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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 propose a theoretical model which relies on the generalized Langevin equation and may account for various dynamical features of the thermal motion of organelles, vesicles or macromolecules in viscoelastic media such as polymer networks.…

Soft Condensed Matter · Physics 2020-01-03 Denis S. Grebenkov , Mahsa Vahabi , Elena Bertseva , Laszlo Forro , Sylvia Jeney

Brownian dynamics of a self-propelled particle in linear shear flow is studied analytically by solving the Langevin equation and in simulation. The particle has a constant propagation speed along a fluctuating orientation and is…

Soft Condensed Matter · Physics 2014-01-28 Borge ten Hagen , Raphael Wittkowski , Hartmut Löwen

The diffusion of particles in complex media has gained significant interest due to its dual relevance: probing the viscoelastic properties of materials via microrheology and assessing the extent of particle displacement over time. In this…

Soft Condensed Matter · Physics 2025-06-24 Fabian A. Garcia Daza , Alvaro Rodriguez-Rivas , Fernando Govantes , Alejandro Cuetos

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

Soft Condensed Matter · Physics 2024-10-16 Zhiwei Peng

The Generalized Elastic Model (GEM) provides the evolution equation which governs the stochastic motion of several many-body systems in nature, such as polymers, membranes, growing interfaces. On the other hand a probe (\emph{tracer})…

Statistical Mechanics · Physics 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

A nonequilibrium fluctuation theorem is established for a colloidal particle driven by an external force within the hydrodynamic theory of Brownian motion, describing hydrodynamic memory effects such as the t^(-3/2) power-law decay of the…

Statistical Mechanics · Physics 2020-06-24 Pierre Gaspard

This article proposes a self-consistent methodology for determining the mechanical adiabatic work of Brownian particles trapped in optical tweezers. Rather than varying the trap frequency, the proposed protocol involves displacing the trap…

Statistical Mechanics · Physics 2026-05-07 Pedro J. Colmenares

Discontinuous transitions into absorbing states require an effective mechanism that prevents the stabilization of low density states. They can be found in different systems, such as lattice models or stochastic differential equations (e.g.…

Statistical Mechanics · Physics 2015-08-12 Salete Pianegonda , Carlos E. Fiore

We study the dynamics of a tracer particle, which performs a totally directed random walk in an adsorbed monolayer composed of mobile hard-core particles undergoing continuous exchanges with a vapour phase. In terms of a mean-field-type…

Statistical Mechanics · Physics 2009-10-31 O. Benichou , A. M. Cazabat , M. Moreau , G. Oshanin

Tracer diffusion in crowded environments is central to many biological and soft matter systems, but quantitative frameworks for linking tracer motion to environmental structure remain limited. Here, we study the transport of rigid tracers…

Soft Condensed Matter · Physics 2026-05-07 Jinseok Lee , Tong Lin , Mengyang Gu , Yimin Luo

Particles kicked by external forces to produce mobility distinct from thermal diffusion are an iconic feature of the active matter problem. Here, we map this onto a minimal model for experiment and theory covering the wide time and length…

Soft Condensed Matter · Physics 2021-01-21 Jin Tae Park , Govind Paneru , Chulan Kwon , Steve Granick , Hyuk Kyu Pak

In this work, we derive a generalization of the so-called Schr\"odinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a…

Quantum Physics · Physics 2014-01-20 Pedro Bargueño , Salvador Miret--Artés

This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

Statistical Mechanics · Physics 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

The turbulent diffusion of Lagrangian tracer particles has been studied in a flow on the surface of a large tank of water and in computer simulations. The effect of flow compressibility is captured in images of particle fields. The velocity…

Chaotic Dynamics · Physics 2009-11-10 John R. Cressman , Walter I. Goldburg , Joerg Schumacher

We develop a generalized gradient expansion of the inhomogeneous dynamical mean-field theory method for determining properties of ultracold atoms in a trap. This approach goes beyond the well-known local density approximation and at higher…

Quantum Gases · Physics 2016-08-17 J. K. Freericks , Shuyang Han , Karlis Mikelsons , H. R. Krishnamurthy

We report on the translation and rotation of particle clusters made through the combination of spherical building blocks. These clusters present ideal model systems to study the motion of objects with complex shape. Because they could be…

Soft Condensed Matter · Physics 2009-11-02 Martin Hoffmann , Claudia S. Wagner , Ludger Harnau , Alexander Wittemann

Single-file transport, where particles cannot bypass each other, has been observed in various experimental setups. In such systems, the behaviour of a tracer particle (TP) is subdiffusive, which originates from strong correlations between…

Statistical Mechanics · Physics 2019-11-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

We present micro-rheological measurments of the drag force on colloids pulled through a solution of lambda-DNA (used here as a monodisperse model polymer) with an optical tweezer. The experiments show a violation of the Stokes-Einstein…

Soft Condensed Matter · Physics 2009-11-13 Christof Gutsche , Friedrich Kremer , Matthias Krüger , Markus Rauscher , Rudolf Weeber , Jens Harting

Single-file transport refers to the motion of particles in a narrow channel, such that they cannot bypass each other. This constraint leads to strong correlations between the particles, described by correlation profiles, which measure the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Théotim Berlioz , Pierre Rizkallah , Pierre Illien , Olivier Bénichou
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