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Bilayer lipid membranes (BLMs) are an essential component of many biological systems, forming a functional barrier between the cell and the surrounding environment. When the membrane relaxes from a structural perturbation, the dynamics of…

软凝聚态物质 · 物理学 2015-07-27 R. J. Bingham , S. W. Smye , P. D. Olmsted

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

统计力学 · 物理学 2009-11-10 Pierre-Henri Chavanis

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

软凝聚态物质 · 物理学 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

We study a continuum model of the lipid bilayer based on minimizing the free energy of a mixture of water and lipid molecules. This paper extends previous work by Blom & Peletier (2004) in the following ways. (a) It formulates a more…

软凝聚态物质 · 物理学 2020-06-05 Phillip L. Wilson , Huaxiong Huang , Shu Takagi

We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for the resulting entanglement spectrum in…

统计力学 · 物理学 2013-05-13 John Schliemann

A self-consistent and universal description of friction and diffusion for Brownian particles (grains) in different systems, as a gas with Boltzmann collisions, dusty plasma with ion absorption by grains, and for active particles (e.g.,…

统计力学 · 物理学 2009-11-10 S. A. Trigger , G. J. F. van Heijst , P. P. J. M. Schram

Many of the cell membrane vital functions are achieved by the self-organization of the proteins and biopolymers embedded in it. The protein dynamics are in part determined by its drag. A large number of these proteins can polymerize to form…

流体动力学 · 物理学 2023-09-13 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

Dissipative effects can lead to a friction term in the equation of motion for an inflaton field during the inflationary era. The friction term may be linear and localised, in which case it is described by a dissipation coefficient. The…

高能物理 - 唯象学 · 物理学 2007-05-23 Ian G Moss , Chun Xiong

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

统计力学 · 物理学 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

统计力学 · 物理学 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

We derive a connection between the intrinsic tribological properties and the electronic properties of a solid interface. In particular, we show that the adhesion and frictional forces are dictated by the electronic charge redistribution…

其他凝聚态物理 · 物理学 2018-07-17 M. Wolloch , G. Levita , P. Restuccia , M. C. Righi

Generalized Einstein relation between the mobility and diffusion in conductors with a large built-in field near the thermodynamic equilibrium has been derived.

材料科学 · 物理学 2010-10-06 S. A. Ktitorov

Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for a very large particle mass, the dynamics…

偏微分方程分析 · 数学 2015-05-20 Juerg Froehlich , Zhou Gang , Avy Soffer

We complete the kinetic theory of inhomogeneous systems with long-range interactions initiated in previous works. We use a simpler and more physical formalism. We consider a system of particles submitted to a small external stochastic…

统计力学 · 物理学 2023-08-23 Pierre-Henri Chavanis

Using memory-function formalism we show that in sheared colloidal suspensions the fluctuation-dissipation theorem for self-diffusion, i.e. Einstein's relation between self-diffusion and mobility tensors, is violated and propose a new way to…

软凝聚态物质 · 物理学 2009-11-10 Grzegorz Szamel

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

软凝聚态物质 · 物理学 2014-02-19 Soya Shinkai , Yuichi Togashi

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

软凝聚态物质 · 物理学 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We compute the effective diffusion coefficient of a Brownian particle in a piece-wise linear periodic potential and subject of spatially inhomogeneous temperature, otherwise known as the B{\"u}ttiker-Landauer motor. We obtain analytical…

统计力学 · 物理学 2022-11-09 Ronald Benjamin

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…

统计力学 · 物理学 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

We performed numerical experiments on a two-dimensional driven lattice gas, which constitutes a simple stochastic nonequilibrium many-body model. In this model, focusing on the behavior along the direction transverse to the external driving…

统计力学 · 物理学 2009-11-11 Kumiko Hayashi