Detrended fluctuation analysis of particle condensation on complex networks

It has been found that the structure of complex network has significant influence on the condensation of particles and the equilibrium state of particles is dynamical. We study here the fluctuation of particles on each individual node at equilibrium status and find that the particle distributions can be normalized to the same framework of Gaussian distribution, which is independent of the nodes and network structures, while their differences are reflected by the asymmetric degree of the distribution. By the approach of detrended fluctuation analysis we reveal that the correlation exponents of particle fluctuations may reflect the information of particle condensation and be useful in exploring the network structure.