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Listar por tema "dissipation"

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    • Application of Herglotz's variational principle to electromagnetic systems with dissipation 

      Gaset, Jordi; Marin-Salvador, Adria (International Journal of Geometric Methods in Modern Physics, 2022)
      This work applies the contact formalism of classical mechanics and classical field theory, introduced by Herglotz and later developed in the context of contact geometry, to describe electromagnetic systems with dissipation. ...

    • Lagrangian-Hamiltonian formalism for cocontact systems 

      Rivas, Xavier; Torres, Daniel (Journal of Geometric Mechanics, 2023)
      In this paper we present a unified Lagrangian–Hamiltonian geometric formalism to describe time-dependent contact mechanical systems, based on the one first introduced by K. Kamimura and later formalized by R. Skinner and ...

    • Symmetries, Conservation and Dissipation in Time-Dependent Contact Systems 

      Gaset, Jordi; López-Gordón, Asier; Rivas, Xavier (Fortschritte der Physik, 2023)
      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 ...

    • 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 ...