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A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

This paper is concerned with the effective transport properties of heterogeneous media in which there is a high contrast between the phase diffusivities. In this case the transient response of the slow phase induces a memory effect at the…

Computational Physics · Physics 2018-10-23 Laurence Brassart , Laurent Stainier

The effect of conformational fluctuations of modular macromolecules, such as enzymes, on their diffusion properties is addressed using a simple generic model of an asymmetric dumbbell made of two hydrodynamically coupled subunits. It is…

Soft Condensed Matter · Physics 2017-11-22 Pierre Illien , Tunrayo Adeleke-Larodo , Ramin Golestanian

Let U be a given function defined on R^d and \pi(x) be a density function proportional to \exp -U(x). The following diffusion X(t) is often used to sample from \pi(x), dX(t)=-\nabla U(X(t)) dt+\sqrt2 dW(t),\qquad X(0)=x_0. To accelerate the…

Probability · Mathematics 2007-05-23 Chii-Ruey Hwang , Shu-Yin Hwang-Ma , Shuenn-Jyi Sheu

The variance of the local density of the pair contact process with diffusion (PCPD) is investigated in a bosonic description. At the critical point of the absorbing phase transition (where the average particle number remains constant) it is…

Statistical Mechanics · Physics 2009-11-10 Matthias Paessens , Gunter M. Schuetz

We characterize steady-state static and dynamic properties in a broad class of mass transport processes on a periodic hypercubic lattice of volume $L^d$, where both mass and {\it center-of-mass} (CoM) remain conserved and detailed balance…

Statistical Mechanics · Physics 2025-03-31 Animesh Hazra , Anirban Mukherjee , Punyabrata Pradhan

The analysis of the dynamics of tracer particles in a complex bath can provide valuable information about the microscopic behaviour of the bath. In this work, we study the dynamics of a forced tracer in a colloidal bath by means of Langevin…

Soft Condensed Matter · Physics 2020-06-24 Francisco Orts , Gloria Ortega , Ester M. Garzon , Matthias Fuchs , Antonio M. Puertas

We consider Lagrangian coherent structures (LCSs) as the boundaries of material subsets whose advective evolution is metastable under weak diffusion. For their detection, we first transform the Eulerian advection-diffusion equation to…

Dynamical Systems · Mathematics 2020-06-17 Daniel Karrasch , Johannes Keller

The collective diffusion coefficient $D_\mathrm{coll}$ is a key quantity for describing the macroscopic transport properties of soft matter systems. However, measuring $D_\mathrm{coll}$ is a fundamental experimental and numerical challenge,…

Soft Condensed Matter · Physics 2025-03-26 Adam Carter , Eleanor K. R. Mackay , Brennan Sprinkle , Alice L. Thorneywork , Sophie Marbach

Despite being a fundamental tool in soft matter research, quartz crystal microbalance (QCM) analyses of discrete macromolecules in liquid so far lack a firm theoretical basis. Currently, acoustic signals are qualitatively interpreted using…

Soft Condensed Matter · Physics 2022-01-25 Marc Meléndez Schofield , Rafael Delgado Buscalioni

The hydrodynamic interactions among bacterial cell bodies, flagella, and surrounding boundaries are essential for understanding bacterial motility in complex environments. In this study, we demonstrate that each slender flagellum can be…

Soft Condensed Matter · Physics 2025-01-07 Baopi Liu , Lu Chen , Ji Zhang

The free energies of the FCC, BCC, HCP and Simple Cubic phases for hard spheres are calculated as a function of density using the Fundamental Measure Theory models of Rosenfeld et al (PRE 55, 4245 (1997)), Tarazona (PRL 84, 694 (2001)) and…

Statistical Mechanics · Physics 2008-08-20 James F. Lutsko

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

Statistical Mechanics · Physics 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

This work develops a quantitative homogenization theory for random suspensions of rigid particles in a steady Stokes flow, and completes recent qualitative results. More precisely, we establish a large-scale regularity theory for this…

Analysis of PDEs · Mathematics 2021-03-12 Mitia Duerinckx , Antoine Gloria

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

This article analyzes the formulation of space-time continuous hyperbolic hydrodynamic models for systems of interacting particles moving on a lattice, by connecting their local stochastic lattice dynamics to the formulation of an…

Statistical Mechanics · Physics 2018-06-11 Massimiliano Giona

A stochastic model for the dynamics of enzymatic catalysis in explicit, effective solvents under physiological conditions is presented. Analytically-computed first passage time densities of a diffusing particle in a spherical shell with…

Biomolecules · Quantitative Biology 2015-06-04 Jeremy Schofield , Paul Inder , Raymond Kapral

We present an extension of the Poisson-Boltzmann model in which the solute of interest is immersed in an assembly of self-orienting Langevin water dipoles, anions, cations, and hydrophobic molecules, all of variable densities. Interactions…

Biological Physics · Physics 2021-04-08 Patrice Koehl , Marc Delarue , Henri Orland

Proteins tend to bury hydrophobic residues inside their core during the folding process to provide stability to the protein structure and to prevent aggregation. Nevertheless, proteins do expose some 'sticky' hydrophobic residues to the…

Biomolecules · Quantitative Biology 2021-07-27 Juami Hermine Mariama van Gils , Dea Gogishvili , Jan van Eck , Robbin Bouwmeester , Erik van Dijk , Sanne Abeln
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