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In networked systems, the interplay between the dynamics of individual subsystems and their network interactions has been found to generate multistability in various contexts. Despite its ubiquity, the specific mechanisms and ingredients…

Dynamical Systems · Mathematics 2024-11-22 Kalel L. Rossi , Everton S. Medeiros , Peter Ashwin , Ulrike Feudel

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at…

Statistical Mechanics · Physics 2024-01-12 Luca Angelani

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

Materials Science · Physics 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

The effect of rotational constraint on the properties of lattice models like the self-avoiding walk, lattice animals and percolation is discussed. The results obtained so far, using a variety of exact and approximate techniques, are…

Statistical Mechanics · Physics 2008-02-03 Indrani Bose

We analyze a trapping reaction with a single penetrable trap, in a one dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the…

Condensed Matter · Physics 2009-10-31 Alejandro D. Sanchez

When suspended particles are pushed by liquid flow through a constricted channel they might either pass the bottleneck without trouble or encounter a permanent clog that will stop them forever. However, they may also flow intermittently…

Fluid Dynamics · Physics 2020-07-01 Mathieu Souzy , Iker Zuriguel , Alvaro Marin

We use molecular dynamics simulations to investigate the tracer diffusion in a sea of polymers with specific binding zones for the tracer. These binding zones act as traps. Our simulations show that the tracer can undergo normal yet…

Soft Condensed Matter · Physics 2016-09-22 Nairhita Samanta , Rajarshi Chakrabarti

We provide a generic scheme offering real time control of directed particle transport in superimposed driven lattices. This scheme allows to accelerate, slow and freeze the transport on demand, by switching one of the lattices subsequently…

Chaotic Dynamics · Physics 2016-06-06 Aritra K. Mukhopadhyay , Benno Liebchen , Thomas Wulf , Peter Schmelcher

In transport processes across materials like glasses, living cells, and porous media, the probability density function of displacements exhibits exponential decay rather than Gaussian behavior. We show that this universal behavior of rare…

Statistical Mechanics · Physics 2024-10-31 R. K. Singh , Stanislav Burov

The encounter of diffusing entities underlies a wide range of natural phenomena. The dynamics of these first-passage dynamics are strongly influenced by confining geometries. Confinement modifies microscopic diffusion through conservative…

Soft Condensed Matter · Physics 2026-04-22 Guirec de Tournemire , Nicolas Fares , Yacine Amarouchene , Thomas Salez

For a model of a driven interface in an elastic medium with random obstacles we prove existence of a stationary positive supersolution at non-vanishing driving force. This shows the emergence of a rate independent hysteresis through the…

Analysis of PDEs · Mathematics 2012-01-24 Patrick W. Dondl , Michael Scheutzow , Sebastian Throm

Interacting particles diffusing in single-file is a fundamental model of transport in narrow channels where particles cannot bypass each other. An important result has been obtained by Kollmann [Phys. Rev. Lett. 90, 180602 (2003)] for the…

Statistical Mechanics · Physics 2025-07-24 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

It is well known that particles can get trapped by randomly placed obstacles when they are pushed too much. We present a model where the current in a disordered medium dies at a large external field, but is reborn when the activity is…

Statistical Mechanics · Physics 2017-10-04 T. Demaerel , C. Maes

We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local…

Chaotic Dynamics · Physics 2011-04-01 Abhijeet R. Sonawane

The binding and trapping of particles usually rely on conservative forces, described by unitary quantum dynamics. We show that both can also arise solely from spatially dependent dephasing, the simplest type of decoherence. This can be…

Quantum Physics · Physics 2022-05-04 Kaustav Mukherjee , Siddhartha Poddar , Sebastian Wüster

Transport of tracer particles through mesh-like environments such as biological hydrogels and polymer matrices is ubiquitous in nature. These tracers could be passive, such as colloids or active (self-propelled), such as synthetic…

Soft Condensed Matter · Physics 2022-12-08 Praveen Kumar , Rajarshi Chakrabarti

The dynamics of a driven tracer in a quiescent bath subject to geometric confinement effectively models a broad range of phenomena. We explore this dynamics in a 1D lattice model where geometric confinement is tuned by varying particle…

Statistical Mechanics · Physics 2021-02-03 Asaf Miron , David Mukamel

We propose a novel variant of the algorithm by Simson et al. [R. Simson, E.D. Sheets, K. Jacobson, Biophys. J. 69, 989 (1995)]. Their algorithm was developed to detect transient confinement zones in experimental single particle tracking…

Quantitative Methods · Quantitative Biology 2009-11-11 N. Meilhac , L. Le Guyader , L. Salome , N. Destainville

We investigate the transport properties of particles driven by colored noise in a flashing ratchet potential, focusing on both non-interacting and single-file interacting regimes. The model incorporates memory effects via a non-Markovian…

Soft Condensed Matter · Physics 2025-12-18 Karina I. Mazzitello , Daniel G. Zarlenga , Constancio M. Arizmendi
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