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

Abstract

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 (dMtot/dT ), second moment parameter (M2), intermediate mass fragment (IMF) multiplicity (NIMF ), 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 Tc and the critical exponent ν have been obtained for infinite nuclear matter.

Direct photon emission and influence of dynamical wave packets in an extended quantum molecular dynamics model

“…An extended quantum molecular dynamics model [21], as one of a few microscopic transport models which can give α-clusters with a nice computation performance, has succeeded in describing multifragmentation [22], giant dipole resonance [23][24][25][26], photonuclear reactions [27] as well as collective flow and shear viscosity etc [28,29] at Fermi energy. In comparison with the traditional QMD-type model and its many applications [30][31][32][33][34][35][36][37][38][39][40][41], the EQMD model has been improved in some aspects. For example, a phenomenological Pauli potential was added, the dynamical degree of wave packets was considered, and a friction cooling method for the initialization of nuclei was used.…”

Temperature and density effects on the two-nucleon momentum correlation function from excited single nuclei

“…However, the studies on properties of nuclear matter at finite temperatures are relatively limited. Many previous works mainly focus on the temperature dependence of hot nuclear matter and the nuclear liquid-gas phase transition (LGP T ) [5][6][7][8][9][10][11][12][13][14], the ratio between shear viscosity over entropy density (η/s) [15][16][17][18][19], as well as the nuclear giant dipole resonance [20][21][22] etc. Among above works, the relationship between the phase transition temperature and the source size has been investigated [5].…”

Specific heat and its high-order moments in relativistic heavy-ion collisions from a multiphase transport model

“…In partonic level, the Lattice QCD predicted the phase transition as a crossover at zero baryon-chemical potential (µ B = 0) but while a first order phase transition could occur at finite baryonic density T c [7][8][9][10][11][12][13]. In nucleonic level, a liquid gas phase transition can occur at sub-saturation density and finite temperature [14][15][16][17][18][19][20][21][22][23][24]. Physicists paid more attention to the temperature fluctuation with specific heat.…”