• Title/Summary/Keyword: critical scaling behavior

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Study on Barkhausen Avalanches in Fe Thin Film (Fe 박막에서의 박하우젠 현상 연구)

  • Lee, Hun-Sung;Ryu, Kwang-Su;Shin, Sung-Chul;Kang, Im-Seok
    • Journal of the Korean Magnetics Society
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    • v.19 no.5
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    • pp.176-179
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    • 2009
  • We report a direct observation of Barkhausen avalanches in 50-nm Fe film, using a magneto-optical microscope magnetometer, capable of time-resolved domain observation. The time-resolved domain-evolution patterns exhibit that the occurrence of Barkhausen jump is random with respect to interval, size, and location. From the repetitive measurements more than 1000 times, we found that the probability distribution of Barkhausen jump size follows a power-law distribution and the critical exponent reveals the value of 1.14 $\pm$ 0.03.

Application of a New Scaling Parameter to Chain Expansion in the Systems of Polystyrene/Mixed Solvents (폴리스티렌/혼합용매 계에서 사슬의 팽창에 대한 새로운 스케일링 파라미터의 적용)

  • Park, Il-Hyun;Lee, Dong-Il;Hwang, Mi-Ok;Yu, Young-Chol;Park, Ki-Sang
    • Polymer(Korea)
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    • v.31 no.2
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    • pp.98-104
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    • 2007
  • The expansion behavior of polystyrene (PS) chains with various molecular weights has been investigated above Flory $\Theta$temperature by viscometry after dissolving in the three different mixed solvents systems such as benzene/n-heptane, 1,4-dioxane/isopropanol, and 1,4-dioxane/n-heptane. Two different regimes are observed as increasing temperature: one regime is for the expansion of chain and the other is for the contraction. For the higher molecular weight sample of PS, the higher peak temperature showing its maximum expansion is obtained. Within a certain system of Ps/mixed solvents, the $\tau/\tau_c$ parameter shows universality for the variation of molecular weight. But while each system of Ps/mixed solvents has shown its own different slope, the universality breaks down in the overall system of mixed solvents. However after introducing a new empirical $b^{2/3}\tau/\tau_c$ parameter, all data points of three different systems have dropt on one master curve and the universality of chain expansion has recovered again. Here $\tau$ and $\tau_c$ are defined as $(T-\Theta)/\Theta$ and $(\Theta-T_c)/T_c$, respectively and $T_c$ is the critical solution temperature, and b of Schultz-Flory equation is corresponding to the effective slope in the plot of $1/T_c$ against $1/M_w^{1/2}$.