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Critical exponents of the gauge glass
Physical Review B, 1988The spin-glass phase suggested for granular superconductors in an externally applied magnetic field is discussed in detail. The spin-glass order parameter is an n\ifmmode\times\else\texttimes\fi{}n, n\ensuremath{\equiv}0 Hermitian matrix. As a consequence, we show, by explicit calculation of the critical exponents to order \ensuremath{\epsilon}=6-d ...
, Houghton, , Moore
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Biopolymer gelation- exponents and critical exponents
Polymer Bulletin, 2006The gelation of biopolymer systems has been studied, at least, empirically for many years, but only more recently have the methods of macromolecular science been applied. A number of following studies have tended to concentrate on measuring power law exponents, and have ignored details of the network structure.
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A Note on an Equation with Critical Exponent
Bulletin of the London Mathematical Society, 1988We first improve slightly results in the author's earlier work [J. Differ. Equations (to appear)] and use the result to answer a question of Brezis. More precisely, we assume that f has polynomial growth, that \(u_ o\in \dot W^{1,2}(\Omega _ 0)\cap L^{\infty}(\Omega _ 0)\) that if \(-\Delta u_ 0=f(u_ 0)\) in \(\Omega _ 0\) and that the corresponding ...
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Surface Critical Exponents in Terms of Bulk Exponents
Physical Review Letters, 1977The surface exponents associated with critical phenomena in semi-infinite systems are derived exactly in terms of bulk exponents. Results are ${\ensuremath{\gamma}}_{1,1}=\ensuremath{\nu}\ensuremath{-}1$, ${\ensuremath{\gamma}}_{1}=\ensuremath{\nu}+\frac{(\ensuremath{\gamma}\ensuremath{-}1)}{2}$, ${\ensuremath{\beta}}_{1}=\frac{(3\ensuremath ...
A. J. Bray, M. A. Moore
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AIP Conference Proceedings, 1975
A sample of FeBO3 containing 1‐5 μm diameter platelets was prepared. Magnetic measurement were made using a vibrating coil magnetometer and fields of 0.1 to 5 kOe. Data analysis included the effect of crystallite alignment and corrections for the small demagnetizing field. The Curie temperature was found to be 347.85±0.2 K.
D. M. Wilson, S. Broersma
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A sample of FeBO3 containing 1‐5 μm diameter platelets was prepared. Magnetic measurement were made using a vibrating coil magnetometer and fields of 0.1 to 5 kOe. Data analysis included the effect of crystallite alignment and corrections for the small demagnetizing field. The Curie temperature was found to be 347.85±0.2 K.
D. M. Wilson, S. Broersma
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Critical exponents for the restricted sandpile
Physical Review E, 2006I report large-scale Monte Carlo studies of a one-dimensional height-restricted stochastic sandpile using the quasistationary simulation method. Results for systems of up to 50 000 sites yield estimates for critical exponents that differ significantly from those obtained using smaller systems, but are consistent with recent predictions derived from a ...
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Localization Critical Exponents
1991The problem of Anderson localization has generated intense interest for over three decades. It can serve as a simple model for understanding the dynamics of vibrational or electronic excitons in molecular and inorganic crystals, as well as the transport of electrons in doped semiconductors.
J. L. Skinner, T.-M. Chang, J. D. Bauer
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Critical exponents and the pseudo-є-expansion
Theoretical and Mathematical Physics, 2016We present the pseudo-$ $ expansions ($ $-series) for the critical exponents of a $ ^4$ three-dimensional $O(n)$-symmetric model obtained on the basis of six-loop renormalization-group expansions. Concrete numerical results are presented for physically interesting cases $n = 1$, $n = 2$, $n = 3$ and $n = 0$, as well as for $4 \le n \le 32$ in ...
Nikitina, M. A., Sokolov, A. I.
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Paramagnetic critical exponents
Physica B+C, 1988Abstract Critical point exponents for the paramagnetic susceptibility in Co and Fe have been derived from the measurements published by Develey. The exponent, γ, for the linear reduced temperature (1 - T/Tc) is the same as that for the non-linear reduced temperature (1 − Tc/T).
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2017
We discuss the existence of some further critical exponents for high dimensional percolation like the correlation-length exponents v, \({v_2}\), as well as the gap exponent \(\varDelta \). Furthermore, we consider the two-point function exponent \(\eta \) in more detail by discussing its sharp existence in Fourier space, as well as its existence in x ...
Markus Heydenreich +1 more
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We discuss the existence of some further critical exponents for high dimensional percolation like the correlation-length exponents v, \({v_2}\), as well as the gap exponent \(\varDelta \). Furthermore, we consider the two-point function exponent \(\eta \) in more detail by discussing its sharp existence in Fourier space, as well as its existence in x ...
Markus Heydenreich +1 more
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