傅里叶定律在具有非对称粒子间相互作用的一维动量守恒晶格中的有效性。

Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions.

作者信息

Wang Lei, Hu Bambi, Li Baowen

机构信息

Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China and Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546.

Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546 and Department of Physics, University of Houston, Houston, Texas 77204-5005, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052112. doi: 10.1103/PhysRevE.88.052112. Epub 2013 Nov 11.

DOI:10.1103/PhysRevE.88.052112

PMID:24329219

Abstract

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current power spectra analysis. Very strong finite-size effects are clearly observed. Such effects make the heat conduction obey a Fourier-like law in a wide range of lattice lengths. However, in yet longer lattice lengths, the heat conductivity regains its power-law divergence. Therefore, the power-law divergence of the heat conductivity in the thermodynamic limit is verified, as is expected by many existing theories.

摘要

我们通过非平衡热浴方法、平衡格林 - 库博方法以及热流功率谱分析，对一些具有非对称粒子间相互作用的一维动量守恒晶格中的热传导进行了数值研究。清晰地观察到了非常强的有限尺寸效应。这些效应使得热传导在很宽的晶格长度范围内遵循类似傅里叶定律。然而，在更长的晶格长度下，热导率又恢复了其幂律发散。因此，正如许多现有理论所预期的那样，验证了热力学极限下热导率的幂律发散。