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Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

软凝聚态物质 · 物理学 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez

The Heimburg-Jackson model, or thermodynamic soliton theory of nervous impulses, has a well-established record as an alternative model for studying the dynamics of nerve impulses and lipid bilayers. Within this framework, nerve impulses can…

斑图形成与孤子 · 物理学 2024-07-02 O. Pavón-Torres , M. A. Agüero-Granados , R. Valencia-Torres

Consider a massive (inert) particle impinged from above by N Brownian particles that are instantaneously reflected upon collision with the inert particle. The velocity of the inert particle increases due to the influence of an external…

概率论 · 数学 2022-12-28 Sayan Banerjee , Amarjit Budhiraja , Benjamin Estevez

The complexity of the frictional dynamics at the microscopic scale makes difficult to identify all of its controlling parameters. Indeed, experiments on sheared elastic bodies have shown that the static friction coefficient depends on…

Intrinsic thermal fluctuations within a real solid challenge the rigid body assumption that is central to Euler's equations for the motion of a free body. Recently, we have introduced a dissipative and stochastic version of Euler's…

统计力学 · 物理学 2024-11-05 J. A. de la Torre , J. Sánchez-Rodríguez , Pep Español

In this paper, we propose a Generalized Langevin Equation (GLE)-based model to describe the lateral diffusion of a protein in a lipid bilayer. The memory kernel is represented in terms of a viscous (instantaneous) and an elastic (non…

生物物理 · 物理学 2021-11-24 Loris Di Cairano , Benjamin Stamm , Vania Calandrini

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

软凝聚态物质 · 物理学 2016-04-20 Aaron Dörr , Steffen Hardt

The friction and diffusion coefficients of rigid spherical colloidal particles dissolved in a fluid are determined from velocity and force autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with both slip and no-slip…

软凝聚态物质 · 物理学 2016-03-10 Mario Theers , Elmar Westphal , Gerhard Gompper , Roland G. Winkler

The response kinetics of liquid crystalline phosphatidylcholine bilayer stacks to rapid, IR-laser induced temperature jumps has been studied by millisecond time-resolved x-ray diffraction. The system reacts on the fast temperature change by…

生物物理 · 物理学 2007-05-23 Georg Pabst , Michael Rappolt , Heinz Amenitsch , Sigrid Bernstorff , Peter Laggner

We study protein diffusion in multicomponent lipid membranes close to a rigid substrate separated by a layer of viscous fluid. The large-distance, long-time asymptotics for Brownian motion are calculated using a nonlinear stochastic…

软凝聚态物质 · 物理学 2009-11-11 Yaroslav Tserkovnyak , David R. Nelson

A nonequilibrium fluctuation theorem is established for a colloidal particle driven by an external force within the hydrodynamic theory of Brownian motion, describing hydrodynamic memory effects such as the t^(-3/2) power-law decay of the…

统计力学 · 物理学 2020-06-24 Pierre Gaspard

We present the exact analytical equation of diffusion-mobility for two-dimensional (2D) Schr\"odinger type transport systems, from molecules to materials. The density of electronic states in such Schr\"odinger systems pertains to the 2D…

统计力学 · 物理学 2019-09-27 K. Navamani

Fluctuations of the instantaneous local Lagrangian strain $\epsilon_{ij}(\bf{r},t)$, measured with respect to a static ``reference'' lattice, are used to obtain accurate estimates of the elastic constants of model solids from atomistic…

凝聚态物理 · 物理学 2009-10-31 Surajit Sengupta , Peter Nielaba , Madan Rao , K. Binder

Herein we develop a dynamical foundation for fractional Brownian Motion. A clear relation is established between the asymptotic behaviour of the correlation function and diffusion in a dynamical system. Then, assuming that scaling is…

chao-dyn · 物理学 2008-02-03 R Mannella , P Grigolini , BJ West

A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. In contrast to linear alternatives, its equilibrium solution is exactly the canonical Gibbs density matrix. The corresponding nonlinear…

量子物理 · 物理学 2021-02-08 Roumen Tsekov

We study the friction coefficient of a macroscopic sphere in a viscous fluid at low Reynolds number. First, Kirkwood's formula for the friction coefficient is reviewed on the basis of the Hamiltonian description of particle systems.…

统计力学 · 物理学 2015-10-13 Masato Itami , Shin-ichi Sasa

Cellular membranes are elastic lipid bilayers that contain a variety of proteins, including ion channels, receptors, and scaffolding proteins. These proteins are known to diffuse in the plane of the membrane and to influence the bending of…

软凝聚态物质 · 物理学 2020-10-28 Arijit Mahapatra , David Saintillan , Padmini Rangamani

A thermal model of kinetic friction is assigned to a classical loaded particle moving on a fluctuating smooth surface. A sinusoidal wave resembles surface fluctuations with a relaxation time. The Hamiltonian is approximated to the mean…

介观与纳米尺度物理 · 物理学 2023-05-08 Rasoul Kheiri

Motivated by the experimental study of Tayebi et al. [Nature Mater. 11, 1074 (2012)] on phase separation of stacked multi-component lipid bilayers, we propose a model composed of stacked two-dimensional Ising spins. We study both its static…

软凝聚态物质 · 物理学 2015-12-14 T. Hoshino , S. Komura , D. Andelman

Regular Einstein relation, connecting the coefficient of ambipolar diffusion and the Dember field with mobilities, is generalized for the case of interacting electron-hole plasma. The calculations are presented for a non-degenerate plasma…

强关联电子 · 物理学 2015-05-14 A. L. Efros