Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

Dynamic structure factor is the spatial and temporal Fourier transform of Van Hoves time dependent pair correlation function. It is written as

$$ S(k,\omega)= \frac{1}{2\pi}\int F(k,t)\exp(i\omega t)dt $$

$F(k,t)$ is intermediate scattering function. My question is how did we use spatial and temporal Fourier Transform of Van Hoves to get dynamic structure factor? and what does spatial and temporal Fourier transform mean?

share|improve this question
add comment

1 Answer 1

up vote 1 down vote accepted

A spatial Fourier transform means a Fourier transform in the spatial variable ($x\rightarrow k$), while a temporal Fourier transform is the same transformation, but in terms of the time variable ($t\rightarrow \omega$). The equation you have written is the (asymmetric) temporal Fourier transform of $F(k,t)$. The spatial transform looks like some variation of \begin{equation} F(k,t) = \frac{1}{2\pi} \int G(x,t)e^{i k x} dx \end{equation} where $G(x,t)$ is the (one-dimensional) Van Hove function.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.