Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states

2020/02/29 by Su-Chan Park, Su‐Chan Park
Materials Science · Mathematics · Physics and Astronomy · #Approx #BETA (programming language) #Combinatorics #Conjecture #Critical exponent #Exponent #Geometry #Material Dynamics and Properties #Mathematical physics #Mathematics #Monte Carlo method #Order (exchange) #Phase (matter) #Phase transition #Physics #Quantum mechanics #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.101.052114

published as Phys. Rev. E 101, 052114 (2020) · published

openalex publication_date 2020/05/14 · arxiv created 2020/05/15 · arxiv updated 2020/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent β of absorbing phase transitions in systems with two symmetric absorbing states. The value of β was conjectured to be 13/14≈0.93 and Monte Carlo simulation studies in the literature have repeatedly reproduced values consistent with the conjecture. In this paper, we systematically estimate β by analyzing the effective exponent after finding how strong corrections to scaling are. We show that the widely accepted numerical value of β is not correct. Rather, we obtain β=1.020(5) from different models with two symmetric absorbing states.

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