arXiv subjects

Xu Cai

Publications and source records attributed to Xu Cai.

79 records · Page 5Linked to original sources

arXiv2006

The macro-behavior of agents' opinion under the influence of an external field

In this paper, a model about the evolution of opinion on small world networks is proposed. We studied the macro-behavior of the agents' opinion and the relative change rate as time elapses. The external field was found to play an important role in making the opinion $s(t)$ balance or increase, and without the influence of the external field, the relative change rate $γ(t)$ shows a nonlinear increasing behavior as time runs. What's more, this nonlinear increasing behavior is independent of the initial condition, the strength of the external field and the time that we cancel the external field. Maybe the results can reflect some phenomenon in our society, such as the function of the macro-control in China or the Mass Media in our society.

nlin.PS↗

arXiv2006

A self-organized particle moving model on scale free network with $1/f^{2}$ behavior

In this paper we propose a self-organized particle moving model on scale free network with the algorithm of the shortest path and preferential walk. The over-capacity property of the vertices in this particle moving system on complex network is studied from the holistic point of view. Simulation results show that the number of over-capacity vertices forms punctuated equilibrium processes as time elapsing, that the average number of over-capacity vertices under each local punctuated equilibrium process has power law relationship with the local punctuated equilibrium value. What's more, the number of over-capacity vertices has the bell-shaped temporal correlation and $1/f^{2}$ behavior. Finally, the average lifetime $L(t)$ of particles accumulated before time $t$ is analyzed to find the different roles of the shortest path algorithm and the preferential walk algorithm in our model.

nlin.AO↗

arXiv2006

Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes

Recent work, which treats the Hawking radiation as a semi-classical tunneling process at the horizon of the Schwarzschild and Reissner-Nordstrom spacetimes, indicates that the exact radiant spectrum is no longer pure thermal after considering the black hole background as dynamical and the conservation of energy. In this paper, we extend the method to investigate Hawking radiation as massless particles tunneling across the event horizon of the Kerr black hole and that of charged particles from the Kerr-Newman black hole by taking into account the energy conservation, the angular momentum conservation, and the electric charge conservation. Our results show that when self-gravitation is considered, the tunneling rate is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum, but is consistent with an underlying unitary theory.

hep-th↗

arXiv2003

Net charge fluctuation and string fragmentation

We present simulation results of net charge fluctuation in $Au+Au$ collisions at $\sqrt{s_{nn}}$=130 GeV from a dynamic model, JPCIAE. The calculations are done for the quark-gluon phase before hadronization, the pion gas, the resonance pion gas from $ρ$ and $ω$ decays and so on. The simulations of the charge fluctuation show that the discrepancy exists between the dynamic model and the thermal model for a pion gas and a resonance pion gas from $ρ$ and $ω$ decays while the simulated charge fluctuation of the quark-gluon phase is close to the thermal model prediction. JPCIAE results of net charge fluctuation in the hardonic phase are nearly 4-5 times larger than one for the quark-gluon phase, which implies that the charge fluctuation in the quark-gluon phase may not survive the hadronization (string fragmentation) as implemented in JPCIAE.

nucl-th↗

arXiv2002

Behavior of the charge fluctuation in relativistic nucleus-nucleus collisions

Using a hadron and string cascade model, JPCIAE, we investigated the dependence of event-by-event charge fluctuation on the energy, centrality, window size, resonance decay, and the final state interaction for $Pb+Pb$ collisions at SPS and LHC energies and $Au+Au$ collisions at RHIC energies. The JPCIAE results of charge fluctuation as a function of the rapidity window size in $Pb+Pb$ collisions at SPS energies were compared with the preliminary NA49 data. Comparisons with STAR and PHENIX data of $Au+Au$ collisions at $\sqrt{s_{nn}}$=130 GeV were also given. It seems that the final state interaction and resonance decay play a gentle role on the charge fluctuations. The charge fluctuations are slightly decreasing with or nearly independent of the reaction energy and hardly depend on the collision centrality.

nucl-th↗

arXiv2002

Energy dependence of string fragmentation function and $ϕ$ meson production

The $ϕ$ meson productions in $Au+Au$ and/or $Pb+Pb$ collisions at AGS, SPS, RHIC, and LHC energies have been studied systematically with a hadron and string cascade model LUCIAE. After considering the energy dependence of the model parameter $α$ in string fragmentation function and adjusting it to the experimental data of charged multiplicity to a certain extent, the model predictions for $ϕ$ meson yield, rapidity, and/or transverse mass distributions are compatible with the experimental data at AGS, SPS and RHIC energies. A calculation for $Pb+Pb$ collisions at LHC energy is given as well. The obtained fractional variable in string fragmentation function shows a saturation in energy dependence. It is discussed that the saturation of fractional variable in string fragmentation function might be a qualitative representation of the energy dependence of nuclear transparency.

nucl-th↗

arXiv2002

Charged multiplicity density and number of participant nucleons in relativistic nuclear collisions

The energy and centrality dependences of charged particle pseudorapidity density in relativistic nuclear collisions were studied using a hadron and string cascade model, JPCIAE. Both the relativistic $p+\bar p$ experimental data and the PHOBOS and PHENIX $Au+Au$ data at RHIC energy could be fairly reproduced within the framework of JPCIAE model and without retuning the model parameters. The predictions for $Pb+Pb$ collisions at the LHC energy were also given. We computed the participant nucleon distributions using different methods. It was found that the number of participant nucleons is not a well defined variable both experimentally and theoretically. Thus it may be inappropriate to use the charged particle pseudorapidity density per participant pair as a function of the number of participant nucleons for distinguishing various theoretical models. A discussion for the effect of different definitions in nuclear radius (diffused or sharp) was given.

nucl-th↗