Miscellaneous
Swetamber Das, Jason R. Green
Phys. Rev. E (Letter), 2024
Phys. Rev. E (Letter), 2024
arXiv
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APA
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Das, S., & Green, J. R. (2024). Maximum speed of dissipation. Phys. Rev. E (Letter).
Chicago/Turabian
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Das, Swetamber, and Jason R. Green. “Maximum Speed of Dissipation.” Phys. Rev. E (Letter), 2024.
MLA
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Das, Swetamber, and Jason R. Green. “Maximum Speed of Dissipation.” Phys. Rev. E (Letter), 2024.
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@misc{das2024a,
title = {Maximum speed of dissipation},
year = {2024},
journal = {Phys. Rev. E (Letter)},
author = {Das, Swetamber and Green, Jason R.}
}
Abstract
Physical systems powering motion or creating structure in a fixed amount of time dissipate energy and produce entropy. Here, we derive speed limits on dissipation from the classical, chaotic dynamics of many-particle systems: the inverse of the entropy irreversibly produced bounds the time to execute a physical process for deterministic systems out of equilibrium, Δt≥kB/s¯i. We relate this statistical-mechanical speed limit on the mean entropy rate to deterministic fluctuation theorems. For paradigmatic classical systems, such as those exchanging energy with a deterministic thermostat, there is a trade-off between the time to evolve to a distinguishable state and the heat flux, q¯Δt≥kBT. In all these forms, the inequality constrains the relationship between dissipation and time during any nonstationary process including transient excursions from steady states.
Physical systems powering motion or creating structure in a fixed amount of time dissipate energy and produce entropy. Here, we derive speed limits on dissipation from the classical, chaotic dynamics of many-particle systems: the inverse of the entropy irreversibly produced bounds the time to execute a physical process for deterministic systems out of equilibrium, Δt≥kB/s¯i. We relate this statistical-mechanical speed limit on the mean entropy rate to deterministic fluctuation theorems. For paradigmatic classical systems, such as those exchanging energy with a deterministic thermostat, there is a trade-off between the time to evolve to a distinguishable state and the heat flux, q¯Δt≥kBT. In all these forms, the inequality constrains the relationship between dissipation and time during any nonstationary process including transient excursions from steady states.