Magnetic Properties of Transverse Ising Model under a Time Oscillating Longitudinal Field

【摘要】 <正> A transverse Ising spin system,in the presence of time-dependent longitudinal field,is studied by theeffective-field theory （EFT）.The effective-field equations of motion of the average magnetization are given for the simplecubic lattice （Z = 6） and the honeycomb lattice （Z = 3）.The Liapunov exponent X is calculated for discussing thestability of the magnetization and it is used to determine the phase boundary.The dynamic phase transition diagramsin h₀/ZJ - T/ZJ plane and in h₀/ZJ - T/ZJ plane have been drawn,and there is no dynamical tricritical point on thedynamic phase transition boundary.The effect of the thermal fluctuations upon the dynamic phase boundary has beendiscussed.更多还原

【Abstract】 A transverse Ising spin system,in the presence of time-dependent longitudinal field,is studied by the effective-field theory （EFT）.The effective-field equations of motion of the average magnetization are given for the simple cubic lattice （Z = 6） and the honeycomb lattice （Z = 3）.The Liapunov exponent X is calculated for discussing the stability of the magnetization and it is used to determine the phase boundary.The dynamic phase transition diagrams in h₀/ZJ - T/ZJ plane and in h₀/ZJ - T/ZJ plane have been drawn,and there is no dynamical tricritical point on the dynamic phase transition boundary.The effect of the thermal fluctuations upon the dynamic phase boundary has been discussed.更多还原