Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
DISTRIBUTION ENTROPY AS TOOL TO QUANTIFY DIFFUSION
Submission Author:
Gabriel Silva , SP , Brazil
Co-Authors:
Gabriel Silva, Rafael Gontijo
Presenter: Gabriel Silva
doi://10.26678/ABCM.ENCIT2018.CIT18-0483
Abstract
The use of distribution entropy is discussed in this work as a tool to quantify diffusional processes in the context of thermophoresis. We use an in-house code to simulate the dynamical behavior of nanoparticles immersed in a Newtonian fluid subjected to a temperature gradient. The deterministic motion of the particles from hotter to colder regions due to the isotropic nature of Brownian motion is investigated in terms of statistical analysis. First we bring a historical discussion regarding the terminology of the word "entropy". Then we show that some classical statistical tools used in the context of Langevin dynamics fail to capture the effect of the temperature field from a statistical perspective. Then we propose the use of distribution entropy as a tool to quantify these effects. The methodology used for this purpose is discussed in details and the results are physically interpreted.
Keywords
Brownian movement, distribution entropy, Diffusion, thermophoresis, colloids
