TY - JOUR

T1 - Initial, non-exponential decay in billiards

AU - Willox, R.

AU - Antoniou, I.

AU - Levitan, J.

PY - 1997/2/17

Y1 - 1997/2/17

N2 - We show that the decay of correlation functions in a classical billiard is initially non-exponential, very much in the same way as in the case of the initial non-exponential era in quantum decay. We consider a two-dimensional Sinai billiard, a computer simulation of which shows that a specific correlation function displays an initial non-exponential decay. The initial non-exponential era is larger when the Lyapunov exponent is smaller. The onset of the exponential era corresponds to the onset of chaos in the system and the initial non-exponential era may be understood as the preparation time for the manifestation of chaos.

AB - We show that the decay of correlation functions in a classical billiard is initially non-exponential, very much in the same way as in the case of the initial non-exponential era in quantum decay. We consider a two-dimensional Sinai billiard, a computer simulation of which shows that a specific correlation function displays an initial non-exponential decay. The initial non-exponential era is larger when the Lyapunov exponent is smaller. The onset of the exponential era corresponds to the onset of chaos in the system and the initial non-exponential era may be understood as the preparation time for the manifestation of chaos.

UR - http://www.scopus.com/inward/record.url?scp=0039268781&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(96)00903-6

DO - 10.1016/S0375-9601(96)00903-6

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AN - SCOPUS:0039268781

SN - 0375-9601

VL - 226

SP - 167

EP - 171

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -