Journal
PHYSICAL REVIEW E
Volume 90, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.042110
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Funding
- KAKENHI Grant from Japan Society for the Promotion of Science [22340114]
- KAKENHI Grant [22103005]
- Photon Frontier Network Program from MEXT of Japan
- Japan Society for the Promotion of Science through Program for Leading Graduate Schools (MERIT)
- Japan Society for the Promotion of Science through Advanced Leading Graduate Course for Photon Science (ALPS)
- JSPS [254105]
- Grants-in-Aid for Scientific Research [13J04105, 26287088] Funding Source: KAKEN
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We generalize nonequilibrium integral equalities to situations involving absolutely irreversible processes for which the forward-path probability vanishes and the entropy production diverges, rendering conventional integral fluctuation theorems inapplicable. We identify the mathematical origins of absolute irreversibility as the singularity of probability measure. We demonstrate the validity of the obtained equalities for several models.
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