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Having a priori knowledge of the force acting on a noisy system it is possible to solve the issue relative to the interpretation of multiplicative noise terms (aka Ito-Stratonovich dilemma). We experimentally show that for a Brownian…

Soft Condensed Matter · Physics 2011-07-15 Giovanni Volpe , Laurent Helden , Thomas Brettschneider , Jan Wehr , Clemens Bechinger

The model of inelastic Maxwell particles (IMP) allows one to derive some exact results which show the strong influence of inelasticity on the nonequilibrium properties of a granular gas. The aim of this work is to propose a simple model…

Statistical Mechanics · Physics 2007-08-30 Andres Santos

The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

Numerical Analysis · Mathematics 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

Interior-boundary conditions (IBCs) have been suggested as a possibility to circumvent the problem of ultraviolet divergences in quantum field theories. In the IBC approach, particle creation and annihilation is described with the help of…

Mathematical Physics · Physics 2019-08-01 Matthias Lienert , Lukas Nickel

We consider the motion of a particle governed by a weakly random Hamiltonian flow. We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion. The main technical issue in the proof is to…

Mathematical Physics · Physics 2009-11-11 T. Komorowski , L. Ryzhik

The Clausius Virial theorem of Classical Kinetic Theory is used to evaluate the pressure of a suspension of small particles at equilibrium in an isotropic homogeneous and stationary turbulent flow. It then follows a similar approach to the…

Fluid Dynamics · Physics 2015-01-29 Michael W. Reeks

A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

Brownian particles interacting via repulsive soft-core potentials can spontaneously aggregate, despite repelling each other, and form periodic crystals of particle clusters. We study this phenomenon in low-dimensional situations (one and…

We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially-dependent diffusion coefficient of the form $D(x)\sim |x|^c$, at constant temperature. The particle's probability distribution function…

Statistical Mechanics · Physics 2016-08-03 Shaked Regev , Niels Grønbech-Jensen , Oded Farago

We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear…

Quantum Gases · Physics 2015-04-17 Pietro Massignan , Aniello Lampo , Jan Wehr , Maciej Lewenstein

Inertial particles in turbulent flows are characterised by preferential concentration and segregation and, at sufficient mass loading, dense particle clusters may spontaneously arise due to momentum coupling between the phases. These…

Fluid Dynamics · Physics 2019-01-30 Alessio Innocenti , Rodney O Fox , Sergio Chibbaro

We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the non-smooth contact dynamics approach (NSCD). The deformable bodies are simulated using a hyper-elastic neo-Hookean constitutive…

Soft Condensed Matter · Physics 2020-09-30 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

Dynamical Systems · Mathematics 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

Inertial particles in 2D driven by a Gaussian white noise forcing are considered. For two examples of the forcing (compressible and incompressible) upper and lower bounds are found for the mean number of caustics as a function of Stokes…

Mathematical Physics · Physics 2019-07-05 Leonid Piterbarg

Observing finite regions of a bigger system is a common experience, from microscopy to molecular simulations. In the latter especially, there is ongoing interest in predicting thermodynamic properties from tracking fluctuations in finite…

Soft Condensed Matter · Physics 2023-02-08 Thê Hoang Ngoc Minh , Benjamin Rotenberg , Sophie Marbach

We consider the pressure in the steady-state regime of three stochastic models characterized by self-propulsion and persistent motion and widely employed to describe the behavior of active particles, namely the Active Brownian particle…

Soft Condensed Matter · Physics 2017-08-02 Umberto Marini Bettolo Marconi , Claudio Maggi , Matteo Paoluzzi

Capture, selective collection and flight manipulation of airborne particulate are three important functional requirements in various actively growing aerosol technology applications. Aerodynamic drag, particle inertia and dielectrophoretic…

Soft Condensed Matter · Physics 2022-03-16 Pramodt Srinivasula , Rochish M Thaokar

Eulerian-Lagrangian models of particle-laden (multiphase) flows describe fluid flow and particle dynamics in the Eulerian and Lagrangian frameworks respectively. Regardless of whether the flow is turbulent or laminar, the particle dynamics…

We derive general analytical expressions for the time-averaged acoustic radiation force on a small spherical particle suspended in a fluid and located in an axisymmetric incident acoustic wave. We treat the cases of the particle being…

Fluid Dynamics · Physics 2025-10-30 Bjørn G. Winckelmann , Henrik Bruus