TY - JOUR
T1 - Critical behavior in gravitational collapse of radiation fluid
T2 - A renormalization group (linear perturbation) analysis
AU - Koike, Tatsuhiko
AU - Hara, Takashi
AU - Adachi, Satoshi
PY - 1995
Y1 - 1995
N2 - A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the universality and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent β and the largest Lyapunov exponent Reκ of the perturbation is related by β=(Reκ)-1. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent β0.355 801 92, also in agreement with that obtained in numerical simulation.
AB - A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the universality and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent β and the largest Lyapunov exponent Reκ of the perturbation is related by β=(Reκ)-1. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent β0.355 801 92, also in agreement with that obtained in numerical simulation.
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U2 - 10.1103/PhysRevLett.74.5170
DO - 10.1103/PhysRevLett.74.5170
M3 - Article
AN - SCOPUS:0000360396
SN - 0031-9007
VL - 74
SP - 5170
EP - 5173
JO - Physical review letters
JF - Physical review letters
IS - 26
ER -