Characterizing variable for the critical point in momentum space

The possible experimentally observable signal in momentum space for the critical point, which is free from the contamination of statistical fluctuations, is discussed. It is shown that the higher order scaled moment of transverse momentum can serve as an appropriate signal for the critical point, provided the transverse momentum distribution has a sudden change when energy increases passing through this point. A 2-D percolation model with a linear temperature gradient is constructed to check this suggestion. A sudden change of third order scaled moment of transverse momentum is observed.     

Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model

We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in the symmetric(disorder) and broken(order) phases, but that of the even-order one remains positive when it is far away from the phase boundary. When the critical point is approached from the crossover side, negative fourth-order magnetic susceptibility is observable. It is also demonstrated that non-monotonic behavior occurs in the temperature dependence of the generalized susceptibilities of the energy. The finite-size scaling behavior of the specific heat in this model is mainly controlled by the critical exponent of the magnetic susceptibility in the three-dimensional Ising universality class.     

Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions

By studying the critical phenomena in continuum-percolation of discs, we find a new approach to locate the critical point, i.e. using the inflection point of P∞ as an evaluation of the percolation threshold. The susceptibility, defined as the derivative of P∞, possesses a finite-size scaling property, where the scaling exponent is the reciprocal of v, the critical exponent of the correlation length. A possible application of this approach to the study of the critical phenomena in relativistic heavy ion collisions is discussed. The critical point for deconfinement can be extracted by the inflection point of PQGP -- the probability for the event with QGP formation. The finite-size scaling of its derivative can give the critical exponent v, which is a rare case that can provide an experimental measure of a critical exponent in heavy ion collisions.     

在电子-质子碰撞中识别瞬子末态方法的蒙特卡罗研究

在e⁺p深度非弹性散射的光子胶子融合过程中有可能出现瞬子. 这是 一类特殊的事件, 称为瞬子参与的深度非弹性散射事件. 本文用蒙特卡罗事件产生器QCDINS讨论了在瞬子参与的深度非弹性散射事件中识别瞬子末态和流喷注的方法. 对各种不同方法作了对比研究. 找到了一种能使重建得到的喷注能量、瞬子能量、瞬子质量与强子化前的取值均比较接近的最佳方法.     

Centrality and energy dependence of rapidity correlation patterns in relativistic heavy ion collisions

The centrality and energy dependence of rapidity correlation patterns are studied in Au+Au collisions by using AMPT with string melting, RQMD and UrQMD models. The behaviors of the short-range correlation (SRC) and the long-range correlation (LRC) are presented clearly by two spatial-position dependent correlation patterns. For centrality dependence, UrQMD and RQMD give similar results as those in AMPT, i.e., in most central collisions, the correlation structure is flatter and the correlation range is larger, which indicates a long range rapidity correlation. A long range rapidity correlation showing up in RQMD and UrQMD implies that parton interaction is not the only source of long range rapidity correlations. For energy dependence, AMPT with string melting and RQMD show quite different results. The correlation patterns in RQMD at low collision energies and those in AMPT at high collision energies have similar structures, i.e. a convex curve, while the correlation patterns in RQMD at high collision energies and those in AMPT at low collision energies show flat structures, having no position dependence. Long range rapidity correlation presents itself at high energy and disappears at low energy in RQMD, which also indicates that long range rapidity correlations may come from some trivial effects, rather than the parton interactions.     

System size in relativistic heavy ion collisions

System size is more than a geometrical quantity in relativistic heavy ion collisions; it is closely related to evolution process, i.e. a different system size corresponds to a different evolution process, and whether QGP is produced depends on the system size. We propose that the system size should be under the same level when comparing the measurements from different colliding nuclei. The equivalence of the peripheral collisions of Au-Au and the central collisions of smaller nuclei is studied using the Monte Carlo method. Comparing the transverse overlapping area of the colliding nuclei, the number of participant nucleons and the number of nucleon-nucleon binary collisions in various colliding nuclei, we give an estimate of the correspondence in system size. This is helpful in the experimental comparison of the measurements from different colliding nuclei.     

深度非弹性散射中QCD-瞬子末态的熵及热平衡性质

在蒙特-卡洛产生器 QCDINS 产生的瞬子参与的e-P深度非弹性散射事件中,用$r$ 排序法得到瞬子末态和喷注样本。研究了 R\'enyi熵$H_2$在快度空间中的标度性和相加性。在瞬子末态中观察到了 $H_2$ 随着相空间尺度的减小展现出来的渐进标度性。相比之下,喷注的$H_2$在相空间尺度减小时呈现出饱和趋势。而且,在瞬子末态中还观察到在不同快度位置的窄窗口中$H_2$的相加性很好地成立。这些结果表明,在瞬子参与的深度非弹性散射中的瞬子末态达到了局域平衡。     

Critical behavior of a dynamical percolation model

The critical behavior of the dynamical percolation model,which realizes the molecular-aggregation conception and describes the crossover between the hadronic phase and the partonic phase,is studied in detail. The critical percolation distance for this model is obtained by using the probability P∞ of the appearance of an infinite cluster. Utilizing the finite-size scaling method the critical exponents γ/ν and τ are extracted from the distribution of the average cluster size and cluster number density. The influences of two model related factors,i.e. the maximum bond number and the definition of the infinite cluster,on the critical behavior are found to be small.     

相对论重离子碰撞中逐事件横动量起伏的蒙特卡洛研究

用蒙特卡罗模型研究了相对论重离子碰撞中逐事件横动量起伏与多重数的关联, 发现蒙特卡罗产生器,HIJING,不能描述实验现象. 提出了一个简单的蒙特卡罗模型, 可以与实验一致, 有助于理解逐事件横动量起伏与多重数关联的动力学起源.