483 citations · 3.9k across the 134 of their papers we have counts for
7 papers · 1 filter
The statistical mechanics of traveling salesman type problems
David S. Dean, David Lancaster, Satya N. Majumdar
We study the finite temperature statistical mechanics of Hamiltonian paths between a set of N quenched randomly distributed points in a finite domain D. The energy of the path is a…
The thermal Casimir effect in lipid bilayer tubules
D. S. Dean, R. R. Horgan
We calculate the thermal Casimir effect for a dielectric tube of radius and thickness delta formed from a membrane in water. The method uses a field-theoretic approach in the g…
Understanding Search Trees via Statistical Physics
Satya N. Majumdar, David S. Dean, P. L. Krapivsky
We study the random m-ary search tree model (where m stands for the number of branches of a search tree), an important problem for data storage in computer science, using a variety…
Equilibrium statistics of a slave estimator in Langevin processes
David S. Dean, Ian T. Drummond, Ron R. Horgan +1
We analyze the statistics of an estimator, denoted by xi_t and referred to as the slave, for the equilibrium susceptibility of a one dimensional Langevin process x_t in a potential…
Perturbation theory for the effective diffusion constant in a medium of random scatterer
D. S. Dean, I. T. Drummond, R. R. Horgan +1
We develop perturbation theory and physically motivated resummations of the perturbation theory for the problem of a tracer particle diffusing in a random media. The random media c…
The two loop calculation of the disjoining pressure of a symmetric electrolyte soap film
D. S. Dean, R. R. Horgan
In this paper we consider the two-loop calculation of the disjoining pressure of a symmetric electrolytic soap film. We show that the disjoining pressure is finite when the loop ex…