Publications related to Correlation function (statistical mechanics)

Phase retrieval in high dimensions: Statistical and computational phase transitions

Florent Gérard Krzakala, Lenka Zdeborová, Bruno Loureiro, Bruno Loureiro

We consider the phase retrieval problem of reconstructing a n -dimensional real or complex signal X ⋆ from m (possibly noisy) observations Y μ = | ∑ n i = 1 Φ μ i X ⋆ i / √ n | , for a large class of correlated real and complex random sensing matrices Φ , ...

Curran Associates, Inc.2020

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

Henrik Moodysson Rønnow, Dmitri Ivanov, Bastien Dalla Piazza, Noore Elahi Shaik

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and instantaneous spin-spin correlat ...

AMER PHYSICAL SOC2020

Iterative Unbiasing of Quasi-Equilibrium Sampling

Michele Ceriotti, Bingqing Cheng, Gareth Aneurin Tribello, Federico Giberti

Atomistic modeling of phase transitions, chemical reactions, or other rare events that involve overcoming high free energy barriers usually entails prohibitively long simulation times. Introducing a bias potential as a function of an appropriately chosen s ...

AMER CHEMICAL SOC2020

Probabilistic Derivation of Spatiotemporal Correlation Functions in the Hydrodynamic Limit

Sara Bonella, Mauro Ferrario

In this paper, we use probability theory to prove in suitable conditions the equivalence of equilibrium time correlation functions of microscopic density fields with the time correlation functions of local macroscopic density fields evolved by hydrodynamic ...

Amer Chemical Soc2016

Correction: Benchmark thermochemistry of chloramines, bromamines, and bromochloramines: halogen oxidants stabilized by electron correlation

Jeremy Samuel Arey, Daniela Trogolo

Correction for 'Benchmark thermochemistry of chloramines, bromamines, and bromochloramines: halogen oxidants stabilized by electron correlation' by Daniela Trogolo et al., Phys. Chem. Chem. Phys., 2015, 17, 3584–3598. ...

Royal Soc Chemistry2016

Superfluid-insulator transition of two-dimensional disordered Bose gases

Vincenzo Savona, Pierre Lugan, Joseph Saliba

We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a critical disorde ...

American Physical Society2014

Learning Multi-Modal Dictionaries: Application to Audiovisual Data

Pierre Vandergheynst, Gianluca Monaci, Rémi Gribonval, Philippe Jost

This paper presents a methodology for extracting meaningful synchronous structures from multi-modal signals. Simultaneous processing of multi-modal data can reveal information that is unavailable when handling the sources separately. However, in natural hi ...

2006