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We report an experimental study of diffusion in a quasi-one-dimensional (q1D) colloid suspension which behaves like a Tonks gas. The mean squared displacement as a function of time is described well with an ansatz encompassing a time regime…

Soft Condensed Matter · Physics 2007-05-23 B. Lin , M. Meron , B. Cui , S. A. Rice , H. Diamant

Recent advances in Conditional Diffusion Models have led to substantial capabilities in various domains. However, understanding the impact of variations in the initial seed vector remains an underexplored area of concern. Particularly,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Mao Po-Yuan , Shashank Kotyan , Tham Yik Foong , Danilo Vasconcellos Vargas

We investigate the potential of mutual scattering, i.e., light scattering with multiple properly phased incident beams, as a method to extract structural information from inside an opaque object. In particular, we study how sensitively the…

Optics · Physics 2023-06-19 Minh Duy Truong , Ad Lagendijk , Willem L. Vos

We propose a local modification of the standard subdiffusion model by introducing the initial Fickian diffusion, which results in a multiscale diffusion model. The developed model resolves the incompatibility between the nonlocal operators…

Numerical Analysis · Mathematics 2024-01-31 Xiangcheng Zheng , Yiqun Li , Wenlin Qiu

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

Statistical Mechanics · Physics 2009-10-31 F. Igloi , L. Turban , H. Rieger

The aim of this article is to provide a scheme for simulating diffusion processes evolving in one-dimensional discontinuous media. This scheme does not rely on smoothing the coefficients that appear in the infinitesimal generator of the…

Probability · Mathematics 2007-05-23 Antoine Lejay , Miguel Martinez

A new solution to the mono-dimensional diffusion equation for time-variable first kind boundary condition is presented where the time-variable function at the surface is derived proposing a surface saturation model. This solution may be…

Materials Science · Physics 2022-12-08 Guglielmo Macrelli

Single-particle tracking (SPT) has become a popular tool to study the intracellular transport of molecules in living cells. Inferring the character of their dynamics is important, because it determines the organization and functions of the…

Quantitative Methods · Quantitative Biology 2020-09-09 Joanna Janczura , Patrycja Kowalek , Hanna Loch-Olszewska , Janusz Szwabiński , Aleksander Weron

We study experimentally turbulent thermal diffusion of small particles in inhomogeneous and anisotropic stably stratified turbulence produced by one oscillating grid in the air flow. The velocity fields have been measured using a Particle…

Fluid Dynamics · Physics 2022-09-20 E. Elmakies , O. Shildkrot , N. Kleeorin , A. Levy , I. Rogachevskii , A. Eidelman

Single file diffusion (SFD) exhibits anomalously slow collective transport when particles are able to immobilize by binding and unbinding to the one-dimensional channel within which the particles diffuse. We have explored this system for…

Statistical Mechanics · Physics 2021-09-15 Spencer Farrell , Andrew D Rutenberg

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features…

Statistical Mechanics · Physics 2019-11-20 Dominik Lips , Artem Ryabov , Philipp Maass

Thermophoresis is a transport phenomenon induced by a temperature gradient. Very small objects dispersed in a fluid medium and in a temperature gradient present a non homogeneous steady density. Analysing this phenomenon within the…

Statistical Mechanics · Physics 2022-01-25 J. M. Sancho

We investigate diffusion in a polydisperse granular media. We derive mean-squared displacement of granular particles in a polydisperse granular gas in a homogeneous cooling state, containing arbitrary amount of species of different sizes…

Soft Condensed Matter · Physics 2024-03-21 Anna S. Bodrova

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

Statistical Mechanics · Physics 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic potential. We uncover the dependence of ensemble- and…

Statistical Mechanics · Physics 2020-04-15 Xudong Wang , Yao Chen , Weihua Deng

We study a two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is the same as in our previous work [J. Chem. Phys. 140, 044706 (2014)] in which standard, gaussian…

Chemical Physics · Physics 2020-03-17 Michał Cieśla , Bartłomiej Dybiec , Ewa Gudowska-Nowak , Igor Sokolov

In this work, a new algorithm is proposed to compute single particle (infinite dilution) thermodiffusion using Non-Equilibrium Molecular Dynamics simulations through the estimation of the thermophoretic force that applies on a solute…

Statistical Mechanics · Physics 2009-11-13 Guillaume Galliéro , S. Volz

The spatial diffusion of an inhomogeneous vortex tangle is studied numerically with the vortex filament model. A localized initial tangle is prepared by applying a counterflow, and the tangle is allowed to diffuse freely after the…

Soft Condensed Matter · Physics 2009-11-07 Makoto Tsubota , Tsunehiko Araki , W. F. Vinen

30% of the DNA in E. coli bacteria is covered by proteins. Such high degree of crowding affect the dynamics of generic biological processes (e.g. gene regulation, DNA repair, protein diffusion etc.) in ways that are not yet fully…

Statistical Mechanics · Physics 2015-06-23 Sebastian Ahlberg , Tobias Ambjörnsson , Ludvig Lizana

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

Soft Condensed Matter · Physics 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky