Results 201 to 210 of about 4,999,006 (239)

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, Remco van der Hofstad   +1 more
openaire   +2 more sources

Critical conductivity exponent for Si:B

Physical Review Letters, 1991
We have determined the critical exponent which characterizes the approach of the zero-temperature conductivity to the insulating phase from measurements down to 60 mK of the resistivity of a series of just-metallic uncompensated p-type Si:B samples with dopant concentrations near the critical concentration for the metal-insulator transition.
Youzhu Zhang, Myriam P. Sarachik, Peihua Dai   +2 more
openaire   +3 more sources

Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent

, 2013
This paper is concerned with constructing nodal radial solutions for quasilinear Schrodinger equations in RN with critical growth which have appeared as several models in mathematical physics.
Yinbin Deng, Shuangjie Peng, Jixiu Wang
semanticscholar   +1 more source

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).
openaire   +2 more sources

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 ...
M. A. Moore, A. J. Bray
openaire   +2 more sources

Critical exponent for the semilinear wave equation with scale invariant damping

, 2012
In this paper we consider the critical exponent problem for the semilinear damped wave equation with time-dependent coefficients. We treat the scale invariant cases.

semanticscholar   +1 more source

Existence of Positive Solutions for Kirchhoff Type Problems with Critical Exponent

, 2012
. In this paper, we consider the following Kirchhoff type problem with critical exponent where Ω ⊂ R 3 is a bounded smooth domain, 0 < q < 1 and the parameters a , b , λ > 0.
Yijing Sun, L. Xing
semanticscholar   +1 more source

Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent

, 2012
In this paper we study the following coupled Schrödinger system, which can be seen as a critically coupled perturbed Brezis–Nirenberg problem: $$\left\{\begin{array}{ll}-\Delta u +\lambda_1 u = \mu_1 u^3+\beta uv^2, \quad x\in \Omega,\\-\Delta v ...
Zhijie Chen, W. Zou
semanticscholar   +1 more source

Critical exponent for the semilinear wave equation with time-dependent damping

, 2012
We consider the Cauchy problem for the semilinear wave equation with time-dependent damping $$ \left\{ \begin{array}{ll} u_{tt} - \Delta u + b(t)u_t=|u|^{\rho}, & (t,x) \in \mathbb{R}^+ \times \mathbb{R}^N \\ (u,u_t)(0,x) = (u_0,u_1)(x), & x \in \
Jiayun Lin, K. Nishihara, J. Zhai
semanticscholar   +1 more source

Inequalities for critical exponents

1992
The principal goal of the theory of critical phenomena is to make quantitative predictions for universal features of critical behavior — critical exponents, universal ratios of critical amplitudes, equations of state, and so forth — as discussed in Section 1.1. (Non-universal features, such as critical temperatures, are of lesser interest.) The present
Roberto Fernández, Jürg Fröhlich, Alan D. Sokal   +2 more
openaire   +2 more sources