Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation
The Ising model does not have strictly defined dynamics, only a spectrum. There are different ways to equip it with time dependence, e.g., the Glauber or the Kawasaki dynamics, which are both stochastic, but it means there is a master equation that can also describe their dynamics. These equations c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2022-01-01
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| Series: | PLoS ONE |
| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8884623/?tool=EBI |
| _version_ | 1797983748377018368 |
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| author | Máté Tibor Veszeli Gábor Vattay |
| author_facet | Máté Tibor Veszeli Gábor Vattay |
| author_sort | Máté Tibor Veszeli |
| collection | DOAJ |
| description | The Ising model does not have strictly defined dynamics, only a spectrum. There are different ways to equip it with time dependence, e.g., the Glauber or the Kawasaki dynamics, which are both stochastic, but it means there is a master equation that can also describe their dynamics. These equations can be derived from the Redfield equation, where the spin system is weakly coupled to a bosonic bath. In this paper, we investigate the temperature dependence of the relaxation time of a Glauber-type master equation, especially in the case of the fully connected, uniform Ising model. The finite-size effects were analyzed with a reduced master equation and the thermodynamic limit with a time-dependent mean field equation. |
| first_indexed | 2024-04-11T06:51:00Z |
| format | Article |
| id | doaj.art-487c76734cf440ffbea866713bfa27b8 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-11T06:51:00Z |
| publishDate | 2022-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-487c76734cf440ffbea866713bfa27b82022-12-22T04:39:10ZengPublic Library of Science (PLoS)PLoS ONE1932-62032022-01-01172Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equationMáté Tibor VeszeliGábor VattayThe Ising model does not have strictly defined dynamics, only a spectrum. There are different ways to equip it with time dependence, e.g., the Glauber or the Kawasaki dynamics, which are both stochastic, but it means there is a master equation that can also describe their dynamics. These equations can be derived from the Redfield equation, where the spin system is weakly coupled to a bosonic bath. In this paper, we investigate the temperature dependence of the relaxation time of a Glauber-type master equation, especially in the case of the fully connected, uniform Ising model. The finite-size effects were analyzed with a reduced master equation and the thermodynamic limit with a time-dependent mean field equation.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8884623/?tool=EBI |
| spellingShingle | Máté Tibor Veszeli Gábor Vattay Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation PLoS ONE |
| title | Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| title_full | Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| title_fullStr | Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| title_full_unstemmed | Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| title_short | Relaxation of the Ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| title_sort | relaxation of the ising spin system coupled to a bosonic bath and the time dependent mean field equation |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8884623/?tool=EBI |
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