Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in relaxation processes by measuring only a few observables, usin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013315 |
| _version_ | 1797210251951341568 |
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| author | Naruo Ohga Sosuke Ito |
| author_facet | Naruo Ohga Sosuke Ito |
| author_sort | Naruo Ohga |
| collection | DOAJ |
| description | Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in relaxation processes by measuring only a few observables, using additional information obtained from measurements in tilted equilibrium, i.e., equilibrium with external fields applied. Our method is applicable to arbitrary classical stochastic systems, possibly underdamped, that relax to equilibrium. The method allows us to compute the exact value of the minimum entropy production (EP) compatible with the nonstationary observations, giving a tight lower bound on the true EP. Under a certain additional condition, it also allows the inference of the EP rate, thermodynamic forces, and a constraint on relaxation paths. Our method uses a Legendre transform of EP at the level of probability distributions, which we develop based on a similar Legendre transform in information geometry. |
| first_indexed | 2024-04-24T10:07:38Z |
| format | Article |
| id | doaj.art-ae0607c8ae984e7fa4c543da9d2a6310 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:38Z |
| publishDate | 2024-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ae0607c8ae984e7fa4c543da9d2a63102024-04-12T17:40:45ZengAmerican Physical SocietyPhysical Review Research2643-15642024-03-016101331510.1103/PhysRevResearch.6.013315Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transformNaruo OhgaSosuke ItoNonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in relaxation processes by measuring only a few observables, using additional information obtained from measurements in tilted equilibrium, i.e., equilibrium with external fields applied. Our method is applicable to arbitrary classical stochastic systems, possibly underdamped, that relax to equilibrium. The method allows us to compute the exact value of the minimum entropy production (EP) compatible with the nonstationary observations, giving a tight lower bound on the true EP. Under a certain additional condition, it also allows the inference of the EP rate, thermodynamic forces, and a constraint on relaxation paths. Our method uses a Legendre transform of EP at the level of probability distributions, which we develop based on a similar Legendre transform in information geometry.http://doi.org/10.1103/PhysRevResearch.6.013315 |
| spellingShingle | Naruo Ohga Sosuke Ito Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform Physical Review Research |
| title | Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform |
| title_full | Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform |
| title_fullStr | Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform |
| title_full_unstemmed | Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform |
| title_short | Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform |
| title_sort | inferring nonequilibrium thermodynamics from tilted equilibrium using information geometric legendre transform |
| url | http://doi.org/10.1103/PhysRevResearch.6.013315 |
| work_keys_str_mv | AT naruoohga inferringnonequilibriumthermodynamicsfromtiltedequilibriumusinginformationgeometriclegendretransform AT sosukeito inferringnonequilibriumthermodynamicsfromtiltedequilibriumusinginformationgeometriclegendretransform |