Calculation of radial distribution functions for methane by wavelets in different temperatures and comparison with computer simulation results

As we know, the wavelet transform, a family of orthonormal bases, is introduced as a technique for performing multiresolution analysis in statistical mechanics. The wavelet transform is a hierarchical technique designed to separate data sets into sets representing local averages and local differences. The advantage of the wavelet transform, is as an approximation scheme for the efficient calculation of thermodynamic properties[۱]. In fact, wavelets analysis is a modern numerical tool that is an extension of the Fourier analysis [۵].in pervious articles, we used this method for water[۲] and methane[۳] in ۲۹۸K. In this article we have efforted to solve OZ equation for methane in different temperatures by using wavelets and their properties and compare the results with acquired results from the molecular dynamic (MD) simulations.

کلیدواژه ها:

Radial distribution function ، Ornstein-Zernike equation ، Wavelets