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Results tagged with correlation-functions
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user 259795
A correlation function is a statistical correlation between random variables at two different points in space, time, or other parameter space, usually as a function of the variable distance between these points. In QFT, field autocorrelation functions are propagators, so use the "propagator" tag, instead.
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Radial distribution function in a plane
I have a three-dimensional system of N particles. The particle positions are described by three coordinates $x$, $y$, $z$. For this system, I can calculate the Radial Distribution Function (RDF) in 3D …
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Calculating Fourier spectra of particle current autocorrelation functions
The particle current density can be defined as :
$$\textbf j(\textbf r,t)=\sum_{i=1}^{N} \textbf v_i\delta(\textbf r-\textbf r_i(t))$$
Its spatial Fourier transform :
$$\textbf j(\textbf k,t)=\sum_{i= …
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Determination of Intermediate Scattering Function in numerical simulation
The Fourier transform of single particle density :
$$\rho(\textbf{k},t)=\int\rho(\textbf r,t)\exp(-i\textbf k.\textbf r)d\textbf r=\sum_j \exp(-i\textbf k.\textbf r(t))$$
The Intermediate Scattering F …
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