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Numerous small bodies inevitably lead to cratering impacts on large planetary bodies during planet formation and evolution. As a consequence of these small impacts, a fraction of the target material escapes from the gravity of the large…

Earth and Planetary Astrophysics · Physics 2020-07-29 Ryuki Hyodo , Hidenori Genda

We study exclusion processes on the integer lattice in which particles change their velocities due to stickiness. Specifically, whenever two or more particles occupy adjacent sites, they stick together for an extended period of time, and…

Probability · Mathematics 2016-08-11 Miklós Z. Rácz , Mykhaylo Shkolnikov

We consider a model of surface-mediated diffusion with alternating phases of pure bulk and surface diffusion. For this process, we compute the mean exit time from a disk through a hole on the circle. We develop a spectral approach to this…

Mathematical Physics · Physics 2014-04-24 O. Bénichou , D. S. Grebenkov , L. Hillairet , L. Phun , R. Voituriez , M. Zinsmeister

We use a simple generic model to study the desorption of atoms from a solid surface in contact with a liquid, by using a combination of Monte Carlo and molecular dynamics simulations. The behavior of the system depends on two parameters:…

Chemical Physics · Physics 2022-11-16 Krishna Jaiswal , Horia Metiu , Vishal Agarwal

At finite concentrations of reacting molecules, kinetics of diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we…

Statistical Mechanics · Physics 2019-08-23 Tal Agranov , Baruch Meerson

A recently proposed generalised continuum theory of curved dislocations describes the spatial and temporal evolution of statistically stored and geometrically necessary dislocation densities as well as the curvature. The dynamics follow…

Materials Science · Physics 2026-01-13 István Groma , Dénes Berta , Lóránt Sándli , Péter Dusán Ispánovity

The adsorption of particles diffusing in a half-space bounded by the substrate and irreversibly sticking to the substrate upon contacts is investigated. We show that when absorbing particles are planar disks diffusing in the…

Statistical Mechanics · Physics 2018-07-25 P. L. Krapivsky

The statistical properties of infrequent particle displacements, greater than a certain distance, is known as jump dynamics in the context of structural glass formers. We generalize the concept of jump to the case of a spin glass, by…

Statistical Mechanics · Physics 2017-11-22 Daniel A. Mártin , José Luis Iguain

We study the metastable behavior of diffusion processes in narrow tube domains, where the metastability is induced by entropic barriers. We identify a sequence of characteristic time scales $\{T_\epsilon^i\}_{1 \leq i \leq \abs{V'}}$ and…

Probability · Mathematics 2025-12-16 Wen-Tai Hsu

We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a Markov partition a hole through which orbits escape. We compare various estimates…

Dynamical Systems · Mathematics 2020-10-28 Hassan Attarchi , Leonid A. Bunimovich

We explore the properties of discrete-time stochastic processes with a bounded state space, whose deterministic limit is given by a map of the unit interval. We find that, in the mesoscopic description of the system, the large jumps between…

Statistical Mechanics · Physics 2016-11-22 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

The expulsion dynamics of the last liquid monolayer of molecules confined between two surfaces has been analyzed by solving the two-dimensional (2D) Navier-Stokes equation for a compressible liquid. We find that the squeeze-out is…

Materials Science · Physics 2007-05-23 U. Tartaglino , B. N. J. Persson , A. I. Volokitin , E. Tosatti

Cells have evolved efficient strategies to probe their surroundings and navigate through complex environments. From metastatic spread in the body to swimming cells in porous materials, escape through narrow constrictions - a key component…

Biological Physics · Physics 2021-10-04 Mathieu Souzy , Antoine Allard , Jean-François Louf , Matteo Contino , Idan Tuval , Marco Polin

We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Edward Malec , Niall Ó Murchadha

Escape from a potential well is an extreme example of transient behavior. We consider the escape of the harmonically forced particle under viscous damping from the benchmark truncated weakly nonlinear potential well. Main attention is paid…

Chaotic Dynamics · Physics 2019-10-22 Maor Farid , Oleg V. Gendelman

A knowledge of the particle escape time from the acceleration regions of many space and astrophysical sources is of critical importance in the analysis of emission signatures produced by these particles and in the determination of the…

High Energy Astrophysical Phenomena · Physics 2018-11-28 Frederic Effenberger , Vahé Petrosian

We investigate how confinement may drastically change both the probability density of the first-encounter time and the related survival probability in the case of two diffusing particles. To obtain analytical insights into this problem, we…

Statistical Mechanics · Physics 2020-09-16 F. Le Vot , S. B. Yuste , E. Abad , D. S. Grebenkov

The ability to tune quantum tunneling is key for achieving selectivity in manipulation of individual particles in quantum technology applications. In this work we count electron escape events out of a time-dependent confinement potential,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Austris Akmentinsh , David Reifert , Thomas Weimann , Klaus Pierz , Vyacheslavs Kashcheyevs , Niels Ubbelohde

We simulate a densely jammed, athermal assembly of repulsive soft particles immersed in a solvent. Starting from an initial condition corresponding to a quench from a high temperature, we find non-trivial slow dynamics driven by a gradual…

Soft Condensed Matter · Physics 2019-09-11 Rahul N. Chacko , Peter Sollich , Suzanne M. Fielding
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