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- W1982680345 abstract "We apply renormalization group theory directly to the first-order phase transition of the large-N model driven linearly by an external magnetic field $Hphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}stackrel{ifmmode dot{}else .{}fi{}}{H}t$, where $stackrel{ifmmode dot{}else .{}fi{}}{H}$ is the sweeping rate. Novel dynamic scaling forms for the magnetization, the structure factor, and the area of hysteresis loop are $M(stackrel{ifmmode dot{}else .{}fi{}}{H},t,T)phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}f({stackrel{ifmmode dot{}else .{}fi{}}{H}}^{1/2}t,{stackrel{ifmmode dot{}else .{}fi{}}{H}}^{(densuremath{-}2)/4}T)$, $C(k,stackrel{ifmmode dot{}else .{}fi{}}{H},t,T)phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}{stackrel{ifmmode dot{}else .{}fi{}}{H}}^{ensuremath{-}d/4}{f}^{ensuremath{'}}({stackrel{ifmmode dot{}else .{}fi{}}{H}}^{ensuremath{-}1/4}k,{stackrel{ifmmode dot{}else .{}fi{}}{H}}^{1/2}t,{stackrel{ifmmode dot{}else .{}fi{}}{H}}^{left(densuremath{-}2right)/4}T)$, and $Aphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}{stackrel{ifmmode dot{}else .{}fi{}}{H}}^{1/2}g({stackrel{ifmmode dot{}else .{}fi{}}{H}}^{left(densuremath{-}2right)/4}T)$, respectively, where $T$ is the temperature of the system, $d$ the spatial dimensionality, $k$ the wave number, and $f$, ${f}^{ensuremath{'}}$, and $g$ scaling functions. These results show that the rate of the external driving field can serve as a scaling parameter to study hysteresis." @default.
- W1982680345 created "2016-06-24" @default.
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- W1982680345 date "1995-09-04" @default.
- W1982680345 modified "2023-09-27" @default.
- W1982680345 title "Renormalization Group Theory of Hysteresis" @default.
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- W1982680345 doi "https://doi.org/10.1103/physrevlett.75.2027" @default.
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