Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics
In discrete-state Markovian systems, many important properties of correlation functions and relaxation dynamics depend on the spectrum of the rate matrix. Here we demonstrate the existence of a universal trade-off between thermodynamic and spectral properties. We show that the entropy production rat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013082 |
| _version_ | 1797210284164644864 |
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| author | Artemy Kolchinsky Naruo Ohga Sosuke Ito |
| author_facet | Artemy Kolchinsky Naruo Ohga Sosuke Ito |
| author_sort | Artemy Kolchinsky |
| collection | DOAJ |
| description | In discrete-state Markovian systems, many important properties of correlation functions and relaxation dynamics depend on the spectrum of the rate matrix. Here we demonstrate the existence of a universal trade-off between thermodynamic and spectral properties. We show that the entropy production rate, the fundamental thermodynamic cost of a nonequilibrium steady state, bounds the difference between the eigenvalues of a nonequilibrium rate matrix and a reference equilibrium rate matrix. Using this result, we derive thermodynamic bounds on the spectral gap, which governs autocorrelation times and the speed of relaxation to a steady state. We also derive the thermodynamic bounds on the imaginary eigenvalues, which govern the speed of oscillations. We illustrate our approach using a simple model of biomolecular sensing. |
| first_indexed | 2024-04-24T10:08:09Z |
| format | Article |
| id | doaj.art-115d436fc057425f9d4f0e466b78c048 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:08:09Z |
| publishDate | 2024-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-115d436fc057425f9d4f0e466b78c0482024-04-12T17:38:23ZengAmerican Physical SocietyPhysical Review Research2643-15642024-01-016101308210.1103/PhysRevResearch.6.013082Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamicsArtemy KolchinskyNaruo OhgaSosuke ItoIn discrete-state Markovian systems, many important properties of correlation functions and relaxation dynamics depend on the spectrum of the rate matrix. Here we demonstrate the existence of a universal trade-off between thermodynamic and spectral properties. We show that the entropy production rate, the fundamental thermodynamic cost of a nonequilibrium steady state, bounds the difference between the eigenvalues of a nonequilibrium rate matrix and a reference equilibrium rate matrix. Using this result, we derive thermodynamic bounds on the spectral gap, which governs autocorrelation times and the speed of relaxation to a steady state. We also derive the thermodynamic bounds on the imaginary eigenvalues, which govern the speed of oscillations. We illustrate our approach using a simple model of biomolecular sensing.http://doi.org/10.1103/PhysRevResearch.6.013082 |
| spellingShingle | Artemy Kolchinsky Naruo Ohga Sosuke Ito Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics Physical Review Research |
| title | Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics |
| title_full | Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics |
| title_fullStr | Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics |
| title_full_unstemmed | Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics |
| title_short | Thermodynamic bound on spectral perturbations, with applications to oscillations and relaxation dynamics |
| title_sort | thermodynamic bound on spectral perturbations with applications to oscillations and relaxation dynamics |
| url | http://doi.org/10.1103/PhysRevResearch.6.013082 |
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