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 -