Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation

Details Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation

2008-10-20

arxiv.org/abs/0810.3636v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.79.021503

Recently, it was argued that a three-point susceptibility equal to the density derivative of the intermediate scattering function, $\chi_n(k;t) = d F(k;t)/d n$, enters into an expression for the divergent part of an integrated four-point dynamic density correlation function of a colloidal suspension [Berthier \textit{et al.}, J. Chem. Phys. \textbf{126}, 184503 (2007)]. We show that, within the mode-coupling theory, the equation of motion for $\chi_n(k;t)$ is essentially identical as the equation of motion for the $\mathbf{q}\to 0$ limit of the three-point susceptibility $\chi_{\mathbf{q}}(\mathbf{k};t)$ introduced by Biroli \textit{et al.} [Phys. Rev. Lett. \textbf{97}, 195701 (2006)]. We present a numerical solution of the equation of motion for $\chi_n(k;t)$. We also derive and numerically solve an equation of motion for the density derivative of the self-intermediate scattering function, $\chi_n^s(k;t) = d F^s(k;t)/d n$. We contrast the wave vector dependence of $\chi_n(k;t)$ and $\chi_n^s(k;t)$.

Affiliated with

Also associated with

No associations

Rating

Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-point susceptibilities $χ_n(k;t)$ and $χ_n^s(k;t)$: mode-coupling approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-266486