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Related papers: Mass Exchange Processes with Input

200 papers

We consider the homogenisation of a coupled reaction-diffusion process in a porous medium with evolving microstructure. A concentration-dependent reaction rate at the interface of the pores with the solid matrix induces a…

Analysis of PDEs · Mathematics 2022-06-01 David Wiedemann , Malte A. Peter

A large number (~10,000) of uniform stainless steel balls comprising less than one layer coverage on a vertically shaken plate provides a rich system for the study of excited granular media. Viewed from above, the horizontal motion in the…

Soft Condensed Matter · Physics 2007-05-23 J. S. Urbach , J. S. Olafsen

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

The emergence of clustering and coarsening in crowded ensembles of self-propelled agents is studied using a lattice model in one-dimension. The persistent exclusion process, where particles move at directions that change randomly at a low…

Statistical Mechanics · Physics 2016-08-24 Nestor Sepulveda , Rodrigo Soto

We study the stationary dynamics of energy exchange in an ensemble of phase oscillators, coupled through a mean-field mechanical interaction and added with friction and an external periodic excitation. The degree of entrainment between…

Adaptation and Self-Organizing Systems · Physics 2021-12-02 Raúl I. Sosa , Damián H. Zanette

We analyze two time-dependent cluster cooling flow models in spherical symmetry. The first assumes that the intracluster gas resides in a static external potential, and includes the effects of optically thin radiative cooling and mass…

Astrophysics · Physics 2012-08-27 Eric A. Lufkin , Craig L. Sarazin , Raymond E. White , III

The exchange-driven growth (EDG) model describes the evolution of clusters through the exchange of single monomers between pairs of interacting clusters. The dynamics of this process are primarily influenced by the interaction kernel…

Analysis of PDEs · Mathematics 2024-11-22 Saroj Si , Ankik Kumar Giri

The continuous generalized exchange-driven growth model (CGEDG) is a coagulation-fragmentation equation that describes the evolution of the macroscopic cluster size distribution induced by a microscopic dynamic of binary exchanges of masses…

Analysis of PDEs · Mathematics 2025-09-08 Chun Yin Lam , André Schlichting

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

We study a system of self-propelled disks that perform run-and-tumble motion, where particles can adopt more than one internal state. One of those internal states can be transmitted to another particle if the particle carrying this state…

Biological Physics · Physics 2019-12-30 Fernando Peruani , Gustavo Sibona

Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At steady state, the distance between stripes is much longer than…

Pattern Formation and Solitons · Physics 2009-11-11 Shuji Ishihara , Mikiya Otsuji , Atsushi Mochizuki

Clustering of molecules on biological membranes is a widely observed phenomenon. In some cases, such as the clustering of Ras proteins on the membranes of mammalian cells, proper cell signaling is critically dependent on the maintenance of…

Molecular Networks · Quantitative Biology 2019-08-28 Martijn Wehrens , Pieter Rein ten Wolde , Andrew Mugler

Complex systems out of equilibrium often experience intermittent oscillations between quiescent and highly dynamic states. The type of intermittency depends on how energy is pumped into the system, and how it is dissipated. While…

Soft Condensed Matter · Physics 2026-02-23 Zhicheng Shu , Wei-Chih Li , Wentao Yu , Justin C. Burton

We study the stability, the clustering and the phase-diagram of free cooling granular gases. The systems consist of mono-disperse particles with additional non-contact (long-range) interactions, and are simulated here by the event-driven…

Soft Condensed Matter · Physics 2015-06-22 S. Gonzalez , A. R. Thornton , S. Luding

We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of additional spontaneous fragmentation events. We consider both…

Statistical Mechanics · Physics 2019-05-28 Anna S. Bodrova , Vladimir Stadnichuk , P. L. Krapivsky , Jürgen Schmidt , Nikolai V. Brilliantov

We propose a method based on cluster expansion to study the low activity/high temperature phase of a continuous particle system confined in a finite volume, interacting through a stable and finite range pair potential with negative minimum…

Mathematical Physics · Physics 2021-02-05 Paula M. S. Fialho , Bernardo N. B. de Lima , Aldo Procacci

We present an experimental study on the collective behavior of macroscopic self-propelled particles that are externally excited by light. This property allows testing the system response to the excitation intensity in a very versatile…

Soft Condensed Matter · Physics 2025-09-03 Sára Lévay , Axel Katona , Hartmut Löwen , Raúl Cruz Hidalgo , Iker Zuriguel

We reconsider the immediate exchange model and define a more general class of models where mass is split, exchanged and merged. We relate the splitting process to the symmetric inclusion process via thermalization and from that obtain…

Probability · Mathematics 2023-12-04 Frank Redig , Federico Sau

This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional torus. We describe how this clustering behavior is closely…

Analysis of PDEs · Mathematics 2026-03-18 Nicolai Gerber , Rishabh S. Gvalani , Martin Hairer , Grigorios A. Pavliotis , André Schlichting

We present results of simulations for a dilute gas of inelastically colliding particles. Collisions are modelled as a stochastic process, which on average decreases the translational energy (cooling), but allows for fluctuations in the…

Statistical Mechanics · Physics 2009-10-30 Timo Aspelmeier , Götz Giese , Annette Zippelius