2005/01/31 by Yong Wu, Jonathan Machta, Jon Machta · 1 citation
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Critical point (mathematics) #Field (mathematics) #Ground state #Ising model #Mathematics #Physics #Quantum mechanics #Random field #Realization (probability) #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermal #Thermodynamics #Zero (linguistics) #Zero temperature #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.95.137208
published as Phys. Rev. Lett. 95, 137208 (2005) · 5 pages, 5 figures; new material added in this version
arxiv created 2005/08/18 · openalex publication_date 2005/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random field and external field strength. Thermal states and thermodynamic properties are obtained for all temperatures using the Wang-Landau algorithm. The specific heat and susceptibility typically display sharp peaks in the critical region for large systems and strong disorder. These sharp peaks result from large domains flipping. For a given realization of disorder, ground states and thermal states near the critical line are found to be strongly correlated--a concrete manifestation of the zero temperature fixed point scenario.