1.
Phys Rev E
; 109(5): L052103, 2024 May.
Article
in English
| MEDLINE
| ID: mdl-38907505
ABSTRACT
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 σ model. It provides a basis for application of path integral methods to general dissipative and nonholonomic systems.