20 citations · 54 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Probability distribution for the Gaussian curvature of the zero level surface of a random function
John Hannay
A rather natural construction for a smooth random surface in space is the level surface of value zero, or 'nodal' surface f(x,y,z)=0, of a (real) random function f; the interface b…
Vortex reconnection rate, and loop birth rate, for a random wavefield
J. H. Hannay
A time dependent, complex scalar wavefield in three dimensions contains curved zero lines, wave 'vortices', that move around. From time to time pairs of these lines contact each ot…
An experiment on the shifts of reflected C-lines
W. Löffler, J. F. Nye, J. H. Hannay
An experiment is described that tests theoretical predictions on how C-lines incident obliquely on a surface behave on reflection. C-lines in a polarised wave are the analogues of…
Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane
Olivier Giraud, Andy Thain, John H. Hannay
The shrunk loop theorem presented here is an integral identity which facilitates the calculation of the relative probability (or probability amplitude) of any given topology that a…
Exact scattering theory for any straight reflectors in two dimensions
J. H. Hannay, A. Thain
The exact Green function for the scalar wave equation in a plane with any set of perfectly reflecting straight mirrors, which may be joined to form corners, is given as a diffracti…
Saddle points in the chaotic analytic function and Ginibre characteristic polynomial
M. R. Dennis, J. H. Hannay
Comparison is made between the distribution of saddle points in the chaotic analytic function and in the characteristic polynomials of the Ginibre ensemble. Realising the logarithm…