High cumulants from the 3-dimensional O(1, 2, 4) spin models

2012/11/12 by Pan Xue, Xue Pan, Lizhu Chen +6
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear Theory (nucl-th) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat #nucl-th

paper · pdf · doi:10.48550/arxiv.1211.2542

6 pages, 5 figures

openalex publication_date 2012/11/12 · arxiv created 2013/01/03 · arxiv updated 2013/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Considering different universality classes of the QCD phase transitions, we perform the Monte Carlo simulations of the 3-dimensional O(1, 2, 4) models at vanishing and non-vanishing external field, respectively. Interesting high cumulants of the order parameter and energy from O(1) (Ising) spin model, and the cumulants of the energy from O(2) and O(4) spin models are presented. The critical features of the cumulants are discussed. They are instructive to the high cumulants of the net baryon number in the QCD phase transitions.

Related

• Cumulants and ordering of their ratios in 2D Potts models: Lessons for QCD?
• Universal properties of 3d O(4) symmetric models: The scaling function of the free energy density and its derivatives
• Monopole-like configurations in the O(3) spin model at the upper critical dimension
• Studies of critical phenomena and phase transitions in large lattices with Monte-Carlo based non-perturbative approaches
• Ising Universality in Three Dimensions: A Monte Carlo Study