111 citations · 515 across the 22 of their papers we have counts for
5 papers · 1 filter
Disordered hyperuniform modulated phases and the cosmic web from one free energy
Fausto Martelli
Disordered hyperuniformity spans twenty-five orders of magnitude, from the microscopic world of soft and condensed matter to the distribution of matter in the universe. We introduc…
The structure factor of primes
Ge Zhang, Fausto Martelli, Salvatore Torquato
Although the prime numbers are deterministic, they can be viewed, by some measures, as pseudo-random numbers. In this article, we numerically study the pair statistics of the prime…
Notes on the Hybrid Monte Carlo Method
Jeremy C. Palmer, Amir Haji-Akbari, Rakesh S. Singh +4
We discuss the detailed balance condition for hybrid Monte Carlo method
Large-scale structure and hyperuniformity of amorphous ices
Fausto Martelli, Salvatore Torquato, Nicolas Giovambattista +1
We investigate the large-scale structure of amorphous ices and transitions between their different forms by quantifying their large-scale density fluctuations. Specifically, we sim…
Density and bond-orientational relaxations in supercooled water
Jeremy C. Palmer, Rakesh S. Singh, Renjie Chen +2
Recent computational studies have reported evidence of a metastable liquid-liquid phase transition (LLPT) in molecular models of water under deeply supercooled conditions. A compet…