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Computer Simulation of LiquidsSecond Edition$
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Michael P. Allen and Dominic J. Tildesley

Print publication date: 2017

Print ISBN-13: 9780198803195

Published to Oxford Scholarship Online: November 2017

DOI: 10.1093/oso/9780198803195.001.0001

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How to analyse the results

How to analyse the results

Chapter:
(p.271) 8 How to analyse the results
Source:
Computer Simulation of Liquids
Author(s):

Michael P. Allen

Dominic J. Tildesley

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198803195.003.0008

In this chapter, practical guidance is given on the calculation of thermodynamic, structural, and dynamical quantities from simulation trajectories. Program examples are provided to illustrate the calculation of the radial distribution function and a time correlation function using the direct and fast Fourier transform methods. There is a detailed discussion of the calculation of statistical errors through the statistical inefficiency. The estimation of the error in equilibrium averages, fluctuations and in time correlation functions is discussed. The correction of thermodynamic averages to neighbouring state points is described along with the extension and extrapolation of the radial distribution function. The calculation of transport coefficients by the integration of the time correlation function and through the Einstein relation is discussed.

Keywords:   Pair-distribution-functions, time-correlation-functions, transport-coefficients, error-estimation, Einstein-relation

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