Dynamic response of an Ising system to a pulsed field

Acharyya, M. ; Bhattacharjee, J. K. ; Chakrabarti, B. K. (1997) Dynamic response of an Ising system to a pulsed field Physical Review E, 55 (3). pp. 2392-2396. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v55/i3/p2392_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.55.2392


The dynamical response to a pulsed magnetic field has been studied here both using Monte Carlo simulation and by solving numerically the mean-field dynamical equation of motion for the Ising model. The ratio Rp of the response magnetization half-width to the width of the external field pulse has been observed to diverge and pulse susceptibility Xp (ratio of the response magnetization peak height and the pulse height) gives a peak near the order-disorder transition temperature Tc (for the unperturbed system). The Monte Carlo results for the Ising system on a square lattice show that Rp diverges at Tc, with the exponent vz≅2.0, while Xp shows a peak at Tce, which is a function of the field pulse width dt. A finite-size (in time) scaling analysis shows that Tce=Tc+C(δt)-1/x, with x=vz≅2.0. The mean-field results show that both the divergence of R and the peak in Xp occur at the mean-field transition temperature, while the peak height in Xp~(δt)y, y≅1 for small values of δt. These results also compare well with an approximate analytical solution of the mean-field equation of motion.

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