Dynamical fluctuations in classical adiabatic processes: General description and their implications

Details Dynamical fluctuations in classical adiabatic processes: General description and their implications Dynamical fluctuations in classical adiabatic processes: General description and their implications

2010-09-19

arxiv.org/abs/1009.3623v3

Annals of Physics 327, 1202-1213 (2012)

Physics

Classical Physics

19 pages, no figures, discussion significantly expanded, published version

Scientific paper

10.1016/j.aop.2011.12.011

Dynamical fluctuations in classical adiabatic processes are not considered by the conventional classical adiabatic theorem. In this work a general result is derived to describe the intrinsic dynamical fluctuations in classical adiabatic processes. Interesting implications of our general result are discussed via two subtopics, namely, an intriguing adiabatic geometric phase in a dynamical model with an adiabatically moving fixed-point solution, and the possible "pollution" to Hannay's angle or to other adiabatic phase objects for adiabatic processes involving non-fixed-point solutions.

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