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A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

We solve a non-equilibrium statistical mechanics problem exactly, namely, the single-file dynamics of N hard-core interacting particles (the particles cannot pass each other) of size \Delta diffusing in a one dimensional system of finite…

Statistical Mechanics · Physics 2009-12-22 Ludvig Lizana , Tobias Ambjornsson

We study the Single File Diffusion (SFD) of a cyclic chain of particles that cannot cross each other, in a thermal bath, with long ranged interactions, and arbitrary damping. We present simulations that exhibit new behaviors specifically…

Statistical Mechanics · Physics 2015-05-27 Jean-Baptiste Delfau , Christophe Coste , Michel Saint-Jean

We investigate the dynamics of tracer particles in the random average process (RAP), a single-file system in one dimension. In addition to the position, every particle possesses an internal spin variable $\sigma (t)$ that can alternate…

Statistical Mechanics · Physics 2024-07-01 Saikat Santra , Prashant Singh , Anupam Kundu

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

Spontaneous persistent motions driven by active processes play a central role to maintain the living cells far from equilibrium. In the majority of the research works, the steady state dynamics of an active system has been described in…

Statistical Mechanics · Physics 2020-07-01 Subhasish Chaki , Rajarshi Chakrabarti

Active transport of biomolecules assisted by motor proteins is imperative for the proper functioning of cellular activities. Inspired by the diffusion of active agents in crowded cellular channels, we computationally investigate the…

Soft Condensed Matter · Physics 2022-01-19 Rajiblochan Sahoo , Ligesh Theeyancheri , Rajarshi Chakrabarti

We study the diffusion of tagged hard core interacting particles under the influence of an external force field. Using the Jepsen line we map this many particle problem onto a single particle one. We obtain general equations for the…

Statistical Mechanics · Physics 2015-05-14 E. Barkai , R. Silbey

We study the single-file dynamics of three classes of active particles: run-and-tumble particles, active Brownian particles and active Ornstein-Uhlenbeck particles. At high activity values, the particles, interacting via purely repulsive…

Statistical Mechanics · Physics 2020-09-08 Pritha Dolai , Arghya Das , Anupam Kundu , Chandan Dasgupta , Abhishek Dhar , K. Vijay Kumar

We investigate the transport of a single excitation through a chain of weakly coupled subunits. At both ends the chain is exposed to baths which are incorporated by means of a master equation in Lindblad form. This master equation is solved…

Statistical Mechanics · Physics 2009-07-15 Robin Steinigeweg , Marcel Ogiewa , Jochen Gemmer

Tracer dynamics in the Symmetric Exclusion Process, where hardcore particles diffuse on an infinite one-dimensional lattice, is a paradigmatic model of anomalous diffusion. While the equilibrium situation has received a lot of attention,…

Statistical Mechanics · Physics 2023-01-26 Aurélien Grabsch , Pierre Rizkallah , Pierre Illien , Olivier Bénichou

Single-file diffusion is a paradigm for strongly correlated classical stochastic many-body dynamics and has widespread applications in soft condensed matter and biophysics. However, exact results for {single-file} systems are sparse and…

Computational Physics · Physics 2020-10-26 Alessio Lapolla , Aljaz Godec

Experimental studies of the diffusion of biomolecules in the environment of biological cells are routinely confronted with multiple sources of stochasticity, whose identification renders the detailed data analysis of single molecule…

Statistical Mechanics · Physics 2015-06-15 Jae-Hyung Jeon , Eli Barkai , R. Metzler

We investigate the long-term diffusion transport and chaos properties of single and coupled standard maps. We consider model parameters that are known to induce anomalous diffusion in the maps' phase spaces, as opposed to normal diffusion…

Chaotic Dynamics · Physics 2021-12-02 Henok Tenaw Moges , Thanos Manos , Charalampos Skokos

Active particles (i.e., self-propelled particles or called microswimmers), different from passive Brownian particles, possess more complicated translational and angular dynamics, which can generate a series of anomalous transport phenomena.…

Soft Condensed Matter · Physics 2022-01-05 Ze-Hao Chen , Zhi-Xi Wu

Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools…

Statistical Mechanics · Physics 2025-08-15 Daniel Marris , Chittaranjan Hens , Subrata Ghosh , Luca Giuggioli

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

Active matter such as swarming bacteria and motile colloids exhibits exotic properties different from conventional equilibrium materials. Among these properties, the enhanced diffusion of tracer particles is generally deemed as a hallmark…

Soft Condensed Matter · Physics 2016-02-17 Yi Peng , Lipeng Lai , Yi-Shu Tai , Kechun Zhang , Xinliang Xu , Xiang Cheng

We examine the mobility and velocity fluctuations of a driven particle moving through an active matter bath of self-mobile disks for varied density or area coverage and varied activity. We show that the driven particle mobility can exhibit…

Soft Condensed Matter · Physics 2015-04-01 C. Reichhardt , C. J. Olson Reichhardt

In the simplest model of single-file diffusion, $N$ point particles wander on a segment of the $x$ axis of length $L$, with hard core interactions, which prevent passing, and with overdamped Brownian dynamics, $\lambda\dot{x}=\eta(t)$,…

Statistical Mechanics · Physics 2019-10-23 Theodore W. Burkhardt
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