Concept

Langevin equation

Related publications (44)

Resonances arising from hydrodynamic memory in Brownian motion

László Forró, Flavio Maurizio Mor, Giuseppe Foffi, Sylvia Jeney, Maxim Belushkin, Matthias Grimm

Observation of the Brownian motion of a small probe interacting with its environment provides one of the main strategies for characterizing soft matter. Essentially, two counteracting forces govern the motion of the Brownian particle. First, the particle i ...

2011

Direct observation of the full transition from ballistic to diffusive Brownian motion in a liquid

Sylvia Jeney, Branimir Lukic

At timescales once deemed immeasurably small by Einstein, the random movement of Brownian particles in a liquid is expected to be replaced by ballistic motion. So far, an experimental verification of this prediction has been out of reach due to a lack of i ...

2011

Colored-Noise Thermostats à la Carte

Michele Ceriotti, Michele Parrinello

Recently, we have shown how a colored-noise Langevin equation can be used in the context of molecular dynamics as a tool to obtain dynamical trajectories whose properties are tailored to display desired sampling features. In the present paper, after having ...

2010

Model-Based Estimation of Three-Dimensional Stiffness Parameters in Photonic-Force Microscopy

Michaël Unser, Andrzej Kulik, Philippe Thévenaz, Elena Bertseva, Amardeep Singh

We propose a system to characterize the 3-D diffusion properties of the probing bead trapped by a photonic-force microscope. We follow a model-based approach, where the model of the dynamics of the bead is given by the Langevin equation. Our procedure comb ...

Institute of Electrical and Electronics Engineers2010

Spintronics: Conceptual Building Blocks

Jean-Philippe Ansermet

The purpose of this introduction to spintronics is to provide some elementary description of its conceptual building blocks. Thus, it is intended for a newcomer to the field. After recalling rudimentary descriptions of spin precession and spin relaxation, ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding

Ricardo Esteban Ruiz Baier

This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fashion, including an extra nonlinearity represented by a p-Laplacian diffusion ...

Wiley-Blackwell2009

A Lagrangian, stochastic modeling framework for multi-phase flow in porous media

Ivan Lunati, Manav Tyagi

Many of the complex physical processes relevant for compositional multi-phase flow in porous media are well understood at the pore-scale level. In order to study CO2 storage in sub-surface formations, however, it is not feasible to perform simulations at t ...

2008

Brownian motion studied with an optical trap

Branimir Lukic

This thesis describes measurements of Brownian motion of a colloidal particle using optical trapping. Two aspects are investigated: (i) influence of inertial effects on Brownian motion, and (ii) effect of the optical trap on Brownian motion. The first part ...

EPFL2008

The non-linear stochastic wave equation in high dimensions

Daniel Conus

The main topic of this thesis is the study of the non-linear stochastic wave equation in spatial dimension greater than 3 driven by spatially homogeneous Gaussian noise that is white in time. We are interested in questions of existence and uniqueness of so ...

EPFL2008

Some issues concerning large-eddy simulation of inertial particle dispersion in turbulent bounded flows

Alfredo Soldati

The problem of accurate Eulerian-Lagrangian modeling of inertial particle dispersion in large-eddy simulation (LES) of turbulent wall-bounded flows is addressed. We run direct numerical simulation (DNS) of turbulent channel flow at shear Reynolds number Re ...

2008

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