Adiabatic invariants as effective Hamiltonians
P. M. Bellan and R. J. Perkins, Orbit-averaged quantities, the classical Hellmann-Feynman theorem, and the magnetic flux enclosed by gyro-motion, Phys. Plasmas 22, 022108 (2015)
R. J. Perkins and P. M. Bellan, Wheels within Wheels: Hamiltonian Dynamics as a Hierarchy of Action Variables, Phys. Rev. Lett. 105, art 124301 (2010)
Adiabatic invariants and the ideal gas law
The conventional derivation of the ideal gas adiabatic law
PVgamma = constant
involves complex, non-intuitive arguments based on differences between specific heats at constant volume and constant pressure.
A new, intuitive derivation has been developed, based on the behavior of a particle bouncing elastically between two approaching walls. This derivation is in:
The derivation should be useful for a freshman physics class.
Return to home page