dorsal/arxiv
View SchemaScaling Properties of Hadron Production in the Ising Model for Quark-Hadron Phase Transition
| Authors | Zhen Cao, Yi Gao, Rudolph C. Hwa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9601011 |
| URL | https://arxiv.org/abs/nucl-th/9601011 |
| DOI | 10.1007/BF02909199 |
| Journal | Z.Phys. C72 (1996) 661-670 |
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, both d=2 and d=4 Ising systems are studied, the latter being theoretically closer to the Ginzberg-Landau theory. The normalized factorial moments F_q are used to quantify multiplicity fluctuations, and the scaling exponent \nu is used to characterize the scaling properties. It is found by simulation on the Ising lattice that \nu becomes a function of the temperature T near T_c. The average value of \nu over a range of T<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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"abstract": "Earlier study of quark-hadron phase transition in the Ginzberg-Landau theory\nis reexamined in the Ising model, so that spatial fluctuations during the\ntransition can be taken into account. Although the dimension of the physical\nsystem is 2, as will be argued, both d=2 and d=4 Ising systems are studied, the\nlatter being theoretically closer to the Ginzberg-Landau theory. The normalized\nfactorial moments F_q are used to quantify multiplicity fluctuations, and the\nscaling exponent \\nu is used to characterize the scaling properties. It is\nfound by simulation on the Ising lattice that \\nu becomes a function of the\ntemperature T near T_c. The average value of \\nu over a range of T\u003cT_c agrees\nwith the value of 1.3 derived analytically from the Ginzberg-Landau theory.\nThus the implications of the mean-field theory are not invalidated by either\nthe introduction of spatial fluctuations or the restriction to a 2D system.",
"arxiv_id": "nucl-th/9601011",
"authors": [
"Zhen Cao",
"Yi Gao",
"Rudolph C. Hwa"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/BF02909199",
"journal_ref": "Z.Phys. C72 (1996) 661-670",
"title": "Scaling Properties of Hadron Production in the Ising Model for Quark-Hadron Phase Transition",
"url": "https://arxiv.org/abs/nucl-th/9601011"
},
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