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Experimental results for passive tracer dispersion in the turbulent surface layer under convective conditions are presented. In this case, the dispersion of tracer particles is determined by the interplay of two mechanisms: buoyancy and…

Chaotic Dynamics · Physics 2014-08-26 Alex Skvortsov , Milan Jamriska , Timothy C DuBois

We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions. We study the dynamics of a single tracer…

Statistical Mechanics · Physics 2022-02-11 Tirthankar Banerjee , Robert L. Jack , Michael E. Cates

We investigate the transport properties of particles driven by colored noise in a flashing ratchet potential, focusing on both non-interacting and single-file interacting regimes. The model incorporates memory effects via a non-Markovian…

Soft Condensed Matter · Physics 2025-12-18 Karina I. Mazzitello , Daniel G. Zarlenga , Constancio M. Arizmendi

We derive the time-evolution equation that describes the Brownian motion of labeled individual tracer particles in a simple model atomic liquid (i.e., a system of $N$ particles whose motion is governed by Newton's second law, and…

Tracer diffusion in polymer networks and hydrogels is relevant in biology and technology, while it also constitutes an interesting model process for the dynamics of molecules in fluctuating, heterogeneous soft matter. Here, we study…

Soft Condensed Matter · Physics 2024-02-16 Sebastian Milster , Fabian Koch , Christoph Widder , Tanja Schilling , Joachim Dzubiella

Many cell types display random motility on two-dimensional substrates, but crawl persistently in a single direction when confined in a microchannel or on an adhesive micropattern. Does this imply that the motility mechanism of confined…

Biological Physics · Physics 2014-06-13 Brian A. Camley , Wouter-Jan Rappel

Moving detectors in relativistic quantum field theories reveal the fundamental entangled structure of the vacuum which manifests, for instance, through its thermal character when probed by a uniformly accelerated detector. In this paper, we…

Quantum Physics · Physics 2019-08-21 Benjamin Roussel , Alexandre Feller

Motions of fluctuating Brownian particles in an incompressible viscous fluid have been studied by coupled simulations of Brownian particles and host fluid. We calculated the velocity autocorrelation functions of Brownian particles and…

Soft Condensed Matter · Physics 2012-11-22 Takuya Iwashita , Yasuya Nakayama , Ryoichi Yamamoto

We investigate the wave packet dynamics of a pair of particles that undergoes a rapid change of scattering length. The short-range interactions are modeled in the zero-range limit, where the quench is accomplished by switching the boundary…

Quantum Gases · Physics 2016-08-10 John P. Corson , John L. Bohn

Diffusion behavior of Brownian particles in confined spaces was studied for the displacements notably shorter than the confinement size. The confinements, resembling structure of porous solids, were modeled using a spatially-varying…

Disordered Systems and Neural Networks · Physics 2016-11-24 Daniel Schneider , Rustem Valiullin , Nail Fatkullin

The subject matter of the paper concerns the Vlasov-Poisson-Fokker-Planck (VPFP) equations in the context of magnetic confinement. We study the long-time behavior of the VPFP system with an intense external magnetic field, when neglecting…

Analysis of PDEs · Mathematics 2023-12-29 Mihaï Bostan , Anh-Tuan Vu

It has long been known that gravitational waves from compact binary coalescing sources are responsible for a first-order displacement memory effect experienced by a pair of freely falling test masses. This constant displacement is sourced…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Atul K. Divakarla , Bernard F. Whiting

An exact description of the statistical motion of active particles in three dimension is presented in the framework of a generalized diffusion equation. Such a generalization contemplates a non-local, in time and space, connecting (memory)…

Statistical Mechanics · Physics 2023-07-20 Francisco J Sevilla

We consider the problem of leakage or effusion of an ensemble of independent stochastic processes from a region where they are initially randomly distributed. The case of Brownian motion, initially confined to the left half line with…

Statistical Mechanics · Physics 2023-06-29 David S. Dean , Satya N. Majumdar , Gregory Schehr

We show that memory can be encoded in a model amorphous solid subjected to athermal oscillatory shear deformations, and in an analogous spin model with disordered interactions, sharing the feature of a deformable energy landscape. When…

Statistical Mechanics · Physics 2014-01-17 D. Fiocco , G. Foffi , S. Sastry

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

We study the Brownian dynamics of a solid particle on a vibrating solid surface. Phenomenologically, the interaction between the two solid surfaces is modeled by solid friction, and the Gaussian white noise models the vibration of the solid…

Statistical Mechanics · Physics 2017-06-15 Prasenjit Das , Moshe Schwartz , Sanjay Puri

The underdamped, non-linear, generalized Langevin equation is widely used to model coarse-grained dynamics of soft and biological materials. By means of a projection operator formalism, we show under which approximations this equation can…

Soft Condensed Matter · Physics 2022-02-04 Fabian Glatzel , Tanja Schilling

We report on an investigation of the vertical transport of tracer particles released within a shallow, continuously-forced flow by means of numerical simulations. The investigation is motivated by the shallow flows encountered in many…

We measured the overall motion of Brownian particles suspended in water by a self-mixing thin-slice solid-state laser with extreme optical sensitivity. From the demodulated signal of laser intensity fluctuations through self-mixing…