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Biopolymer gelation- exponents and critical exponents

Polymer Bulletin, 2006
The 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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Localization Critical Exponents

1991
The 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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Further Critical Exponents

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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Paramagnetic critical exponents

Physica B+C, 1988
Abstract 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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Quantum critical Hall exponents

Physics Letters A, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lütken, C. A., Ross, G. G.
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Critical exponents of FeBO3

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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Surface Critical Exponents in Terms of Bulk Exponents

Physical Review Letters, 1977
The 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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Critical viscosity exponent for classical fluids

Physical Review E, 2005
A self-consistent mode-coupling calculation of the critical viscosity exponent z(eta) for classical fluids is performed by including the memory effect and the vertex corrections. The incorporation of the memory effect is through a self-consistency procedure that evaluates the order parameter and shear momentum relaxation rates at nonzero frequencies ...
Hong, Hao   +2 more
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A Dirichlet problem involving critical exponents

Nonlinear Analysis: Theory, Methods & Applications, 1995
The goal of this work is to find a nontrivial solution of the equation: \[ - \Delta_p (u) \equiv - \text{div} \bigl( |Du |^{p - 2} Du \bigr) = |u |^{r - 2} u + \lambda g(u), \quad u > 0 \text{ in } \Omega, \quad u = 0 \text{ on } \partial \Omega, \tag{1} \] where \(\Omega\) is a bounded and smooth domain of \(\mathbb{R}^N\).
BOCCARDO, Lucio, ESCOBEDO M., PERAL I.
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Critical exponents in four-fermion theories

Physical Review D, 1994
We find the complete set of critical exponents for the simplest four-fermion theory in all dimensions $2ld\ensuremath{\le}4$. They satisfy the hyperscaling relations.
, Hong, , Kim, , Kim
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