Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
We study a relationship between optimal transport theory and stochastic thermodynamics for the Fokker-Planck equation. We show that the lower bound on the entropy production is the action measured by the path length of the L^{2}-Wasserstein distance. Because the L^{2}-Wasserstein distance is a geome...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043093 |