Vázquez F, Márkus F, Gambár K
Department of Physics, Budapest University of Technology and Economics, Budafoki út 8, H-1521 Budapest, Hungary.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Mar;79(3 Pt 1):031113. doi: 10.1103/PhysRevE.79.031113. Epub 2009 Mar 18.
Recent progress in nanoscale materials science has pushed the basic research on physical effects while going to such length scales. Particularly, the study of size effects on heat conductivity has attracted much theoretical and experimental interest. In this work we explore the possibilities to study such kinds of phenomena through the quantization of the dynamic equations of a class of nonlinear heat transport macroscopic models. We develop a quantization procedure to search the energy level structure of one-dimensional nanosystems. The procedure may have applications in other fields of the physics of mesoscopic systems.
纳米尺度材料科学的最新进展在深入到如此小的长度尺度时推动了对物理效应的基础研究。特别是，尺寸对热导率影响的研究引起了诸多理论和实验方面的关注。在这项工作中，我们探索通过对一类非线性热传输宏观模型的动力学方程进行量子化来研究此类现象的可能性。我们开发了一种量子化程序来探寻一维纳米系统的能级结构。该程序可能在介观系统物理的其他领域有应用。
