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arXiv 1909.03161nucl-thnucl-ex
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核液-气相变探针的有限尺寸标度现象

Finite-size scaling phenomenon of nuclear liquid--gas phase transition probes

H. L. Liu, Y. G. Ma, D. Q. Fang

摘要:

基于同位旋相关的量子分子动力学模型,通过研究6个不同尺寸、初始密度相同、$N/Z$相似的热源的退激发过程,研究了有限尺寸标度效应对核液-气相变探针的影响.利用总多重数导数($dM_{tot}/dT$)、二阶矩参数($M_2$)、中间质量碎片(IMF)多重数($N_{IMF}$)、Fisher幂律指数($τ$)和Ma核Zipf定律指数($ξ$),建立了相变温度与源尺寸之间的关系.观察到由IMF多重数、Fisher指数和Ma核Zipf定律指数得到的相变温度与源的大小有很强的相关性。利用有限尺寸标度定律,得到了无限核物质的临界温度$T_c$和临界指数$ν$.

英文摘要:

Based on the isospin-dependent quantum molecular dynamics model, finite-size scaling effects on nuclear liquid--gas phase transition probes are investigated by studying the de-excitation processes of six thermal sources of different sizes with the same initial density and similar $N/Z$. Using several probes including the total multiplicity derivative ($dM_{tot}/dT$), second moment parameter ($M_2$), intermediate mass fragment (IMF) multiplicity ($N_{IMF}$), Fisher's power-law exponent ($τ$), and Ma's nuclear Zipf's law exponent ($ξ$), the relationship between the phase transition temperature and the source size has been established. It is observed that the phase transition temperatures obtained from the IMF multiplicity, Fisher's exponent, and Ma's nuclear Zipf's law exponent have a strong correlation with the source size. Moreover, by employing the finite-size scaling law, the critical temperature $T_c$ and the critical exponent $ν$ have been obtained for infinite nuclear matter.

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