arXiv:2002.01750 Abstract | arXiv Analytics

arXiv:2002.01750 [cond-mat.stat-mech]Abstract References Reviews Resources

Everything you wish to know about correlations but are afraid to ask

Published 2020-02-05Version 1

We discuss the various definitions of time correlation functions and how to estimate them from experimental or simulation data. We start with the various definitions, both in real and in Fourier space, and explain how to extract from them a characteristic time scale. We then study how to estimate the correlation functions, i.e.\ how to obtain a good approximation to them from a sample of data obtained experimentally. Finally we discuss some practical details that arise in the actual computation of these estimates, and we describe some relevant algorithms.

Categories: cond-mat.stat-mech

Keywords: time correlation functions, characteristic time scale, fourier space, relevant algorithms, actual computation

Related articles: Most relevant | Search more

arXiv:2105.09575 [cond-mat.stat-mech] (Published 2021-05-20)

Time correlation functions for quantum systems: the case of harmonic oscillators

Vladislav Efremkin, Jean-Louis Barrat, Stefano Mossa, Markus Holzmann

arXiv:cond-mat/9910092 (Published 1999-10-07)

Transition from quantum to classical Heisenberg trimers: Thermodynamics and time correlation functions

D. Mentrup, H. -J. Schmidt, J. Schnack, Marshall Luban

arXiv:cond-mat/9906069 (Published 1999-06-04, updated 1999-06-05)

Measuring the Viscosity and Time Correlation Functions in a Microscopic Model of a Microemulsion

Songyun Qi, C. M. McCallum