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Recently, Ryu et al. generalized Einstein's three coefficients for absorption, stimulated emission, and spontaneous emission between two quantum levels to a set of four spectra between two broadened bands. The spectra obey generalized…

Chemical Physics · Physics 2026-04-27 Aman K. Agrawal , Jisu Ryu , David M. Jonas

There remains a useful relation between diffusion and mobility for a Langevin particle in a periodic medium subject to nonconservative forces. The usual fluctuation-dissipation relation easily gets modified and the mobility matrix is no…

Statistical Mechanics · Physics 2015-03-17 Marco Baiesi , Christian Maes , Bram Wynants

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

Statistical Mechanics · Physics 2015-06-25 J. M. Rubi , A. Perez-Madrid

We study the thermal fluctuation induced interactions between two surfaces containing Brownian charges which are held at different temperatures. Using a dynamical form of Debye-H\"uckel theory implemented within the stochastic equation for…

Statistical Mechanics · Physics 2015-12-11 B. -S. Lu , D. S. Dean , R. Podgornik

Quantum Brownian motion, described by the Caldeira-Leggett model, brings insights to understand phenomena and essence of quantum thermodynamics, especially the quantum work and heat associated with their classical counterparts. By employing…

Statistical Mechanics · Physics 2021-12-15 Jin-Fu Chen , Tian Qiu , H. T. Quan

We study a Schilder-type large deviation principle for sticky-reflected Brownian motion with boundary diffusion, both at the static and sample path level in the short-time limit. A sharp transition for the rate function occurs, depending on…

Analysis of PDEs · Mathematics 2025-01-22 Jean-Baptiste Casteras , Leonard Monsaingeon , Luca Nenna

We report diffusion coeffcients of micron-scale liquid domains in giant unilamellar vesicles of phospholipids and cholesterol. The trajectory of each domain is tracked, and the mean square displacement grows linearly in time as expected for…

Soft Condensed Matter · Physics 2007-05-23 Pietro Cicuta , Sarah L. Keller , Sarah L. Veatch

In this presentation we overview some recent results on biased tracer diffusion in lattice gases. We consider both models in which the gas particles density is explicitly conserved and situations in which the lattice gas particles undergo…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , O. Benichou , S. F. Burlatsky , M. Moreau

Our Recent advancements in stochastic processes have illuminated a paradox associated with the Einstein model of Brownian motion. The model predicts an infinite propagation speed, conflicting with the second law of thermodynamics. The…

Analysis of PDEs · Mathematics 2024-07-24 Isanka Garli Hevage , Akif Ibraguimov , Zeev Sobol

We study how the Einstein relation between spontaneous fluctuations and the response to an external perturbation holds in the absence of currents, for the comb model and the elastic single-file, which are examples of systems with…

Statistical Mechanics · Physics 2015-05-27 D Villamaina , A Sarracino , G Gradenigo , A Puglisi , A Vulpiani

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

The Canham--Helfrich free-energy density for a lipid bilayer has drawn considerable attention. Aside from the mean and Gaussian curvatures, this free-energy density involves a spontaneous mean-curvature that encompasses information…

Biological Physics · Physics 2013-01-22 Brian Seguin , Eliot Fried

Starting from a careful analysis of the coupled Langevin equations for two interacting Brownian particles, we derive a method for extracting the binary friction tensor from the correlation function matrix of the instantaneous forces exerted…

Condensed Matter · Physics 2007-05-23 Lydéric Bocquet , Jean-Pierre Hansen , Jaroslaw Piasecki

We analyze a system of stochastic differential equations describing the joint motion of a massive (inert) particle in a viscous fluid in the presence of a gravitational field and a Brownian particle impinging on it from below, which…

Probability · Mathematics 2020-01-07 Sayan Banerjee , Brendan Brown

Through an Hamiltonian action we write down the system of equations of motions for a mixture of thermocapillary fluids under the assumption that the internal energy is a function not only of the gradient of the densities but also of the…

Fluid Dynamics · Physics 2008-01-15 Henri Gouin , Tommaso Ruggeri

We calculate the bulk-diffusion coefficient and the conductivity in a broad class of conserved-mass aggregation processes on a ring of discrete sites. These processes involve chipping and fragmentation of masses, which diffuse around and…

Statistical Mechanics · Physics 2021-05-12 Subhadip Chakraborti , Tanmoy Chakraborty , Arghya Das , Rahul Dandekar , Punyabrata Pradhan

The infrared dynamics of a minimally coupled scalar field in de Sitter spacetime can be described as Brownian motion of a particle in a medium of de Sitter temperature $T_{DS}=\frac{H}{2\pi}$. The system obeys a fluctuation-dissipation…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-02 Gerasimos Rigopoulos

Shear thickening of particle suspensions is characterized by a transition between lubricated and frictional contacts between the particles. Using 3D numerical simulations, we study how the inter-particle friction coefficient influences the…

Soft Condensed Matter · Physics 2020-01-08 Vishnu Sivadasan , Eric Lorenz , Alfons G. Hoekstra , Daniel Bonn

A new model is proposed to explain coiling of myelins composed of fluid bilayers. This model allows the constituent bilayer cylinders of a myelin to be non-coaxial and the bilayer lateral tension to vary from bilayer to bilayer. The…

Soft Condensed Matter · Physics 2009-11-11 Jung-Ren Huang