Using Theory of Non-Markovian Processes for Description of Heat Conduction in Space Surrounding the Spherical Particle

Authors: Morozov A.N., Skripkin A.V. Published: 28.08.2013
Published in issue: #1(40)/2011  

Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: non-Markovian random process, integral transform, characteristic function, heat conduction

The heat conduction process is considered in the space outside the spherical particle under conditions of fluctuations of heat flux through the particle surface. It is shown that the appropriate random changes in temperature and heat flux are non-Markovian processes and it is necessary to use integral stochastic equations for their description. Statistical characteristics of these fluctuations are found including characteristic functions, spectral densities, etc.