Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model
The one-dimensional rotor model is a classical momentum-conserving system that exhibits normal heat conduction, making it a valuable platform for studying thermal transport. Despite progress in understanding its transport properties, two key issues remain open: (1) whether a phase transition from no...
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| Format: | Article |
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American Physical Society
2025-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/cwfm-sx5b |
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| author | Sanmei He Jianjin Wang |
| author_facet | Sanmei He Jianjin Wang |
| author_sort | Sanmei He |
| collection | DOAJ |
| description | The one-dimensional rotor model is a classical momentum-conserving system that exhibits normal heat conduction, making it a valuable platform for studying thermal transport. Despite progress in understanding its transport properties, two key issues remain open: (1) whether a phase transition from normal to anomalous heat conduction occurs as temperature decreases and (2) how thermal conductivity κ depends on temperature. Using molecular dynamics simulations and Green-Kubo formalism, we demonstrate that although normal conduction may persist theoretically at any nonzero temperature, the exponentially increasing mean free path at low temperatures renders it practically unobservable, supporting the existence of an effective phase transition. Furthermore, we find that κ exhibits a double-exponential temperature dependence—κ∼e^{2.54T} at high temperatures and κ∼e^{0.49T} at low temperatures—with an intermediate power-law regime κ∼T^{−3.2} dominated by nonlinearity. To isolate the role of nonlinearity, we study a modified rotor model with suppressed phase jumps, which exhibits κ∼T^{−3.6}, confirming the influence of interaction nonlinearity. These findings deepen the understanding of temperature-dependent transport in low-dimensional systems. |
| format | Article |
| id | doaj-art-7f1fe3df80aa454a8e7b24414c5575c9 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-7f1fe3df80aa454a8e7b24414c5575c92025-08-20T04:02:40ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303314210.1103/cwfm-sx5bUnraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor modelSanmei HeJianjin WangThe one-dimensional rotor model is a classical momentum-conserving system that exhibits normal heat conduction, making it a valuable platform for studying thermal transport. Despite progress in understanding its transport properties, two key issues remain open: (1) whether a phase transition from normal to anomalous heat conduction occurs as temperature decreases and (2) how thermal conductivity κ depends on temperature. Using molecular dynamics simulations and Green-Kubo formalism, we demonstrate that although normal conduction may persist theoretically at any nonzero temperature, the exponentially increasing mean free path at low temperatures renders it practically unobservable, supporting the existence of an effective phase transition. Furthermore, we find that κ exhibits a double-exponential temperature dependence—κ∼e^{2.54T} at high temperatures and κ∼e^{0.49T} at low temperatures—with an intermediate power-law regime κ∼T^{−3.2} dominated by nonlinearity. To isolate the role of nonlinearity, we study a modified rotor model with suppressed phase jumps, which exhibits κ∼T^{−3.6}, confirming the influence of interaction nonlinearity. These findings deepen the understanding of temperature-dependent transport in low-dimensional systems.http://doi.org/10.1103/cwfm-sx5b |
| spellingShingle | Sanmei He Jianjin Wang Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model Physical Review Research |
| title | Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model |
| title_full | Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model |
| title_fullStr | Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model |
| title_full_unstemmed | Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model |
| title_short | Unraveling the challenges of phase transition and temperature-dependent thermal conductivity in the one-dimensional rotor model |
| title_sort | unraveling the challenges of phase transition and temperature dependent thermal conductivity in the one dimensional rotor model |
| url | http://doi.org/10.1103/cwfm-sx5b |
| work_keys_str_mv | AT sanmeihe unravelingthechallengesofphasetransitionandtemperaturedependentthermalconductivityintheonedimensionalrotormodel AT jianjinwang unravelingthechallengesofphasetransitionandtemperaturedependentthermalconductivityintheonedimensionalrotormodel |