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Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature.

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Title: Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature.
Authors: Beyen, Aaron1 (AUTHOR), Khodabandehlou, Faezeh1 (AUTHOR), Maes, Christian1 (AUTHOR) christian.maes@kuleuven.be
Source: Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 19, p1-20. 20p.
Subjects: Jump processes, Thermodynamics, Entropy, Non-equilibrium reactions, Aharonov-Bohm effect, Geometric quantum phases, Thermodynamic functions
Abstract: We investigate how introducing slow, time-dependent perturbations to a steady, nonequilibrium process alters the expected (excess) values of important observables, such as the dynamical activity and entropy flux. When we make a cyclic thermodynamic transformation, the excesses are described in terms of a (geometric) Berry phase with corresponding Berry potential and Berry curvature quantifying the response. Focussing on Markov jump processes, we show how a non-zero Berry curvature leads to a breakdown of the thermodynamic Maxwell relations and of the Clausius heat theorem. We also present a variant of the Aharonov–Bohm effect in which the parameters follow a curve with vanishing Berry curvature, but the system still experiences a nonzero Berry phase. Finally, we identify (sufficient) no-localization conditions in terms of mean first-passage times under which the corresponding Berry potentials and curvatures vanish at absolute zero, extending, for arbitrary driving, e.g. the case of vanishing heat capacity as for the Nernst postulate. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193894256
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PubTypeId: academicJournal
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  Data: Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature.
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  Data: <searchLink fieldCode="AR" term="%22Beyen%2C+Aaron%22">Beyen, Aaron</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Khodabandehlou%2C+Faezeh%22">Khodabandehlou, Faezeh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Maes%2C+Christian%22">Maes, Christian</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> christian.maes@kuleuven.be</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 2026, Vol. 59 Issue 19, p1-20. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Jump+processes%22">Jump processes</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy%22">Entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Non-equilibrium+reactions%22">Non-equilibrium reactions</searchLink><br /><searchLink fieldCode="DE" term="%22Aharonov-Bohm+effect%22">Aharonov-Bohm effect</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+quantum+phases%22">Geometric quantum phases</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamic+functions%22">Thermodynamic functions</searchLink>
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  Data: We investigate how introducing slow, time-dependent perturbations to a steady, nonequilibrium process alters the expected (excess) values of important observables, such as the dynamical activity and entropy flux. When we make a cyclic thermodynamic transformation, the excesses are described in terms of a (geometric) Berry phase with corresponding Berry potential and Berry curvature quantifying the response. Focussing on Markov jump processes, we show how a non-zero Berry curvature leads to a breakdown of the thermodynamic Maxwell relations and of the Clausius heat theorem. We also present a variant of the Aharonov–Bohm effect in which the parameters follow a curve with vanishing Berry curvature, but the system still experiences a nonzero Berry phase. Finally, we identify (sufficient) no-localization conditions in terms of mean first-passage times under which the corresponding Berry potentials and curvatures vanish at absolute zero, extending, for arbitrary driving, e.g. the case of vanishing heat capacity as for the Nernst postulate. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193894256
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      – Type: doi
        Value: 10.1088/1751-8121/ae6ade
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Thermodynamics
        Type: general
      – SubjectFull: Entropy
        Type: general
      – SubjectFull: Non-equilibrium reactions
        Type: general
      – SubjectFull: Aharonov-Bohm effect
        Type: general
      – SubjectFull: Geometric quantum phases
        Type: general
      – SubjectFull: Thermodynamic functions
        Type: general
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      – TitleFull: Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature.
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            NameFull: Beyen, Aaron
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            NameFull: Khodabandehlou, Faezeh
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            NameFull: Maes, Christian
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            – D: 22
              M: 05
              Text: 2026
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              Y: 2026
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            – TitleFull: Journal of Physics A: Mathematical & Theoretical
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