Heat Conduction In Koch Gas Model

In recent years more and more attention has been directed toward the problem of thermal conduction in low-dimensional systems, the micro-dynamics mechanism of thermal conduction is always a popular topic of study. As we know, the macroscopic thermal conduction obeys the Fourier heat conduction law. However, this theory does not always right in the occasion of one-dimension and two-dimension. As a result, this problem absorbs many people. In what conditions can product normal thermal conduction from the micro-dynamics mechanism? The paper will solve this problem.The first section of the paper summarizes the development of thermal conduction in low-dimensional systems and introduces the relationship between thermal conduction and thermal diffusion. Then it tells the basic method used in the model of thermal conduction in low-dimension: Molecular Dynamics Simulations and Dynamics Simulation. And then it introduces the relative information of fractal curve used in the paper and the main work of this paper. In the second section we introduce some one-dimensional lattice models and conclude the phenomena of them. Then we introduce the Billiard gas channel models. Firstly we depict some basic theories of simulations of Billiard gas channel models. Then we introduce the result of other study about the Billiard gas channel models in details. The third section of the paper mainly brings forward the method of building Koch Gas Channel Model and some methods of its simulation. The fourth section gives out the result of Koch Gas Channel Model simulation. We mainly simulate the Temperature Distribution and how heat flux changes with system size, and work out the relationship between the heat conductivity and system size in this model. Then we contrast these results with Billiard gas channel models mentioned before. At last, the paper introduces some improvements of the Koch Gas Channel Model and points out whether increasing its complexity can affect the property of thermal conduction.