6533b7d0fe1ef96bd125a51b

RESEARCH PRODUCT

Multicanonical Monte Carlo study and analysis of tails for the order-parameter distribution of the two-dimensional Ising model.

H. G. MattutisRudolf HilferRudolf HilferB. BiswalB. BiswalWolfhard Janke

subject

PhysicsWork (thermodynamics)Distribution (mathematics)Monte Carlo methodPeriodic boundary conditionsOrder (group theory)Ising modelStatistical physicsBoundary value problemExponential function

description

The tails of the critical order-parameter distribution of the two-dimensional Ising model are investigated through extensive multicanonical Monte Carlo simulations. Results for fixed boundary conditions are reported here, and compared with known results for periodic boundary conditions. Clear numerical evidence for ‘‘fat’’ stretched exponential tails exists below the critical temperature, indicating the possible presence of fat tails at the critical temperature. Our work suggests that the true order-parameter distribution at the critical temperature must be considered to be unknown at present.

10.1103/physreve.68.046123https://pubmed.ncbi.nlm.nih.gov/14683018