TY - GEN
T1 - Variational Approach to the Stochastic Thermodynamics of Langevin Systems
AU - Vaquero del Pino, Héctor
AU - Gay-Balmaz, François
AU - Yoshimura, Hiroaki
AU - Chew, Lock Yue
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.
PY - 2026/1/1
Y1 - 2026/1/1
N2 - In this paper, the first insights into a variational formulation of stochastic thermodynamics are presented for finite-dimensional Langevin systems. Following the variational approach in [4], the fundamental variational principle of classical mechanics is systematically extended to include irreversible and stochastic forces. By including thermodynamic entropy as an independent state variable in phase space, the conditions for thermodynamic consistency are derived extending the tools of stochastic thermodynamics, providing a new fluctuation-dissipation relation. The method is illustrated through a thermomechanical system.
AB - In this paper, the first insights into a variational formulation of stochastic thermodynamics are presented for finite-dimensional Langevin systems. Following the variational approach in [4], the fundamental variational principle of classical mechanics is systematically extended to include irreversible and stochastic forces. By including thermodynamic entropy as an independent state variable in phase space, the conditions for thermodynamic consistency are derived extending the tools of stochastic thermodynamics, providing a new fluctuation-dissipation relation. The method is illustrated through a thermomechanical system.
KW - Irreversible processes
KW - Stochastic thermodynamics
KW - Variational formulation
UR - https://www.scopus.com/pages/publications/105035335512
U2 - 10.1007/978-3-032-03921-7_20
DO - 10.1007/978-3-032-03921-7_20
M3 - Conference contribution
AN - SCOPUS:105035335512
SN - 9783032039200
T3 - Lecture Notes in Computer Science
SP - 193
EP - 203
BT - Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings
A2 - Nielsen, Frank
A2 - Barbaresco, Frédéric
PB - Springer Science and Business Media Deutschland GmbH
T2 - 7th International Conference on Geometric Science of Information, GSI 2025
Y2 - 29 October 2025 through 31 October 2025
ER -