# Tag: pair correlations

Categorized as: News

## “Structural Degeneracy in Pair Distance Distributions” is published in The Journal of Chemical Physics.

Read the full paper: here Link to the journal site: here A traditional basic descriptor of many-particle systems has been the distribution of interparticle pair distances. In the case of structureless particles at thermal equilibrium, with just additive pair interactions, this suffices to determine pressure and mean energy. However, it is usually the case that … Continue Reading “Structural Degeneracy in Pair Distance Distributions” is published in The Journal of Chemical Physics.

Categorized as: News

## “Hidden Multiscale Order in the Primes” is published in Journal of Physics A: Mathematical and Theoretical

Read the full paper: hereLink to the journal site: here We study the pair correlations between prime numbers in an interval $$M\leq p \leq M + L$$ with $$M\to \infty,~ L/M \to \beta > 0$$. By analyzing the structure factor, we prove, conditionally on the Hardy–Littlewood conjecture on prime pairs, that the primes are characterized … Continue Reading “Hidden Multiscale Order in the Primes” is published in Journal of Physics A: Mathematical and Theoretical