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Physics Letters A

On the behaviour of quantum systems with time-dependent boundary conditions

Adam J. Makowski, Piotr Pepłowski

Published Mar 1, 1992• 48 citations
Publisher
DOI
10.1016/0375-9601(92)90397-5

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We investigate the influence of the boundary condition on the short-time dynamic behaviour of the Ising-like phase transition in square-lattice fully frustrated (FF) XY models with periodic and fluctuating twist boundary conditions.The transition temperature Tc and the dynamic and static critical exponents z,2β/υ and υ are estimated for both cases using short-time dynamic scaling analysis.The results show that both models have the same critical exponents,indicating that the boundary condition has nearly no effect on the short-time dynamic behaviour of the FFXY model.
Short-time dynamic behaviour of two-dimensional fully frustrated XY model near the Ising-like phase-transition temperature is studied with resistively shunted junction dynamics. The transition temperature T c and the dynamic and static critical exponents z , 2β/ν and ν are estimated under both a periodic boundary condition (PBC) and a fluctuating twist boundary condition (FTBC) using the short-time dynamic scaling analysis. The results show that T c , 2β/ν and ν are almost independent of the boundary conditions, whereas z depends on the boundary condition. The value of z = 2.18(5) of the PBC is roughly equal to that of the FF XY model with Monte Carlo dynamics under the PBC, while z = 2.05(4) of the FTBC is in agreement with that of the Coulomb gas model.