Symmetries, Conservation and Dissipation in Time-Dependent Contact Systems
Autor:
Gaset, Jordi
; López-Gordón, Asier
; Rivas, Xavier
Fecha:
2023Palabra clave:
Revista / editorial:
Fortschritte der PhysikCitación:
Gaset, J., López‐Gordón, A., & Rivas, X. (2023). Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems. Fortschritte der Physik, 2300048.Tipo de Ítem:
Articulo Revista IndexadaDirección web:
https://onlinelibrary.wiley.com/doi/10.1002/prop.202300048Resumen:
In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non-autonomous contact Hamiltonian systems is proved, characterizing a class of symmetries which are in bijection with dissipated quantities. Other classes of symmetries which preserve (up to a conformal factor) additional structures, such as the contact form or the Hamiltonian function, are also studied. Furthermore, making use of the geometric structures of the extended tangent bundle, additional classes of symmetries for time-dependent contact Lagrangian systems are introduced. The results are illustrated with several examples. In particular, the two-body problem with time-dependent friction is presented, which could be interesting in celestial mechanics.
Ficheros en el ítem
Nombre: Symmetries_Conservation_and_Dissipation.pdf
Tamaño: 2.754Mb
Formato: application/pdf
Este ítem aparece en la(s) siguiente(s) colección(es)
Estadísticas de uso
Año |
2012 |
2013 |
2014 |
2015 |
2016 |
2017 |
2018 |
2019 |
2020 |
2021 |
2022 |
2023 |
2024 |
Vistas |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
10 |
76 |
Descargas |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
5 |
12 |
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Time-dependent contact mechanics
de León, Manuel; Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier (Monatshefte fur Mathematik, 2023)Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this ... -
Multicontact formulation for non-conservative field theories
de León, Manuel; Gaset, Jordi; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso (Journal of Physics A: Mathematical and Theoretical, 2023)A new geometric structure inspired by multisymplectic and contact geometries, which we call multicontact structure, is developed to describe non-conservative classical field theories. Using the differential forms that ... -
Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
de León, Manuel; Lainz, Manuel; López-Gordón, Asier; Rivas, Xavier (Journal of Geometry and Physics, 2023)In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining ...