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The term file dynamics is the motion of many particles in a narrow channel.. In science: in chemistry, physics, mathematics and related fields, file dynamics (sometimes called, single file dynamics) is the diffusion of N (N → ∞) identical Brownian hard spheres in a quasi-one-dimensional channel of length L (L → ∞), such that the spheres do not jump one on top of the other, and the ...
Dissipative particle dynamics (DPD) is an off-lattice mesoscopic simulation technique [1] which involves a set of particles moving in continuous space and discrete time. Particles represent whole molecules or fluid regions, rather than single atoms, and atomistic details are not considered relevant to the processes addressed.
In pattern theory and computational vision in medical imaging, jump-diffusion processes were first introduced by Grenander and Miller [8] as a form of random sampling algorithm that mixes "focus"-like motions, the diffusion processes, with saccade-like motions, via jump processes.
For a system of particles with masses , with coordinates = that constitute a time-dependent random variable, the resulting Langevin equation is [2] [3] ¨ = ˙ + (), where () is the particle interaction potential; is the gradient operator such that () is the force calculated from the particle interaction potentials; the dot is a time derivative ...
Multi-particle collision dynamics (MPC), also known as stochastic rotation dynamics (SRD), [1] is a particle-based mesoscale simulation technique for complex fluids which fully incorporates thermal fluctuations and hydrodynamic interactions. [2] Coupling of embedded particles to the coarse-grained solvent is achieved through molecular dynamics. [3]
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies is a treatise and textbook on analytical dynamics by British mathematician Sir Edmund Taylor Whittaker. Initially published in 1904 by the Cambridge University Press, the book focuses heavily on the three-body problem and has since gone through four editions and has been ...
The work of a force on a particle along a virtual displacement is known as the virtual work. Historically, virtual work and the associated calculus of variations were formulated to analyze systems of rigid bodies, [1] but they have also been developed for the study of the mechanics of deformable bodies. [2]
A collection of such particle trajectories can be used for analyzing the Lagrangian dynamics of the fluid motion, for performing Lagrangian statistics of various flow quantities etc. [1] [2] In computational fluid dynamics , the Lagrangian particle tracking (or in short LPT method) is a numerical technique for simulated tracking of particle ...