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math-ph2026
Egorov-Type Semiclassical Limits for Open Quantum Systems with a Bi-Lindblad Structure
Leonardo Colombo, Asier López-Gordón
This paper develops a bridge between bi-Hamiltonian structures of Poisson--Lie type, contact Hamiltonian dynamics, and the Gorini--Kossakowski--Sudarshan--Lindblad (GKSL) formalism…
math-ph2025
Geometric integrators for adiabatically closed simple thermodynamic systems
Jaime Bajo, Manuel de León, Asier López-Gordón
A variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced p…
math-ph2024
The geometry of dissipation
Asier López-Gordón
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation, different geometric frameworks for modelling non-conservative dynamics are considered. The obje…