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1.
The excess 1/f noise in a random lattice with bond resistances r∼exp(−λx), where x is a random variable and λ≪1, is studied theoretically. It is shown that if the correlation function {δr
2}∼r
r
θ+2, then the relative spectral density of the noise in the system is expressed as C
e∼λm exp(−λ(1−p
c)), where p
c is the percolation threshold and m=νd (ν is the critical exponent of the correlation length and d is the dimensionality of the problem). It is hypothesized that the exponent m possesses a dual universality: It is independent of 1) the geometry of the lattice and 2) the θ-mechanism responsible for
the generation of the local noise. Numerical modeling in a three-dimensional lattice gives m=52.3 for θ=1 and θ=0, in agreement with the hypothesis.
Pis’ma Zh. éksp. Teor. Fiz. 63, No. 8, 614–618 (25 April 1996) 相似文献
2.
E. Kyriakopoulos 《General Relativity and Gravitation》2012,44(1):157-199
We present two rotating black hole solutions with axion ξ, dilaton f{\phi} and two U(1) vector fields. Starting from a non-rotating metric with three arbitrary parameters, which we have found previously, and
applying the “Newman–Janis complex coordinate trick” we get a rotating metric g
μν
with four arbitrary parameters namely the mass M, the rotation parameter a and the charges electric Q
E
and magnetic Q
M
. Then we find a solution of the equations of motion having this g
μν
as metric. Our solution is asymptotically flat and has angular momentum J = M
a, gyromagnetic ratio g = 2, two horizons, the singularities of the solution of Kerr, axion and dilaton singular only when r = a cos θ = 0 etc. By applying to our solution the S-duality transformation we get a new solution, whose axion, dilaton and vector fields have one more parameter. The metrics,
the vector fields and the quantity l = x+ie-2f{\lambda=\xi+ie^{-2\phi}} of our solutions and the solution of: Sen for Q
E
, Sen for Q
E
and Q
M
, Kerr–Newman for Q
E
and Q
M
, Kerr, Reference Kyriakopoulos [Class. Quantum Grav. 23:7591, 2006, Eqs. (54–57)], Shapere, Trivedi and Wilczek, Gibbons–Maeda–Garfinkle–Horowitz–Strominger, Reissner–Nordstr?m, Schwarzschild
are the same function of a, and two functions ρ
2 = r(r + b) + a
2 cos2
θ and Δ = r(r + b) − 2Mr + a
2 + c, of a, b and two functions for each vector field, and of a, b and d respectively, where a, b, c and d are constants. From our solutions several known solutions can be obtained for certain values of their parameters. It is shown
that our two solutions satisfy the weak the dominant and the strong energy conditions outside and on the outer horizon and
that all solutions with a metric of our form, whose parameters satisfy some relations satisfy also these energy conditions
outside and on the outer horizon. This happens to all solutions given in the “Appendix”. Mass formulae for our solutions and
for all solutions which are mentioned in the paper are given. One mass formula for each solution is of Smarr’s type and another
a differential mass formula. Many solutions with metric, vector fields and λ of the same functional form, which include most
physically interesting and well known solutions, are listed in an “Appendix”. 相似文献
3.
Radiowave scattering by a two-layered medium with a rough boundary is studied in the Kirchhoff approximation. We consider
the case of oblique incidence of waves and mean square heights of the upper boundary roughnesses, which are nonsmall compared
with the wavelength λ. An analytical expression and the conditions under which P1 turns out to be large are derived for the term P1 of the two-frequency correlation function P = (Em(w1)En(w2)), which is proportional to the first degree of the coefficient of reflection from the lower boundary. Such effect is shown
to emerge only for the resonant frequency relation. In particular, the following resonant relationship is written for the
mirror reflection direction: w2,1(√ε-sin2θ/cosθ-1), where θ is the incidence angle and ε is the layer permittivity.
Research Institute of Physics, Rostov-on-Don, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika,
Vol. 40, No. 6, pp. 733–743, June, 1997. 相似文献
4.
We explore a novel possibility for lowering the solar mixing angle (θ
12) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle (θ
23 = 45°) and zero reactor angle (θ
13 = 0°) in the inverted and normal hierarchical neutrino mass models having 2–3 symmetry. This can be done through the identification
of a flavour twister term in the texture of neutrino mass matrix and the variation of such term leads to lowering of solar
mixing angle. For the observed ranges of Δm
212 and Δm
232, we calculate the predictions on tan2
θ
12 = 0.5, 0.45, 0.35 for different input values of the parameters in the neutrino mass matrix. We also observe a possible transition
from inverted hierarchical model having even CP parity (Type-IHA) to inverted hierarchical model having odd CP parity (Type-IHB)
in the first two mass eigenvalues, when there is a change in input values of parameters in the same mass matrix. The present
work differs from the conventional approaches for the deviations from tri-bimaximal mixing, where the 2–3 symmetry is broken,
leading to θ
23 ≠ 45° and θ
13 ≠ 0°.
相似文献
5.
Influence of the reagent vibration on the stereo-dynamics of the reactions D- + H2 and H- + D2
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Employing the quasi-classical trajectory method and the potential energy surface of Panda and Sathyamurhy [Panda A N and Sathyamurthy N 2004 J. Chem. Phys. 121 9343], the effect of the reagent vibration on vector correlation of the ion-molecule reactions D- + H2 and H- + D2 is studied at a collision energy of 35.7 kcal/mol. Four generalized polarization-dependent differential cross sections (2π/σ)(dσ00/dωt),(2π/σ)(dσ20/dωt),(2π/σ)(dσ22/dωt), and (2π/σ)(dσ20/dωt) are presented in the centre-of-mass reference frame, separately. At the same time, the effects on the product angular distributions P(θr), P(φr) and P(θr,φr) of the title reactions are also analysed. The calculated results show that the scattering tendencies of the product HD, the alignment and the orientation of j' sensitively depend on reagent molecule vibration. 相似文献
6.
Avalanche in the chute has been studied to examine how the sizes of granules affect the angle of repose θ
r when the width of the chute is fixed. The results show that the angle of repose in the chute has exponential decay with λ, which is the reciprocal of granular diameter d. The fluctuation of the angle of repose is also studied during the chute being tilted, and the results indicate that the
fluctuation of the angle of repose increases with the increase of granular diameter d.
Supported by the Youth Project Foundation of Taizhou University (Grant No. 06QN08) 相似文献
7.
It is suggested that the strength of nuclear colour van der Waals interaction, if present, can be determined by measuring
deviations from Rutherford scattering of charged hadrons from nuclei, at energies well below the Coulomb barrier. Experimental
limit on the strength of such a potential is obtained asλ<50, when the colour van der Waals potential is given byV(r)=λ(hc/r
0)(r
0/r)7, withr
0, the scaling length, taken as 1 fm. This limit is obtained from an analysis of existing experiments and by performing scattering
experiments of 3–4.6 MeV protons from a208Pb target. 相似文献
8.
I. L. Drichko I. Yu. Smirnov A. V. Suslov O. A. Mironov D. R. Leadley 《Journal of Experimental and Theoretical Physics》2010,111(3):495-502
Magnetoresistivity ρ
xx
and ρ
xy
and the acoustoelectronic effects are measured in p-Si/SiGe/Si with an impurity concentration p = 1.99 × 1011 cm−2 in the temperature range 0.3–2.0 K and an tilted magnetic field up to 18 T. The dependence of the effective g factor on the angle of magnetic field tilt θ to the normal to the plane of a two-dimensional p-Si/SiGe/Si channel is determined. A first-order ferromagnet-paramagnet phase transition is observed in the magnetic fields
corresponding to a filling factor ν = 2 at θ ≈ 59°–60°. 相似文献
9.
An original set-up is used to study the adhesive properties of two hemispherical soap bubbles put into contact. The contact
angle at the line connecting the three films is extracted by image analysis of the bubbles profiles. After the initial contact,
the angle rapidly reaches a static value slightly larger than the standard 120° angle expected from Plateau rule. This deviation is consistent with previous experimental and theoretical studies: it can
be quantitatively predicted by taking into account the finite size of the Plateau border (the liquid volume trapped at the
vertex) in the free energy minimization. The visco-elastic adhesion properties of the bubbles are further explored by measuring
the deviation Δθd(t) of the contact angle from the static value as the distance between the two bubbles supports is sinusoidally modulated. It
is found to linearly increase with Δr
c/r
c , where rc is the radius of the central film and Δr
c the amplitude of modulation of this length induced by the displacement of the supports. The in-phase and out-of-phase components
of Δθd(t) with the imposed modulation frequency are systematically probed, which reveals a transition from a viscous to an elastic
response of the system with a crossover pulsation of the order 1rad · s^-1. Independent interfacial rheological measurements,
obtained from an oscillating bubble experiment, allow us to develop a model of dynamic adhesion which is confronted to our
experimental results. The relevance of such adhesive dynamic properties to the rheology of foams is briefly discussed using
a perturbative approach to the Princen 2D model of foams. 相似文献
10.
By using the second-order moment of the power density, the beam width, far-field divergence angle and M2 factor of nonparaxial truncated flattened Gaussian (FG) beams are derived analytically. It is shown that the M2 factor of nonparaxial truncated FG beams depends not only on the truncation parameter δ and beam order N, but also on the initial waist-width to wavelength ratio w0/λ. The far-field divergence angle approaches an asymptotic value of θmax=63.435° when the truncation parameter δ → 0. For the special cases of N = 0 and δ → ∞ our results reduce to those of nonparaxial truncated Gaussian beams and nonparaxial untruncated FG beams, respectively. 相似文献
11.
