Fate of Ising ferromagnets and antiferromagnets by zero-temperature Glauber dynamics on the two-dimensional Archimedean and 2-uniform lattices. (11th December 2017)

• Record Type: Journal Article
• Authors: Yu, Unjong
• Is Part Of: Journal of statistical mechanics. (2017:Dec.)
• Publication Date: 2017-12-11
• Subjects: 3 -- 4 -- 2; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa9a56
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: The fate of the Ising ferromagnet and antiferromagnet by the zero-temperature Glauber dynamics from random initial spin configuration is investigated in two-dimensional Archimedean and 2-uniform lattices. Blinker states are found in addition to the ground state and metastable state. We show that an even-coordinated lattice can arrive at a blinker state or a metastable state without a striped structure, in contrast to common expectations. The universal relationship between the critical percolation and the probability of a striped final state is confirmed for six lattices. Results about the fate of the antiferromagnetic Ising model show that the geometric frustration suppresses ordering more and promotes blinker state.