The Induction Phenomenon and Ergodicity in the Anharmonic Lattice Vibration

Abstract

It is shown that the induction phenomenon in the exchange of energies of normal modes found by computer experiments is an inherent property of the anharmonic lattice vibration and its behavior obeys the time reversal even after the elapse of the induction period. The instability of the normal modes when one mode is excited initially is related to the induction phenomenon, and is discussed by the application of the instability region of the Mathieu function. The exponential orbital separation is also shown to take place after the elapse of the induction period. This guarantees the C-property of the anharmonic lattice vibration.