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• W2977612535 abstract "The short-time relaxation critical behavior of the $XY$ model on a simple-cubic lattice is investigated within the scope of deterministic Hamiltonian dynamics. The Hamiltonian includes a first-neighbor interaction between planar vectors and a rotational kinetic term from which the motion equations are derived. The dynamical evolution from a fully ordered initial state is followed by employing a symplectic algorithm based on a high-order Trotter-Suzuki decomposition of the time-evolution operator. A finite-time scaling analysis is performed to provide accurate estimates of the critical energy density, the order-parameter relaxation exponent, and the dynamical critical exponent. The estimated critical exponents are consistent with prior theoretical and experimental values reported for the superfluid $^{4}mathrm{He}$, extreme type-II superconducting, and Bose-Einstein condensation transitions." @default.
• W2977612535 created "2019-10-10" @default.
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• W2977612535 date "2019-05-06" @default.
• W2977612535 modified "2023-09-27" @default.
• W2977612535 title "Hamiltonian short-time critical dynamics of the three-dimensional <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math> model" @default.
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• W2977612535 doi "https://doi.org/10.1103/physreve.99.052104" @default.
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