Heat Conduction in Momentum-Conserving Fluids: From quasi-2D to 3D systems
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arXiv
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| Format: | Preprint |
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2026
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| author | Luo, Rongxiang Wen, Jiaqi Guo, Juncheng |
| author_facet | Luo, Rongxiang Wen, Jiaqi Guo, Juncheng |
| contents | Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to three-dimensional (3D) systems, we identify three distinct transport regimes: (i) a \emph{ballistic regime}, where thermal conductivity scales linearly with system size ($κ\sim L$) and the total heat current autocorrelation function $C(t)$ remains constant; (ii)~a \emph{kinetic regime}, characterized by size-independent $κ$ and exponentially decaying $C(t)$, demonstrating that normal heat conduction dominated by kinetic effects is far more ubiquitous than previously observed in 1D systems; and (iii)~a \emph{hydrodynamic regime}, where the q-2D system exhibits logarithmically divergent conductivity ($ κ\sim \ln L $ ) with $ C(t) \sim t^{-1} $ , while the 3D system displays finite $ κ$ and $ C(t) \sim t^{-3/2} $. Our results, observed in the hydrodynamic regime, quantitatively validate the scaling predictions for heat transport and reveal a clear dimensional crossover -- from 2D-like anomalous transport to 3D Fourier behavior. These results lay a foundation for understanding thermal transport in q-2D to 3D systems and have practical implications for the design of micro- and nanoscale thermal devices. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_10536 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heat Conduction in Momentum-Conserving Fluids: From quasi-2D to 3D systems Luo, Rongxiang Wen, Jiaqi Guo, Juncheng Statistical Mechanics Classical Physics Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to three-dimensional (3D) systems, we identify three distinct transport regimes: (i) a \emph{ballistic regime}, where thermal conductivity scales linearly with system size ($κ\sim L$) and the total heat current autocorrelation function $C(t)$ remains constant; (ii)~a \emph{kinetic regime}, characterized by size-independent $κ$ and exponentially decaying $C(t)$, demonstrating that normal heat conduction dominated by kinetic effects is far more ubiquitous than previously observed in 1D systems; and (iii)~a \emph{hydrodynamic regime}, where the q-2D system exhibits logarithmically divergent conductivity ($ κ\sim \ln L $ ) with $ C(t) \sim t^{-1} $ , while the 3D system displays finite $ κ$ and $ C(t) \sim t^{-3/2} $. Our results, observed in the hydrodynamic regime, quantitatively validate the scaling predictions for heat transport and reveal a clear dimensional crossover -- from 2D-like anomalous transport to 3D Fourier behavior. These results lay a foundation for understanding thermal transport in q-2D to 3D systems and have practical implications for the design of micro- and nanoscale thermal devices. |
| title | Heat Conduction in Momentum-Conserving Fluids: From quasi-2D to 3D systems |
| topic | Statistical Mechanics Classical Physics |
| url | https://arxiv.org/abs/2604.10536 |