Statistical mechanics of qp-bosons in D dimensions

Statistical mechanics of qp - bosons in D dimensions

Statistical mechanics of qp - bosons in D dimensions

ON qp-DEFORMATIONS IN STATISTICAL MECHANICS OF BOSONS IN D DIMENSIONS

The Bose distribution for a gas of nonrelativistic free bosons is derived in the framework of qp-deformed second quantization. Some thermodynamical functions for such a system in D dimensions are derived. Bose-Einstein condensation is discussed in terms of the parameters q and p as well as a parameter ν ′ 0 which characterizes the representation space of the oscillator algebra. The Bose distrib...

Statistical Mechanics of Optimal Convex Inference in High Dimensions

A fundamental problem in modern high-dimensional data analysis involves efficiently inferring a set of P unknown model parameters governing the relationship between the inputs and outputs of N noisy measurements. Various methods have been proposed to regress the outputs against the inputs to recover the P parameters. What are fundamental limits on the accuracy of regression, given finite signal...

Statistical mechanics of kinks in 1+1 dimensions.

We investigate the thermal equilibrium properties of kinks in a classical φ field theory in 1 + 1 dimensions. The distribution function, kink density, and correlation function are determined from large scale simulations. A dilute gas description of kinks is shown to be valid below a characteristic temperature. A double Gaussian approximation to evaluate the eigenvalues of the transfer operator ...