Introductory Statistical Mechanics for Electron Storage Rings

These lectures concentrate on statistical phenomena in electron storage rings. A stored electron beam is a dissipative, fluctuating system far from equilibrium whose mathematical description can be based upon non−equilibrium statistical mechanics. Stochastic differential equations are used to describe the quantum fluctuations of synchrotron radiation which is the main cause of randomness in electron dynamics. Fluctuating radiation reaction forces can be described via stochastic terms in Hamilton’s equations of motion. Normal modes of particle motion, radiation damping effects, quantum diffusion in single−particle phase space are all discussed in this statistical formalism. (AIP)

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