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We analyse large deviations of the dynamical activity in one-dimensional systems of diffusing hard particles. Using an optimal-control representation of the large-deviation problem, we analyse effective interaction forces which can be added…

Statistical Mechanics · Physics 2020-01-22 Jakub Dolezal , Robert L. Jack

We study the motion of independent particles in a dynamical random environment on the integer lattice. The environment has a product distribution. For the multidimensional case, we characterize the class of spatially ergodic invariant…

Probability · Mathematics 2018-09-20 Mathew Joseph , Firas Rassoul-Agha , Timo Seppäläinen

We use direct numerical simulations to investigate the interaction between the temperature field of a fluid and the temperature of small particles suspended in the flow, employing both one and two-way thermal coupling, in a statistically…

Fluid Dynamics · Physics 2020-01-08 Maurizio Carbone , Andrew D. Bragg , Michele Iovieno

This paper considers particle propagation in a cylindrical molecular communication channel, e.g. a simplified model of a blood vessel. Emitted particles are influenced by diffusion, flow, and a vertical force induced e.g. by gravity or…

Computational Physics · Physics 2019-02-26 Maximilian Schäfer , Wayan Wicke , Rudolf Rabenstein , Robert Schober

In this paper, we study a macroscopic system of electrically interacting metallic beads organized as a sequence along an annulus. A random mechanical shaking mimics the thermal excitation. We exhibit non Fickian diffusion (Single File…

Statistical Mechanics · Physics 2015-05-18 Christophe Coste , Jean-Baptiste Delfau , Catherine Even , Michel Saint Jean

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

We simulated irreversible aggregation of non-interacting particles and of particles interacting via repulsive and attractive potentials explicitly implementing the rotational diffusion of aggregating clusters. Our study confirms that the…

Soft Condensed Matter · Physics 2019-03-26 Swetlana Jungblut , Jan-Ole Joswig , Alexander Eychmüller

We use large hybrid (kinetic protons-fluid electrons) simulations to investigate the transport of energetic particles in self-consistent electromagnetic configurations of collisionless shocks. In previous papers of this series, we showed…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Damiano Caprioli , Anatoly Spitkovsky

We studied the self-diffusion of colloidal ellipsoids in a monolayer near a flat wall by video microscopy. The image processing algorithm can track the positions and orientations of ellipsoids with sub-pixel resolution. The translational…

Soft Condensed Matter · Physics 2015-05-19 Zhongyu Zheng , Yilong Han

We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several asymptotic behaviours, depending upon the limiting cases…

Chaotic Dynamics · Physics 2012-06-13 B. Mehlig , M. Wilkinson , V. Bezuglyy , K. Gustavsson , K. Nakamura

Sinking marine snow particles, composed primarily of organic matter, control the global export of photosynthetically fixed carbon from the ocean surface to depth. The fate of sedimenting marine snow particles is in part regulated by their…

Fluid Dynamics · Physics 2026-03-25 Jan Turczynowicz , Radost Waszkiewicz , Jonasz Słomka , Maciej Lisicki

We consider diffusion of particles on a lattice in the so-called dynamical mean-field regime (memory effects are neglected). Interactions are local, that is, only among particles at the same lattice site. It is shown that a statistical…

Statistical Mechanics · Physics 2021-12-03 Matías A. Di Muro , Miguel Hoyuelos

In this work, the short-time dynamics of simple liquid is explored both analytically and numerically with the focus on the interplay between the density fluctuations in a volume surrounding a chosen particle and its random walk motion. The…

Statistical Mechanics · Physics 2019-06-26 Eugene B. Postnikov

We study transport in a one-dimensional lattice system with two conserved quantities -- `volume' and energy. Considering a slowly evolving local equilibrium state that is slightly deviated from an underlying global equilibrium, we estimate…

Statistical Mechanics · Physics 2023-07-19 Anupam Kundu

The Kob-Andersen model is a fundamental example of a kinetically constrained lattice gas, that is, an interacting particle system with Kawasaki type dynamics and kinetic constraints. In this model, a particle is allowed to jump when…

Probability · Mathematics 2020-03-06 Anatole Ertul , Assaf Shapira

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

Soft Condensed Matter · Physics 2014-02-19 Soya Shinkai , Yuichi Togashi

We consider a system of stochastic interacting particles with general diffusion coefficient and drift functions and we study the types of collisions that arise in them. In particular, interactions between particles are inversely…

Probability · Mathematics 2025-09-30 Sergio Andraus , Nicole Hufnagel , Jacek Małecki

We discuss a reaction-diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with asymmetric rates (the sum of which is one) to the right or left…

Condensed Matter · Physics 2016-08-31 Jaime E. Santos , Gunter M. Schutz , Robin B. Stinchcombe

We derive an analytic expression for the distribution of velocities of multiple interacting active particles which we test by numerical simulations. In clear contrast with equilibrium we find that the velocities are coupled to positions.…

In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical states. This is true for vesicles in intracellular transport,…

Subcellular Processes · Quantitative Biology 2022-07-25 Maria-Veronica Ciocanel , John Fricks , Peter R. Kramer , Scott A. McKinley
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