An exact solution of the spin-spin autocorrelation function for a one-dimensional system of hard rods

G. Subramanian, D. Levitt, H. T. Davis

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown exactly that, in a one-dimensional system of hard rods with spins, the autocorrelation function of any function of spin F(w) decays as t-1 at long times provided that <F>eq exists and that g (0) ≠ 0, where g (v) is the linear velocity distribution function. As a consequence of this, when F(w) = w, the spin diffusion coefficient defined by the Kubo relation Ds = ∫0∫ <w(0)w(t)> X d t does not exist. The results are true for arbitrary initial equilibrium velocity and spin distributions, the only restriction being that they be symmetric.

Original languageEnglish (US)
Pages (from-to)247-250
Number of pages4
JournalJournal of Mathematical Physics
Volume16
Issue number2
DOIs
StatePublished - 1974

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