Infinite-temperature thermostats by energy localization in a nonequilibrium setup
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913860627202048 |
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| author | Giusfredi, Michele Iubini, Stefano Politi, Antonio Politi, Paolo |
| author_facet | Giusfredi, Michele Iubini, Stefano Politi, Antonio Politi, Paolo |
| contents | Some lattice models having two conservation laws may display an equilibrium phase transition from a homogeneous (positive temperature - PT) to a condensed (negative temperature) phase, where a finite fraction of the energy is localized in a few sites. We study one such stochastic model in an out-of-equilibrium setup, where the ends of the lattice chain are attached to two PT baths. We show that localized peaks may spontaneously emerge, acting as infinite-temperature heat baths. The number $N_b$ of peaks is expected to grow in time $t$ as $N_b \sim \sqrt{\ln t}$, as a consequence of an effective freezing of the dynamics. Asymptotically, the chain spontaneously subdivides into three intervals: the two external ones lying inside the PT region; the middle one characterized by peaks superposed to a background lying along the infinite-temperature line. In the thermodynamic limit, the Onsager formalism allows determining the shape of the whole profile. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite-temperature thermostats by energy localization in a nonequilibrium setup Giusfredi, Michele Iubini, Stefano Politi, Antonio Politi, Paolo Statistical Mechanics Some lattice models having two conservation laws may display an equilibrium phase transition from a homogeneous (positive temperature - PT) to a condensed (negative temperature) phase, where a finite fraction of the energy is localized in a few sites. We study one such stochastic model in an out-of-equilibrium setup, where the ends of the lattice chain are attached to two PT baths. We show that localized peaks may spontaneously emerge, acting as infinite-temperature heat baths. The number $N_b$ of peaks is expected to grow in time $t$ as $N_b \sim \sqrt{\ln t}$, as a consequence of an effective freezing of the dynamics. Asymptotically, the chain spontaneously subdivides into three intervals: the two external ones lying inside the PT region; the middle one characterized by peaks superposed to a background lying along the infinite-temperature line. In the thermodynamic limit, the Onsager formalism allows determining the shape of the whole profile. |
| title | Infinite-temperature thermostats by energy localization in a nonequilibrium setup |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2503.04461 |