Parallel tempering and 3D spin glass models

7th Brazilian Meeting on Simulational Physics

Papakonstantinou, T.^1 ; Malakis, A.^1

Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografos, Athens, Greece^1

关键词: Exchange methods;    Numerical evidence;    Parallel tempering;    Round trip;    Selection methods;    Spin-glass models;    Temperature range;    Two Dimensional (2 D);   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/487/1/012010/pdf
DOI  :  10.1088/1742-6596/487/1/012010

来源: IOP

【 摘 要 】

We review parallel tempering schemes and examine their main ingredients for accuracy and efficiency. We discuss two selection methods of temperatures and some alternatives for the exchange of replicas, including all-pair exchange methods. We measure specific heat errors and round-trip efficiency using the two-dimensional (2D) Ising model, and also test the efficiency for the ground state production in 3D spin glass models. We find that the optimization of the GS problem is highly influenced by the choice of the temperature range of the PT process. Finally, we present numerical evidence concerning the universality aspects of an anisotropic case of the 3D spin-glass model.