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Time-evolution of damage in the Ising model

Author

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  • Wang, Fugao
  • Suzuki, Masuo

Abstract

The time-evolution of the damage in the Ising model with the heat bath and Glauber dynamics has been investigated with the damage spreading method. The damage density D(t) and the average distance r(t) of damaged sites from the origin have been measured numerically. From the simulational data, the scaling forms have been established as D(t) ∼ tx, r(t) ∼ t1z and D(t) ∼ r(t)df and the corresponding exponents x, z and df have been estimated.

Suggested Citation

  • Wang, Fugao & Suzuki, Masuo, 1996. "Time-evolution of damage in the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 223(1), pages 34-49.
    • Handle: RePEc:eee:phsmap:v:223:y:1996:i:1:p:34-49
    DOI: 10.1016/0378-4371(95)00344-4
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    References listed on IDEAS

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    1. Giancarlo Gandolfo & Pier Carlo Padoan & Giuseppe De Arcangelis & Clifford R. Wymer, 1994. "The Italian Continuous Time Model: Results of the Nonlinear Estimation," CESifo Working Paper Series 69, CESifo.
    2. Campbell, I.A. & de Arcangelis, L., 1991. "On the damage spreading in Ising spin glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(1), pages 29-43.
    3. Suzuki, Mitsunao, 1969. "金融政策の有効性 : W. L. スミスの批判的検討 = On the Effectiveness of Monetary Policy," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 20(1), pages 29-46.
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