I. Kolokolov V. Lebedev M. Stepanov 《Journal of Experimental and Theoretical Physics》1999,88(3):506-516
We consider advection of a passive scalar θ(t,r) by an incompressible large-scale turbulent flow. In the framework of the Kraichnan model all PDF’s (probability distribution
functions) for the single-point statistics of θ and for the passive scalar difference θ(r
1)−θ(r
2) (for separations r
1−r
2 lying in the convective interval) are found.
Zh. éksp. Teor. Fiz. 115, 920–939 (March 1999)
Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor. 相似文献
12.
We have studied multiple regressions between the spectral aerosol extinction coefficient ε, backscatter indicatrix gπ, and light-scattering coefficients βθ at angles of θ = 1–180°, which we used to select the optimal scattering angle for determining the extinction coefficient
at the wavelengths 0.350, 0.532, and 1.060 μm. We have estimated the errors in determination of the values of ε and gπ at the given wavelengths for different atmospheric situations with different meteorological parameters. We have shown that
it is possible to use the spectral βθ values at a 33° angle to determine the reference values for ε(λ) and gπ(λ) at λ = 0.350, 0.532, and 1.060 μm in laser detection and ranging (lidar) measurements, and we give examples of recovering
the vertical profiles of ε in a slightly turbid atmosphere from the results of simultaneous multiwavelength lidar and nephelometric
measurements.
__________
Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 6, pp. 767–772, November–December, 2007. 相似文献
13.
Jai Kumar Singhal 《Pramana》2004,62(5):1029-1040
We examine the effects of mixing induced light heavy charged lepton neutral currents on the partial wave amplitude for the
process l+l− →ZZ (withl = e,μ or τ). By imposing the constraints that the amplitude should not exceed the perturbative unitarity limit at high energy (√s
= Λ), we obtain bounds on light heavy charged lepton mixing parameter sin2(2θ
L
a
) where θ
L
a
is the mixing angle of the ordinary charged lepton with its exotic partner. For Λ = 1 TeV, no bound is obtained on sin2 (2θ
L
a
) form
E < 0.69 TeV. However, sin2 (2θ
L
a
) ≤ 1.52×10−5 form
E = 5 TeV, sin2 (2θ
L
a
) ≤ 2.41 ×10−7 form
E = 10 TeV. Similarity for Λ = ∞ no bound is obtained on sin2 (2θ
L
a
) for mE < 1.97 TeV and sin2 (2θ
L
a
) ≤ 0.15 form
E = 5 TeV and sin2 (2θ
L
a
) ≤ 3.88×10-2 form
E = 10 TeV. 相似文献
14.
M R M Witwit 《Pramana》1994,42(2):159-165
Eigenenergies are calculated for the potentialsV
1(r)=−(a/r)[1+(1+br)e−2br
] andV
2(r)=−(v/r)[1 −λr(1−Z
−1)(1+λr)−1], using renormalized series technique. Accurate results produced here for various eigenstates agree with those available
in the literature. 相似文献
15.
Andre Toom 《Journal of statistical physics》1997,88(1-2):347-364
We consider space- and time-uniformd-dimensional random processes with linear local interaction, which we call harnesses and which may be used as discrete mathematical
models of random interfaces. Their components are rea random variablesa
s
t
, wheres ∈ Z
d
andt=0, 1, 2.,... At every time step two events occur: first, every component turns into a linear combination of itsN neighbors, and second, a symmetric random i.i.d. “noise”v is added to every component. For any σ ∈Z
d
+
define Δσ
a′
s
as follows. If σ=(0,...,0), σ=(0,...,0), Δσ
a
s
t
=a
s
t
. Then by induction,
wheree
i is thed-dimensional vector, whoseith component is one and other components are zeros. Denote |σ| the sum of components of σ. Call a real random variable ϕ symmetric
if it is distributed as −ϕ. For any symmetric random variable ϕpower decay or P-decay is defined as the supremum of thoser for which therth absolute moment of ϕ is finite. Convergence a.s., in probability and in law whent→∞ is examined in terms of P-decay(v): Ifd=1, σ=0 ord=2, σ=(0,0), Δσ
a
s
t
diverges. In all the other cases: If P-decay(v)<(d+2)/(d+|σ|), Δσ
a
s
t
diverges; if P-decay(v)>(d+2)/(d+|σ|), Δσ
a
s
t
, converges and P-decay(ν) For any symmetric random variable ϕexponential decay or E-decay is defined as the supremum of thoser for which the expectation of exp(|x|r) is finite. Let E-decay(v)>0. Whenever Δσ
a
s
t
converges (that is, ifd>2 or |σ|>0: Ifd>2, E-decay(lima
s
t
)=min(E-decay(v),d+2/2); if |σ|=1, E-decay (lim Δσ
a
s
t
)=min(E-decay(ν),d+2); if |σ| ⩾, E-decay (lim Δσ
a
s
t
)=E-decay(ν). 相似文献
16.
