Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 14: Solitons and Stochastic Dynamics

DY 14.4: Talk

Monday, March 8, 2004, 15:15–15:30, H2

Path Integral Solutions for Continuous Time Random Walks — •Adrian Baule — Institut für theoretische Physik, Westfälische Wilhelms-Universität, 48149 Münster

Continuous time random walks are successful in modelling the stochastic process underlying the velocity statistics of turbulence in a lagrangian framework. Recent experimental results motivate the investigation of two point probability density functions of the velocity increments. The knowledge of the joint probability distributions is required for definitely assessing the stochastic process of lagrangian motions. A path integral formulation of continuous time random walks is introduced and solutions are presented.