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5 papers · 1 filter
A determinantal formula for the GOE Tracy-Widom distribution
Patrik L. Ferrari, Herbert Spohn
Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We es…
Kinetic Limit for Wave Propagation in a Random Medium
Jani Lukkarinen, Herbert Spohn
We study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order epsilon^(1/2). The d…
The Continuum Potts Model at the Disorder-Order Transition -- a Study by Cluster Dynamics
Hans-Otto Georgii, Jozsef Lorinczi, Jani M. Lukkarinen
We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered…
Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
Patrik L. Ferrari
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. Through the Robinson-Schensted-Knuth (RSK) construction, one o…
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…