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This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

Analysis of PDEs · Mathematics 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

We investigate the time evolution of a model system of interacting particles, moving in a $d$-dimensional torus. The microscopic dynamics are first order in time with velocities set equal to the negative gradient of a potential energy term…

Statistical Mechanics · Physics 2018-02-12 Paolo Butta` , Joel L. Lebowitz

We investigate the evolution of a system of colloidal particles, trapped at a fluid interface and interacting via capillary attraction, as function of the range of the capillary interaction and temperature. We address the collapse of an…

Soft Condensed Matter · Physics 2013-12-13 J. Bleibel , A. Dominguez , M. Oettel , S. Dietrich

In the paper by Franosch et al., Nature 478, 85 (2011), the positional fluctuations of Brownian microspheres in fluids were studied by confining the particles in an optical trap. Experimental access to short timescales has revealed a…

Statistical Mechanics · Physics 2013-04-16 Jana Tothova , Lukas Glod , Vladimir Lisy

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

Theoretical calculations for colloidal charge-stabilized and hard sphere suspensions show that hydrodynamic interactions yield a qualitatively different particle concentration dependence of the short-time self-diffusion coefficient. The…

Soft Condensed Matter · Physics 2009-10-31 E. Overbeck , Ch. Sinn , M. Watzlawek

We study numerically the motion of a one dimensional array of Brownian particles in a washboard potential, driven by an external stochastic force and interacting via short range repulsive forces. In particular, we investigate the role of…

Statistical Mechanics · Physics 2009-11-11 Giulio Costantini , Fabio Cecconi , Umberto Marini-Bettolo-Marconi

The crossover from single-file diffusion, where the mean-square displacement scales as <x^2> ~t^(1/2), to normal Fickian diffusion, where <x^2>~t$, is studied as a function of channel width for colloidal particles. By comparing Brownian…

Soft Condensed Matter · Physics 2010-01-07 J. Sané , J. T. Padding , A. A. Louis

We recently introduced a model of an asymmetric dumbbell made of two hydrodynamically coupled subunits as a minimal model for a macromolecular complex, in order to explain the observation of enhanced diffusion of catalytically active…

Soft Condensed Matter · Physics 2017-12-19 Tunrayo Adeleke-Larodo , Pierre Illien , Ramin Golestanian

In this article we derive and test the fluctuating hydrodynamic description of active particles interacting via taxis and quorum sensing, both for mono-disperse systems and for mixtures of co-existing species of active particles. We compute…

Statistical Mechanics · Physics 2025-01-14 Alberto Dinelli , Jérémy O'Byrne , Julien Tailleur

Shape changes resulting from segmental flexibility are ubiquitous in molecular and biological systems, and are expected to affect both the diffusive motion and (biological) function of dispersed objects. The recent development of colloidal…

We used single-molecule tracking to probe the local rheology of interfacial water. Fluorescent rhodamine molecules were tracked on silica surfaces as a function of ambient relative humidity, which controlled the thickness of condensed water…

Soft Condensed Matter · Physics 2020-01-20 Raphael Sarfati , Daniel K. Schwartz

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of spherical shape. We take into account the interfacial…

Soft Condensed Matter · Physics 2023-10-24 David Rower , Misha Padidar , Paul J. Atzberger

In the absence of directional motion it is often hard to recognize athermal fluctuations. Probability currents provide such a measure in terms of the rate at which they enclose area in the reduced phase space. We measure this area enclosing…

Colloids coupled to a bath of swimming cells generically display enhanced diffusion. This transport dynamics stems from a subtle interplay between the active and passive particles that still resists our understanding despite decades of…

Soft Condensed Matter · Physics 2021-03-25 Antoine Lagarde , Noémie Dagès , Takahiro Nemoto , Vincent Démery , Denis Bartolo , Thomas Gibaud

We study far from equilibrium transport of a periodically driven inertial Brownian particle moving in a periodic potential. As detected recently for a SQUID ratchet dynamics (Spiechowicz J. & Luczka J. Phys. Rev. E 91, 062104 (2015)), the…

Statistical Mechanics · Physics 2016-12-07 Jakub Spiechowicz , Peter Hänggi , Jerzy Łuczka

Extreme deformation of soft matter is central to our understanding of the effects of shock, fracture, and phase change in a variety of systems. Yet, despite, the increasing interest in this area, far-from-equilibrium behaviours of soft…

Soft Condensed Matter · Physics 2020-07-07 Axel Huerre , Marco De Corato , Valeria Garbin

We introduce a model of interacting Random Walk, whose hopping amplitude depends on the number of walkers/particles on the link. The mesoscopic counterpart of such a microscopic dynamics is a diffusing system whose diffusivity depends on…

Statistical Mechanics · Physics 2008-10-01 E. Agliari , M. Casartelli , A. Vezzani

When describing elastic deformations of a body sometimes it is worth to take in account elastic spatial dispersion. If spatial dispersion is weak, as usually happens, then it can be reduced to dependence of thermodynamic potential on strain…

Materials Science · Physics 2015-04-23 A. S. Yurkov

Particle-particle interactions are of paramount importance in every multi-body system as they determine the collective behaviour and coupling strength. Many well-known interactions like electro-static, van der Waals or screened Coulomb,…

Biological Physics · Physics 2015-07-17 Karolis Misiunas , Stefano Pagliara , Eric Lauga , John R. Lister , Ulrich F. Keyser