Scaling properties of hadron production in the Ising model for quark-hadron phase transition |
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Authors: | Zhen Cao Yi Gao Rudolph C Hwa |
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Institution: | 1. Institute of Theoretical Science and Department of Physics, University of Oregon, 97403, Eugene, OR, USA
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Abstract: | Earlier study of quark-hadron phase transition in the Ginzberg-Landau theory is reexamined in the Ising model, so that spatial
fluctuations during the transition can be taken into account. Although the dimension of the physical system is 2, as will
be argued, bothd=2 andd=4 Ising systems are studied, the latter being theoretically closer to the Ginzberg-Landau theory. The normalized factorial
momentsF
q
are used to quantify multiplicity fluctuations, and the scaling exponentν is used to characterize the scaling properties. It is found by simulation on the Ising lattice thatν becomes a function of the temperatureT nearT
c
. The average value ofν over a range ofT<T
c
agrees with the value of 1.3 derived analytically from the Ginzberg-Landau theory. Thus the implications of the mean-field
theory are not invalidated by either the introduction of spatial fluctuations or the restriction to a 2D system. |
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Keywords: | |
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