A Treatise on Physical Quantity defined as Temperature in Nano Scale Phenomenon

(On the concept of Temperature formation and Thermal Conduction in Nano Scale)

Abstract

In this paper, I consider one dimensional Thermal Conduction Problem by two methods. One method is conventional ordinary Thermal Conduction Equation as one dimension. In there, Temperature is defined as Continuous Scalar Function T(x,t). On the other hand, if we think Thermal Conduction Problems from motion of molecules, then even in one dimension, we cannot think Temperature T(x,t) as one dimensional scalar quantity, but we must think Temperature as a quantity calculated from movements of molecules in a certain little volume ( dV = dx dy dz). So in this paper, I defined Temperature T(x,t) as Tij (x,t) ∈ dV, and consider the diffarence between conventional Thermal Conduction Analysis and Molecular Thermal Conduction Analysis.