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Title: | Isometric Uncertainty Relations | Authors: | Vroylandt, Hadrien PROESMANS, Karel Gingrich, Todd R. |
Issue Date: | 2020 | Publisher: | SPRINGER | Source: | JOURNAL OF STATISTICAL PHYSICS, 178 (4) , p. 1039 -1053 | Abstract: | We generalize the link between fluctuation theorems and thermodynamic uncertainty relations by deriving a bound on the variance of fluxes that satisfy an isometric fluctuation theorem. The resulting bound, which depends on the system's dimension d, naturally interpolates between two known bounds. The bound derived from the entropy production fluctuation theorem is recovered for d=1\documentclass[12pt], and the original entropy production thermodynamic uncertainty relation is obtained in the d ->infinity\documentclass[12pt] limit. We show that our result can be generalized to order parameters in equilibrium systems, and we illustrate the results on a Heisenberg spin chain. | Notes: | Gingrich, TR (reprint author), Northwestern Univ, Dept Chem, 2145 North Sheridan Rd, Evanston, IL 60208 USA. hadrien.vroylandt@northwestern.edu; karel_proesmans@sfu.ca; todd.gingrich@northwestern.edu |
Keywords: | Isometric fluctuation theorem;Nonequilibrium steady state;Thermodynamic uncertainty relation;Broken symmetry | Document URI: | http://hdl.handle.net/1942/30661 | ISSN: | 0022-4715 | e-ISSN: | 1572-9613 | DOI: | 10.1007/s10955-020-02484-5 | ISI #: | WOS:000513280000010 | Rights: | Springer Science+Business Media, LLC, part of Springer Nature 2020 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
Appears in Collections: | Research publications |
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Vroylandt2020_Article_IsometricUncertaintyRelations.pdf Restricted Access | Published version | 419.96 kB | Adobe PDF | View/Open Request a copy |
IsometricTUR1 (3).pdf | Peer-reviewed author version | 397.47 kB | Adobe PDF | View/Open |
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