1.9k citations
- University of ArizonaUS47 papers
- Yale UniversityUS30 papers
- Centre National de la Recherche ScientifiqueFR28 papers
- Columbia UniversityUS28 papers
- University of ChicagoUS28 papers
- Sorbonne UniversitéFR24 papers
- Massachusetts Institute of TechnologyUS23 papers
- University of Colorado BoulderUS23 papers
- Cornell UniversityUS22 papers
- Princeton UniversityUS22 papers
- University College LondonGB21 papers
- University of the WitwatersrandZA21 papers
9 papers · 1 filter
Impact of chirality on active Brownian particle: Exact moments in two and three dimensions
Anweshika Pattanayak, Amir Shee, Debasish Chaudhuri +1
In this work, we investigate the effects of chirality, accounting for translational diffusion, on active Brownian particles in two and three dimensions. Despite the inherent comple…
The fifty-year quest for universality in percolation theory in high dimensions
T. Ellis, R. Kenna, B. Berche
Although well described by mean-field theory in the thermodynamic limit, scaling has long been puzzling for finite systems in high dimensions. This raised questions about the effic…
Critical points of the random cluster model with Newman-Ziff sampling
Tolson H. Bell, Jerrell M. Cockerham, Clayton M. Mizgerd +2
We present a method for computing transition points of the random cluster model using a generalization of the Newman-Ziff algorithm, a celebrated technique in numerical percolation…
On relations between one-dimensional quantum and two-dimensional classical spin systems
J. Hutchinson, J. P. Keating, F. Mezzadri
We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems with critical properties equivalent to those of the class…
Fisher's scaling relation above the upper critical dimension
R. Kenna, B. Berche
Fisher's fluctuation-response relation is one of four famous scaling formulae and is consistent with a vanishing correlation-function anomalous dimension above the upper critical d…
Finite-size scaling above the upper critical dimension in Ising models with long-range interactions
E. J. Flores-Sola, B. Berche, R. Kenna +1
The correlation length plays a pivotal role in finite-size scaling and hyperscaling at continuous phase transitions. Below the upper critical dimension, where the correlation lengt…