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Bibliographic Details
Main Authors: Besharat, Afshin, Radkovski, Jury, Sibiryakov, Sergey
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2308.08695
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Table of Contents:
  • We show that the action of a dynamical system can be supplemented by an effective action for its environment to reproduce arbitrary coordinate dependent ohmic dissipation and gyroscopic forces. The action is a generalization of the harmonic bath model and describes a set of massless interacting scalar fields in an auxiliary space coupled to the original system at the boundary. A certain limit of the model implements nonholonomic constraints. In the case of dynamics with nonlinearly realized symmetries the effective action takes the form of a two-dimensional nonlinear sigma-model. It provides a basis for application of path integral methods to general dissipative and nonholonomic systems.