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We discuss the emergence and growth of the cooperativity accompanying vitrification based on the density fluctuation dynamics for fragile glass-forming liquids. (i) The relaxation of density fluctuations proceeds by the particle (density)…

Soft Condensed Matter · Physics 2019-11-11 Akira Furukawa

We study the dynamics of an asymmetric simple exclusion process with open boundaries and local interactions using a pair approximation which generalizes the 2-node cluster mean field theory and the Markov chain approach to kinetics and…

Statistical Mechanics · Physics 2020-01-22 D. Botto , A. Pelizzola , M. Pretti

Stochastic driven flow along a channel can be modeled by the asymmetric simple exclusion process. We confirm numerically the presence of a dynamic queuing phase transition at a nonzero obstruction strength, and establish its scaling…

Statistical Mechanics · Physics 2009-11-10 Meesoon Ha , Jussi Timonen , Marcel den Nijs

Complex biological and physical transport processes are often described through systems of interacting particles. Excluded-volume effects on these transport processes are well studied, however the interplay between volume exclusion and…

Statistical Mechanics · Physics 2018-06-27 Daniel Wilson , Helen Byrne , Maria Bruna

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

Populations and Evolution · Quantitative Biology 2023-10-02 Jeferson J. Arenzon , Luca Peliti

In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm…

Fluid Dynamics · Physics 2009-11-13 V. I. Ratushnaya , D. Bedeaux , V. L. Kulinskii , A. V. Zvelindovsky

Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to their emergent space use patterns in a concrete mathematical…

Populations and Evolution · Quantitative Biology 2025-04-16 Jonathan R. Potts

In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

Statistical Mechanics · Physics 2024-12-19 Thierry Bodineau , Bernard Derrida

We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For…

Probability · Mathematics 2024-11-27 Claudio Landim , João Pedro Mangi , Beatriz Salvador

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

Collective transport through channels shows surprising properties under one-dimensional confinement: particles in a single file exhibit sub-diffusive behavior, while liquid confinement causes distance-independent correlations between the…

Soft Condensed Matter · Physics 2019-06-05 Karolis Misiunas , Ulrich F. Keyser

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We computationally study the effects of binding kinetics to the channel wall, leading to transient immobility, on the diffusive transport of particles within narrow channels, that exhibit single-file diffusion (SFD). We find that slow…

Statistical Mechanics · Physics 2018-08-22 Spencer G. Farrell , Andrew D. Rutenberg

To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process with bulk particle attachment and detachment. The stationary…

Statistical Mechanics · Physics 2022-02-23 Ankita Gupta , Arvind Kumar Gupta

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

Cooperative behaviors are defined as the production of common goods benefitting all members of the community at the producer's cost. They could seem to be in contradiction with natural selection, as non-cooperators have an increased fitness…

Populations and Evolution · Quantitative Biology 2014-03-17 Bahram Houchmandzadeh

Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using…

Soft Condensed Matter · Physics 2011-03-11 Dmitry S. Novikov , Els Fieremans , Jens H. Jensen , Joseph A. Helpern

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

Fluid Dynamics · Physics 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

We present a derivation from first principles of the coupled equations of motion of an active self-diffusiophoretic Janus motor and the hydrodynamic densities of its fluid environment that are nonlinearly displaced from equilibrium. The…

Soft Condensed Matter · Physics 2024-01-05 Bryan Robertson , Jeremy Schofield , Raymond Kapral