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The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

统计力学 · 物理学 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov

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…

混沌动力学 · 物理学 2019-10-22 Maor Farid , Oleg V. Gendelman

We study the boundary-driven asymmetric simple exclusion process (ASEP) in a one-dimensional chain with long-range links. Shortcuts are added to a chain by connecting $pL$ different pairs of sites selected randomly where $L$ and $p$ denote…

统计力学 · 物理学 2011-05-24 Mina Kim , Ludger Santen , Jae Dong Noh

We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of…

概率论 · 数学 2023-08-22 Claudio Landim , Sonia Velasco

The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a $1$D-lattice that is much used in systems biology and statistical physics. Its master equation…

统计力学 · 物理学 2024-08-01 Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot , Lars Grüne

Jamming is an athermal transition between flowing and rigid states in amorphous systems such as granular matter, colloidal suspensions, complex fluids and cells. The jamming transition seems to display mixed aspects of a first-order…

软凝聚态物质 · 物理学 2024-11-04 Yue Deng , Deng Pan , Yuliang Jin

We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When slow particles are sufficiently rare the system has a phase…

概率论 · 数学 2007-05-23 Ilie Grigorescu , Min Kang , Timo Seppalainen

Using the framework of generalized exclusion processes we study mixtures of passive and active particles interacting by steric repulsion. The particles move in a pore with periodically modulated aperture, which is modeled by a…

统计力学 · 物理学 2025-08-14 Frantisek Slanina , Miroslav Kotrla

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

软凝聚态物质 · 物理学 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

统计力学 · 物理学 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-dimensional driven single file motion. We study a periodic TASEP with two ``road blocks'' or defects of different kinds, one point and another extended, across…

统计力学 · 物理学 2024-12-31 Atri Goswami , Rohn Chatterjee , Sudip Mukherjee

Interest in the dynamical arrest leading to a fluid --> solid transition in thermal and athermal systems has led to questions about the nature of these transitions. These jamming transitions may be dependent on the influence of extended…

软凝聚态物质 · 物理学 2007-05-23 Allison Ferguson , Bulbul Chakraborty

We investigate particle condensation in a driven pair exclusion process on one- and two- dimensional lattices under the periodic boundary condition. The model describes a biased hopping of particles subject to a pair exclusion constraint…

统计力学 · 物理学 2012-03-06 Sang-Woo Kim , Jae Dong Noh

This paper discusses transport barrier formation and layering as consequences of jam formation. Extensive use is made of analogies with the theory of traffic flow in one dimension. The relation of flux jamming to motility induced phase…

等离子体物理 · 物理学 2025-10-17 P. H. Diamond , Y. Kosuga , P. L. Guillon , Ö. D. Gürcan

We discuss statics and dynamics of condensation in a zero-range process with compartments of limited sizes. For the symmetric dynamics the stationary state has a factorized form. For the asymmetric dynamics the steady state factorizes only…

统计力学 · 物理学 2014-02-25 Artem Ryabov

We consider a family of totally asymmetric simple exclusion processes (TASEPs), consisting of particles on a lattice that require binding by a "token" in various physical configurations to advance over the lattice. Using a combination of…

统计力学 · 物理学 2025-02-11 Bor Kavčič , Gašper Tkačik

We analyze the equilibrium fluctuations of the density, current and tagged particle in symmetric exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump rate is everywhere equal to one except at the slow…

概率论 · 数学 2013-11-28 Tertuliano Franco , Patricia Gonçalves , Adriana Neumann

Dense particulate suspensions can not only increase their viscosity and shear thicken under external forcing, but also jam into a solid-like state that is fully reversible when the force is removed. An impact on the surface of a dense…

软凝聚态物质 · 物理学 2019-05-10 Endao Han , Liang Zhao , Nigel Van Ha , S. Tonia Hsieh , Daniel B. Szyld , Heinrich M. Jaeger

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features…

统计力学 · 物理学 2019-11-20 Dominik Lips , Artem Ryabov , Philipp Maass

We investigate the effects of disorder on driven lattice gases with open boundaries using the totally asymmetric simple exclusion process as a paradigmatic example. Disorder is realized by randomly distributed defect sites with reduced…

统计力学 · 物理学 2009-11-13 Philip Greulich , Andreas Schadschneider