An Algorithm To Calculate Exactly The Expectation And Variance Of The Average Atmosphere In Self Avoiding Walks

Joint Meet on 19^th International Conference and Exhibition on Materials Science and Chemistry & 34^th International Conference on Nanomaterials and Nanotechnology

March 26-27, 2021 WEBINAR

Taniya Rose Abraham

Mahatma Gandhi University, Kerala, India

Posters & Accepted Abstracts: Bioceram Dev Appl

Abstract :

In a recent development reported that our calculations on reacting polyethylene gas, indicated that reacting Polyethylene grows as a rigid coil and collapses to a globular state after the reaction is complete. The program used in the calculation of the radial dimensions of growing polyethylene was a modification continuous configurational Boltzmann Biased direct Monte Carlo sampling method developed earlier by Jiro Sadanobu and William A. Goddard III. The method used in the above case was almost identical, except the Boltzmann Bias factor was not taken into account, i.e., the radial dimensions of each Polyethylene chain were not divided by the Bias factor and the sum of the radial dimensions for the sample taken was not divided by the sum of the Bias factors. In other words calculations on the radial dimension of growing Polyethylene were exactly analogous to calculations on growing self avoiding walks that had been carried out earlier. To explain the phenomenon observed in that paper, that is the absence of polymer collapse in the growing polyethylene chain, the authors had reported exact values of the expectation and standard deviation of the average atmosphere of self avoiding walks and growing self avoiding walks which were defined in that paper.

Biography :

Taniya Rose Abraham Currently working on a DST project under guidance of Dr.manikandan paranjothy , Assistant Professor (Chemistry) ,IITJ.She participate in International conference on Current Trends in Material Science , organized by AMMRC , MG University, Kerala and on Nov 15 , 2013.