium properties of colloids interacting through…

Soft Condensed Matter · Physics 2019-12-11 Pritam Kumar Jana , Bortolo Matteo Mognetti

Propulsion of colloidal particles due to momentum transfer from localized surface reactions is investigated by solving the exact unsteady Stokes equation. We model the effect of surface reactions as either a {\it force dipole} acting on the…

Soft Condensed Matter · Physics 2025-10-08 Javier Diaz , Ignacio Pagonabarraga , Carles Calero

Dynamical heterogeneities in a colloidal fluid close to gelation are studied by means of computer simulations. A clear distinction between some fast particles and the rest, slow ones, is observed, yielding a picture of the gel composed by…

Soft Condensed Matter · Physics 2009-11-10 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We discuss stationary concentrations of reactants in an A + B -> 0 reaction under subdiffusion and show that they are described by stationary reaction-diffusion equations with a nonlinear diffusion term. We consider stationary profiles of…

Statistical Mechanics · Physics 2007-05-23 Daniela Froemberg , Igor M. Sokolov

Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction. In continuation of our earlier work, we…

Analysis of PDEs · Mathematics 2015-06-04 Alexander Kiselev , Lenya Ryzhik

We study the change in the speed of pushed and bistable fronts of the reaction diffusion equation in the presence of a small cut-off. We give explicit formulas for the shift in the speed for arbitrary reaction terms f(u). The dependence of…

Pattern Formation and Solitons · Physics 2015-06-18 M. C. Depassier , R. D. Benguria