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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…
Double groupoids of composites: applications to uniformity
V. M. Jiménez, M. De León, M. Epstein
In this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformi…
Graded Poisson and Graded Dirac structures
Manuel de León, Rubén Izquierdo-López
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field…
A geometric description of some thermodynamical systems
Manuel de León, Jaime Bajo
In this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtain…
Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
Leonardo Colombo, Manuel de León, MarÃa Emma Eyrea Irazú +1
A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics…