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cond-mat.stat-mech2020
Quantum kinetic theory: correlations and linking
John Hannay
Classically the kinetic theory for a perfect gas has zero spatial number density correlation between separate points because the particles are independent. But the joint spatial an…
cond-mat.stat-mech2019★ 2 cited
The correlated linking numbers of a Brownian loop with two arbitrary curves
J. H. Hannay
The standard kinetic path integral for all spatially closed Brownian paths (loops) of duration t weighted by the product mn is evaluated, where m and n are the linking numbers of t…
cond-mat.stat-mech2018★ 4 cited
Winding number correlation for a Brownian loop in a plane
J. H. Hannay
A Brownian loop is a random walk circuit of infinitely many, suitably infinitesimal, steps. In a plane such a loop may or may not enclose a marked point, the origin, say. If it doe…