黄礼胜, 罗荣祥. 二维气体模型中的负微分热阻[J]. 仁和官网, 2023, 72(1): 010501. DOI: 10.7498/aps.72.20221498
引用本文: 黄礼胜, 罗荣祥. 二维气体模型中的负微分热阻[J]. 仁和官网, 2023, 72(1): 010501. DOI: 10.7498/aps.72.20221498
Huang Li-Sheng, Luo Rong-Xiang. Negative differential thermal resistance in a two-dimensional gas model[J]. rhhz, 2023, 72(1): 010501. DOI: 10.7498/aps.72.20221498
Citation: Huang Li-Sheng, Luo Rong-Xiang. Negative differential thermal resistance in a two-dimensional gas model[J]. rhhz, 2023, 72(1): 010501. DOI: 10.7498/aps.72.20221498

二维气体模型中的负微分热阻

Negative differential thermal resistance in a two-dimensional gas model

  • 摘要: 负微分热阻效应是指在一个热输运系统中增大热流驱动力热流反倒减小的现象. 理解和控制非平衡热输运系统中的负微分热阻效应, 并利用其设计制造新功能热器件是科学技术的前沿挑战, 有着重要的理论意义和应用前景. 相对晶格模型中的负微分热阻研究而言, 流体模型中的负微分热阻性质还亟待认知. 本文选用由多粒子碰撞动力学描述的二维气体模型为研究对象, 理论证明了热库对气体粒子运动的约束是诱导负微分热阻的一个新机制, 并通过非平衡分子动力学方法揭示了该机制仅适用于弱相互作用的小尺寸系统. 这些结果为气体模型能表现出负微分热阻现象提供了微观机制的支持, 同时也为开发新的应用提供了新思路.

     

    Abstract: The negative differential thermal resistance (NDTR) effect refers to a phenomenon that may take place in a heat transport system where the heat current counterintuitively decreases as the temperature difference between heat baths increases. Understanding and controlling the NDTR properties of out-of-equilibrium systems and using them to design new functional thermal devices are the major challenges of modern science and technology, which has important theoretical significance and application prospects. Up to now, the various lattice models representing solid materials have been taken to study the NDTR properties, but the fluid models have not received enough attention. It has recently been shown that in one-dimensional hard-point gas models representing fluids, there is a mechanism for NDTR induced by heat baths. The mechanism for NDTR in such a system depends on the simple fact that decreasing the temperature of the cold bath can weaken the motion of particles and decrease the collision rate between particles and the hot bath, thus impeding thermal exchange between the cold and hot baths. In this paper, we study how this mechanism works in more general two-dimensional gas models described by multi-particle collision dynamics. The gas models we consider are in a finite rectangular region of two-dimensional space with each end in contact with a heat bath. Based on the analytical results and numerical simulations, we show that the mechanism underlying NDTR induced by heat baths is also in effect for two-dimensional gas models and is applicable for describing systems with small sizes and weak interactions. Our result, together with that previously obtained in one-dimensional gas models, provides strong evidence that gas systems can exhibit NDTR by decreasing the temperature of the heat bath, which sheds new light on the exploring direction for developing various fluidic thermal control devices.

     

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