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cond-mat.stat-mech2011★ 23 cited
Diffusion in a logarithmic potential: scaling and selection in the approach to equilibrium
Ori Hirschberg, David Mukamel, Gunter M. Schütz
The equation which describes a particle diffusing in a logarithmic potential arises in diverse physical problems such as momentum diffusion of atoms in optical traps, condensation…
cond-mat.stat-mech2011★ 48 cited
Approach to equilibrium of diffusion in a logarithmic potential
Ori Hirschberg, David Mukamel, Gunter M. Schütz
The late-time distribution function P(x,t) of a particle diffusing in a one-dimensional logarithmic potential is calculated for arbitrary initial conditions. We find a scaling solu…