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Semi-flexible polymers in crowded environments exhibit complex dynamics that play a crucial role in various biological and material design processes. Based on the classic reptation theory, it is generally believed that semiflexible polymers…

Soft Condensed Matter · Physics 2023-05-05 Ahmad Reza Motezakker , Andrés Córdoba , Tomas Rosén , Fredrik Lundell , L. Daniel Söderberg

The statistics of equally weighted random paths (ideal polymer) is studied in $2$ and $3$ dimensional percolating clusters. This is equivalent to diffusion in the presence of a trapping environment. The number of $N$ step walks follows a…

Condensed Matter · Physics 2009-10-22 Achille Giacometti , Amos Maritan

We study the formation of clusters of passive Lagrangian tracers in a non-smooth turbulent flow in a flat free-slip surface as a model for particle dynamics on free surfaces. Single particle and pair dispersion show different behavior for…

Chaotic Dynamics · Physics 2009-11-07 Joerg Schumacher , Bruno Eckhardt

Biomolecular condensates are essential for cellular organization and result from phase separation in systems far from thermodynamic equilibrium. Among various models, chemically active droplets play a significant role, consisting of…

Soft Condensed Matter · Physics 2025-05-19 Jacques Fries , Roxanne Berthin , Chengjie Luo , Marie Jardat , David Zwicker , Vincent Dahirel , Pierre Illien

In bacteria, regulatory proteins search for a specific DNA binding target via "facilitated diffusion": a series of rounds of 3D diffusion in the cytoplasm, and 1D linear diffusion along the DNA contour. Using large scale Brownian dynamics…

Biological Physics · Physics 2013-09-05 C. A. Brackley , M. E. Cates , D. Marenduzzo

We investigate the effective diffusion of a tracer immersed in an active particle bath consisting of self-propelled particles. Utilising the Dean's method developed for the equilibrium bath and extending it to the nonequilibrium situation,…

Soft Condensed Matter · Physics 2024-06-27 Mengkai Feng , Zhonghuai Hou

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

Statistical Mechanics · Physics 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

Statistical Mechanics · Physics 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto

The looping of polymers such as DNA is a fundamental process in the molecular biology of living cells, whose interior is characterised by a high degree of molecular crowding. We here investigate in detail the looping dynamics of flexible…

Soft Condensed Matter · Physics 2014-12-24 Jaeoh Shin , Andrey G. Cherstvy , Ralf Metzler

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

Soft Condensed Matter · Physics 2020-02-05 Mahdi Zarif , Richard K. Bowles

The diffusion transport coefficients of a binary granular suspension where one of the components is present in tracer concentration are determined from the (inelastic) Enskog kinetic equation. The effect of the interstitial gas on the solid…

Soft Condensed Matter · Physics 2023-08-30 Rubén Gómez González , Vicente Garzó

The transport of an infinitely thin, hard rod in a random, dense array of point obstacles is investigated by molecular dynamics simulations. Our model mimics the sterically hindered dynamics in dense needle liquids. The center-of-mass…

Statistical Mechanics · Physics 2008-09-22 Felix Höfling , Erwin Frey , Thomas Franosch

Using granular experiments and computer simulations, we investigate the long-time diffusion of active tracers in a broad class of complex media composed of frozen obstacles of diverse structures. By introducing a dimensionless persistence…

Soft Condensed Matter · Physics 2025-05-06 Qun Zhang , Yuxin Tian , Xue Zhang , Xiaoting Yu , Hongwei Zhu , Ning Zheng , Luhui Ning , Ran Ni , Mingcheng Yang , Peng Liu

We consider a one-dimensional Brownian motion with diffusion coefficient $D$ in the presence of $n$ partially absorbing traps with intensity $\beta$, separated by a distance $L$ and evenly spaced around the initial position of the particle.…

Statistical Mechanics · Physics 2022-11-28 Gaia Pozzoli , Benjamin De Bruyne

Microorganisms ofter move in confined, disordered environments, where hydrodynamic couplings can modify their transport behavior. Using extensive finite-element simulations, we investigate the dynamics of microswimmers -- modeled as…

Soft Condensed Matter · Physics 2026-03-24 Mirko Residori , Sebastian Aland , Christina Kurzthaler

We investigate the emergence of subdiffusive transport by obstruction in continuum models for molecular crowding. While the underlying percolation transition for the accessible space displays universal behavior, the dynamic properties…

The interaction between swimming microorganisms or artificial self-propelled colloids and passive (tracer) particles in a fluid leads to enhanced diffusion of the tracers. This enhancement has attracted strong interest, as it could lead to…

Soft Condensed Matter · Physics 2017-07-04 Joost de Graaf , Joakim Stenhammar

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive…

Biological Physics · Physics 2019-01-30 Theresa Jakuszeit , Ottavio A. Croze , Samuel Bell

Modeling collective motion in non-conservative systems, such as granular materials, is difficult since a general microscopic-to-macroscopic approach is not available: there is no Hamiltonian, no known stationary densities in phase space,…

Soft Condensed Matter · Physics 2020-08-05 Andrea Plati , Andrea Puglisi

Inspired by recent experiments on the effects of cytosolic crowders on the organization of bacterial chromosomes, we consider a "feather-boa" type model chromosome in the presence of non-additive crowders, encapsulated within a cylindrical…

Biological Physics · Physics 2020-02-11 Amit Kumar , Pinaki Swain , Bela M. Mulder , Debasish Chaudhuri