On the Dirac Approach to Constrained Dissipative Dynamics
经典物理
2009-11-07 v1 数学物理
math.MP
流体动力学
综合物理
摘要
In this paper, we propose a novel algebraic and geometric description for the dissipative dynamics. Our formulation bears some similarity to the Poisson structure for non-dissipative systems. We develop a canonical description for constrained dissipative systems through an extension of the Dirac brackets concept, and we present a new formula for calculating Dirac brackets. This formula is particularly useful in the description of dynamical systems with many second-class constraints. After presenting the necessary formal background we illustrate our method on several examples taken from particle dynamics, continuum media physics and wave mechanics.
引用
@article{arxiv.physics/0110065,
title = {On the Dirac Approach to Constrained Dissipative Dynamics},
author = {Sonnet Q H Nguyen and Lukasz A Turski},
journal= {arXiv preprint arXiv:physics/0110065},
year = {2009}
}
备注
22 pages, LaTeX document, pedagogical presentation