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On the Dirac Approach to Constrained Dissipative Dynamics

Sonnet Q H Nguyen·Lukasz A Turski
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Abstract

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.

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Sonnet Q H Nguyen, Lukasz A Turski. 2001-10-23. On the Dirac Approach to Constrained Dissipative Dynamics. https://doi.org/10.1088/0305-4470%2F34%2F43%2F312

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