TY - GEN
T1 - Dirac Structures in Open Thermodynamics
AU - Yoshimura, Hiroaki
AU - Gay-Balmaz, François
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - Dirac structures are geometric objects that generalize Poisson structures and presymplectic structures on manifolds. They naturally appear in the formulation of constrained mechanical systems and play an essential role in the understanding of the interrelations between system elements in implicit dynamical systems. In this paper, we show how nonequilibrium thermodynamic systems can be naturally understood in the context of Dirac structures, by mainly focusing on the case of open systems, i.e., thermodynamic systems exchanging heat and matter with the exterior.
AB - Dirac structures are geometric objects that generalize Poisson structures and presymplectic structures on manifolds. They naturally appear in the formulation of constrained mechanical systems and play an essential role in the understanding of the interrelations between system elements in implicit dynamical systems. In this paper, we show how nonequilibrium thermodynamic systems can be naturally understood in the context of Dirac structures, by mainly focusing on the case of open systems, i.e., thermodynamic systems exchanging heat and matter with the exterior.
KW - Dirac dynamical systems
KW - Dirac structures
KW - Nonequilibrium thermodynamics
KW - Open systems
U2 - 10.1007/978-3-030-26980-7_21
DO - 10.1007/978-3-030-26980-7_21
M3 - Conference contribution
AN - SCOPUS:85077112611
SN - 9783030269791
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 199
EP - 208
BT - Geometric Science of Information - 4th International Conference, GSI 2019, Proceedings
A2 - Nielsen, Frank
A2 - Barbaresco, Frédéric
PB - Springer
T2 - 4th International Conference on Geometric Science of Information, GSI 2019
Y2 - 27 August 2019 through 29 August 2019
ER -