Multi-spin-flip dynamics of the Ising chain

Nobuyasu Ito and Tetsuhiko Chikyu

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 2, 193-205

Abstract: Two kinds of multi-spin-flip discrete-time dynamics of the Ising chain are solved analytically. One dynamics is the two sublattice type flip and each sublattice contains n sequential spins alternately. The other has the overlapped multi-spin-flip sequence. The state of n spins at the next time step is selected from 2n states using the heat-bath type transition probability. These dynamics of the Ising chain are equivalent to the statics of the square-lattice Ising model with a 1 × 2 unit cell or of the triangular-lattice Ising model. The analytic solutions of the single spin relaxation time of these dynamics are obtained using these equivalences.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:2:p:193-205

DOI: 10.1016/0378-4371(90)90012-H

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