Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
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Finite size effects (numerically tested)<br />
For small system, the wave packet cannot spread out.<br />
No long tail can develop. Radiated energy from resonances<br />
remains confined and interacts again with the core of the wavepacket.<br />
Initial Chaos persists forever there is (roughly) energy equipartition<br />
after long enough time (unless the initial solution generates<br />
a KAM torus)<br />
For an infinite system the energy of the initial wave packet is not extensive<br />
and corresponds to zero temperature. It cannot thermalize.<br />
For an FINITE system, initial chaos of the wavepacket (if<br />
any) persist at any time while it spontaneously disappears<br />
for an INFINITE system. Then, the wavepacket<br />
slowly converges to a nonvanishing quasiperiodic limit<br />
profile.<br />
<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />
LLB, FRANCE
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