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Classical mechanics of nonconservative systems

Galley, Chad R

Physical review letters, 2013-04, Vol.110 (17), p.174301-174301, Article 174301 [Periódico revisado por pares]

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Título:
Classical mechanics of nonconservative systems
Autor: Galley, Chad R
É parte de: Physical review letters, 2013-04, Vol.110 (17), p.174301-174301, Article 174301
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Descrição: Hamilton's principle of stationary action lies at the foundation of theoretical physics and is applied in many other disciplines from pure mathematics to economics. Despite its utility, Hamilton's principle has a subtle pitfall that often goes unnoticed in physics: it is formulated as a boundary value problem in time but is used to derive equations of motion that are solved with initial data. This subtlety can have undesirable effects. I present a formulation of Hamilton's principle that is compatible with initial value problems. Remarkably, this leads to a natural formulation for the Lagrangian and Hamiltonian dynamics of generic nonconservative systems, thereby filling a long-standing gap in classical mechanics. Thus, dissipative effects, for example, can be studied with new tools that may have applications in a variety of disciplines. The new formalism is demonstrated by two examples of nonconservative systems: an object moving in a fluid with viscous drag forces and a harmonic oscillator coupled to a dissipative environment.
Editor: United States
Idioma: Inglês

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