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Application of fractional calculus to the description of anomalous diffusion and relaxation processes in complex media provided one of the most impressive impulses to the development of statistical physics during the last decade. In…

Soft Condensed Matter · Physics 2008-11-13 A. E. Sitnitsky

The diffusive motion of overdamped Brownian particles in tilted piecewise linear pontentials is considered. It is shown that the enhancement of diffusion coefficient by an external static force is quite sensitive to the symmetry of periodic…

Soft Condensed Matter · Physics 2007-05-23 Els Heinsalu , Risto Tammelo , Teet Ord

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

Statistical Mechanics · Physics 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

We describe an efficient and parsimonious matrix-based theory for studying the ensemble behavior of self-propellers and active swimmers, such as nanomotors or motile bacteria, that are typically studied by differential-equation-based…

Soft Condensed Matter · Physics 2014-09-11 Amir Nourhani , Paul E. Lammert , Ali Borhan , Vincent H. Crespi

The behavior of a confined spherical symmetric anomalous fluid under high external pressure was studied with Molecular Dynamics simulations. The fluid is modeled by a ore-softened potential with two characteristic length scales, which in…

Soft Condensed Matter · Physics 2014-08-21 José Rafael Bordin , Leandro B. Krott , Marcia C. B. Barbosa

Gas bubble accumulation on substrates reduces the efficiency of many physicochemical processes, such as water electrolysis. For microbubbles, where buoyancy is negligible, coalescence-induced jumping driven by the release of surface energy…

Soft Condensed Matter · Physics 2025-11-10 Yixin Zhang , Xiangyu Zhang , Detlef Lohse

Transport properties in fluids and confined systems play a central role across a wide range of natural and technological contexts, from geology and environmental sciences to biology, energy storage, and membrane-based separation processes.…

Diffusion in living tissues governs essential physiological processes and is well studied within cells. Yet how extracellular molecular motion emerges from the structural complexity of tissues remains unresolved. In the brain, molecules…

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

Soft Condensed Matter · Physics 2017-11-29 Elsen Tjhung , Ludovic Berthier

The performance of nanoscale magnetic devices is often limited by the presence of thermal fluctuations, while in micro-nanofluidic applications the same fluctuations may be used to spread reactants or drugs. Here we demonstrate the…

Soft Condensed Matter · Physics 2019-01-30 Ralph L. Stoop , Arthur V. Straube , Pietro Tierno

We perform molecular dynamic simulations of liquid nanoparticles deposited on a disordered substrate. The motion of the nanoparticle is characterised by a 'stick and roll' diffusive process. Long simulation times ($\simeq \mu s$), analysis…

Materials Science · Physics 2009-11-10 F. Celestini

Diffusive dynamics abound in nature and have been especially studied in physical, biological, and financial systems. These dynamics are characterised by a linear growth of the mean squared displacement (MSD) with time. Often, the conditions…

Statistical Mechanics · Physics 2025-11-14 Alvaro Lanza , Xiang Qu , Stefano Bo

We investigate the dielectrophoretic motion of charge-neutral, polarizable nanocolloids through molecular dynamics simulations. Comparison to analytical results derived for continuum systems shows that the discrete charge distributions on…

Soft Condensed Matter · Physics 2009-11-13 Emppu Salonen , Emma Terama , Ilpo Vattulainen , Mikko Karttunen

By converting energy into mechanical work, engines play a central role in most biological and technological processes. In particular, within the current trend towards the development of nanoscience and nanotechnology, microscopic engines…

Soft Condensed Matter · Physics 2018-02-14 Falko Schmidt , Alessandro Magazzu , Agnese Callegari , Luca Biancofiore , Frank Cichos , Giovanni Volpe

A simple model for the reaction-driven propulsion of a small device is proposed as a model for (part of) a molecular machine in aqueous media. Motion of the device is driven by an asymmetric distribution of reaction products. The propulsive…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Tanniemola B. Liverpool , Armand Ajdari

We study the long-time behavior of a particle in $\mathbb{R}^d$, $d \geq 2$, subject to molecular diffusion and advection by a random incompressible flow. The velocity field is the divergence of a stationary random stream matrix $\mathbf{k}…

Probability · Mathematics 2026-01-30 Scott Armstrong , Ahmed Bou-Rabee , Tuomo Kuusi

We study the motion of dispersed nanoprobes in entangled active-passive polymer mixtures. By comparing the two architectures of linear vs. unconcatenated and unknotted circular polymers, we demonstrate that novel, rich physics emerge. For…

Soft Condensed Matter · Physics 2021-08-27 Andrea Papale , Jan Smrek , Angelo Rosa

Fast particles diffusing along magnetic field lines in a turbulent plasma can diffuse through and then return to the same eddy many times before the eddy is randomized in the turbulent flow. This leads to an enhancement of particle…

Astrophysics · Physics 2009-11-10 Benjamin D. G. Chandran , Jason L. Maron

We study the role of active coupling on the transport properties of homogeneously charged macromolecules in an infinitely dilute solution. An enzyme becomes actively bound to a segment of the macromolecule, exerting an electrostatic force…

Soft Condensed Matter · Physics 2024-05-24 Tapas Singha , Siao-Fong Li , Murugappan Muthukumar

The kinetic processes in nanoparticle-based catalysis are dominated by large fluctuations and spatiotemporal heterogeneities, in particular for diffusion-influenced reactions which are far from equilibrium. Here, we report results from…

Chemical Physics · Physics 2020-11-03 Yi-Chen Lin , Won Kyu Kim , Joachim Dzubiella