Y. Gangrsky K. Marinova S. Zemlyanoi M. Avgoulea J. Billowes P. Campbell B. Cheal B. Tordoff M. Bissell D. H. Forest M. Gardner G. Tungate J. Huikari H. Penttilä J. Äystö 《Hyperfine Interactions》2006,171(1-3):209-215
Collinear laser spectroscopy experiments on the ScII transition 3d4s
3D2→3d4p
3F3 at λ ≈ 363.1 nm were performed on the 42–46Sc isotopic chain using an ion guide isotope separator with a cooler–buncher. Isotope and isomer shifts and hyperfine structures
of five ground states and two isomers were measured. Preliminary results on the nuclear moments and charge radii changes deduced
from these measurements are reported. 相似文献
17.
V. R. Bom J. N. Bradbury J. D. Davies A. M. Demin D. L. Demin C. W. E. van Eijk V. V. Filchenkov A. N. Golubkov N. N. Grafov V. G. Grebinnik S. K. Grishechkin K. I. Gritsaj V. G. Klevtsov A. D. Konin A. A. Kukolkin S. V. Medved' V. A. Nazarov V. V. Perevozchikov A. N. Ponomarev V. Ya. Rozhkov A. I. Rudenko S. M. Sadetsky Yu. V. Smirenin N. I. Voropaev A. A. Yukhimchuk S. A. Yukhimchuk V. G. Zinov S. V. Zlatoustovskii 《Hyperfine Interactions》2001,138(1-4):213-223
Experiments on the study of the muon catalyzed fusion (μCF) process in a double D/T mixture of hydrogen isotopes in the temperature
range 300–800 K at densities 0.3–0.5 LHD are performed at the JINR phasotron. The values of the effective μCF parameters (cycling
rate λ
c
, neutron yield Y
n
, muon losses w) are obtained. Tentative dtμ-molecule formation rates on D2 and DT molecules (λ
dtμ−d
and λ
dtμ−t
) are obtained for different mixture temperatures and densities. The results obtained show that λ
dtμ−t
increases with temperature, but its value is smaller than theoretical predictions.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
18.
C?t?lin I. Carstea 《Communications in Mathematical Physics》2010,300(2):487-528
The existence of co-rotational finite time blow up solutions to the wave map problem from ${\mathbb{R}^{2+1} \to N}The existence of co-rotational finite time blow up solutions to the wave map problem from
\mathbbR2+1 ? N{\mathbb{R}^{2+1} \to N} , where N is a surface of revolution with metric d
ρ
2 + g(ρ)2
dθ2, g an entire function, is proven. These are of the form u(t,r)=Q(l(t)t)+R(t,r){u(t,r)=Q(\lambda(t)t)+\mathcal{R}(t,r)} , where Q is a time independent solution of the co-rotational wave map equation −u
tt
+ u
rr
+ r
−1
u
r
= r
−2
g(u)g′(u), λ(t) = t
−1-ν, ν > 1/2 is arbitrary, and R{\mathcal{R}} is a term whose local energy goes to zero as t → 0. 相似文献
19.
M. V. Zagidullin 《Optics and Spectroscopy》2010,109(4):538-542
In the temperature range of T = 150–400 K, the dependence of spectral widths (cm−1) on temperature, 182 + 0.38(±0.01)T and 217 + 0.48(±0.01)T, respectively, has been obtained for dimole emission of O2(a, 0) + O2(a, 0) → O2(X, 1) + O2(X, 0) + hν (λ = 703 nm) and O2(a, 0) + O2(a, 0) → O2(X, 0) + O2(X, 0) + hν (λ = 634 nm). It was shown that the ratio of dimole emission rate constants does not depend on temperature in the range
of 150–400 K and is 1.06 ± 0.01. 相似文献
20.
Xuguang Lu 《Journal of statistical physics》2006,124(2-4):517-547
The paper considers macroscopic behavior of a Fermi–Dirac particle system. We prove the L
1-compactness of velocity averages of weak solutions of the Boltzmann equation for Fermi–Dirac particles in a periodic box with the collision kernel b(cos θ)|ρ−ρ
*|γ, which corresponds to very soft potentials: −5 < γ ≤ −3 with a weak angular cutoff: ∫0
π
b(cos θ)sin 3θ dθ < ∞. Our proof for the averaging compactness is based on the entropy inequality, Hausdorff–Young inequality, the L
∞-bounds of the solutions, and a specific property of the value-range of the exponent γ. Once such an averaging compactness is proven, the proof of the existence of weak solutions will be relatively easy. 相似文献