Large-deviations approach to thermalization: the case of harmonic chains with conservative noise
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914917381046272 |
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| author | Lepri, Stefano |
| author_facet | Lepri, Stefano |
| contents | We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving noise. For their associated master equations, describing the dynamics of normal modes energies, we compute the fluctuations of activity and dynamical entropy in the corresponding biased ensembles. First-order dynamical phase transition are found that originates from different activity regions in action space. At the transitions, the steady-state in the biased ensembles changes from extended to localized, yielding a kind of condensation in normal-modes space. For the disordered and quasi-periodic models, we argue that the phase-diagram has a critical point at a finite value of the disorder or potential strength. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_07712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large-deviations approach to thermalization: the case of harmonic chains with conservative noise Lepri, Stefano Statistical Mechanics We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving noise. For their associated master equations, describing the dynamics of normal modes energies, we compute the fluctuations of activity and dynamical entropy in the corresponding biased ensembles. First-order dynamical phase transition are found that originates from different activity regions in action space. At the transitions, the steady-state in the biased ensembles changes from extended to localized, yielding a kind of condensation in normal-modes space. For the disordered and quasi-periodic models, we argue that the phase-diagram has a critical point at a finite value of the disorder or potential strength. |
| title | Large-deviations approach to thermalization: the case of harmonic chains with conservative noise |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.07712 |