On higher dimensional Poissonian pair correlation

Pair Correlation of Four-dimensional Flat Tori

1. Introduction. Berry and Tabor conjecture in [1] that the distribution of local spacings between the eigenvalues of the quantization of the Hamiltonian for generic completely integrable systems follows the distribution of local spacings between random numbers. (This is often called the " Poissonian " distribution.) In [5], Sarnak shows that the pair correlations of eigenvalues on almost all t...

Granular model of packet pair separation in Poissonian traffic

We introduce a theoretical model of packet pair separation based on a transient solution of the Takács integro-differential equation. We show that in addition to the parameters of the fluid approximation (physical bandwidth and the average cross traffic rate) a new parameter characterizing the granularity of the cross traffic is necessary. These three parameters determine the dynamics of the qu...

Pair-correlation function in two-dimensional lattice gases.

The pair-correlation function in two-dimensional lattice gases is computed by means of three discretized classical equations for the structure of liquids: the hypernetted-chain, the Percus-Yevick, and the crossover integral equations. The equations are numerically solved by an iteration procedure. Two different systems are considered: the Ising-Peierls lattice gas with nearest-neighbor interact...

Pair-correlation function in 2-dimensional lattice gases

Enhanced pair correlation functions in the two- dimensional Hubbard model

In this study we have computed the pair correlation functions in the two-dimensional Hubbard model using a quantum Monte Carlo method. We employ a new diagonalization algorithm in the quantum Monte Carlo method which is free from the negative sign problem. We show that the d-wave pairing correlation function is indeed enhanced slightly for the positive on-site Coulomb interaction U when doping ...