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An Isaac Newton Institute Workshop

First-Passage and Extreme Value Problems in Random Processes

The random acceleration process, with applications to granular matter and polymers

29th June 2006

Author: Burkhardt, T (Temple University)


Some recent results for the equilibrium and non-equilibrium statistics of a particle which is randomly accelerated by Gaussian white noise are reviewed. The cases of motion on the half line x > 0 and motion on the finite line 0 < x < 1 with absorbing, partially absorbing, and inelastic boundary conditions are considered. The results for inelastic reflection at the boundary are of interest in connection with driven granular matter. The equilibrium properties of a semi-flexible polmer chain confined in a narrow cylindrical pore are also determined by the random acceleration process.