共查询到20条相似文献,搜索用时 31 毫秒
1.
V. Shankar V. Kumaran 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,19(4):607-622
The stability of wall modes in fluid flow through a flexible tube of radius R surrounded by a viscoelastic material in the region R < r < HR is analysed using a combination of asymptotic and numerical methods. The fluid is Newtonian, while the flexible wall is modelled
as an incompressible viscoelastic solid. In the limit of high Reynolds number (Re), the vorticity of the wall modes is confined to a region of thickness O(Re
-1/3) in the fluid near the wall of the tube. Previous numerical studies on the stability of Hagen-Poiseuille flow in a flexible
tube to axisymmetric disturbances have shown that the flow could be unstable in the limit of high Re, while previous high Reynolds number asymptotic analyses have revealed only stable modes. To resolve this discrepancy, the
present work re-examines the asymptotic analysis of wall modes in a flexible tube using a new set of scaling assumptions.
It is shown that wall modes in Hagen-Poiseuille flow in a flexible tube are indeed unstable in the limit of high Re in the scaling regime Re∼Σ3/4. Here Σ is a nondimensional parameter characterising the elasticity of the wall, and Σ≡ρGR
2/η2, where ρ and η are the density and viscosity of the fluid, and G is the shear modulus of the wall medium. The results from the present asymptotic analysis are in excellent agreement with
the previous numerical results. Importantly, the present work shows that the different types of unstable modes at high Reynolds
number reported in previous numerical studies are qualitatively the same: they all belong to the class of unstable wall modes
predicted in this paper.
Received 12 June 2000 and Received in final form 8 November 2000 相似文献
2.
B. Dubrulle F. Hersant 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,26(3):379-386
We generalize an analogy between rotating and stratified shear flows. This analogy is summarized in Table 1. We use this analogy
in the unstable case (centrifugally unstable flow vs. convection) to compute the torque in Taylor-Couette configuration, as a function of the Reynolds number. At low Reynolds
numbers, when most of the dissipation comes from the mean flow, we predict that the non-dimensional torque G = T/ν2
L, where L is the cylinder length, scales with Reynolds number R and gap width η, G = 1.46η3/2(1 - η)-7/4
R
3/2. At larger Reynolds number, velocity fluctuations become non-negligible in the dissipation. In these regimes, there is no
exact power law dependence the torque versus Reynolds. Instead, we obtain logarithmic corrections to the classical ultra-hard (exponent 2) regimes: G = 0.50
. These predictions are found to be in excellent agreement with avail-able experimental data. Predictions for scaling of velocity
fluctuations are also provided.
Received 7 June 2001 and Received in final form 7 December 2001 相似文献
3.
Khin Swe Myint S. Shinmura Y. Akaishi 《The European Physical Journal A - Hadrons and Nuclei》2003,16(1):21-26
The significance of ΛΛ-Ξ N coupling in double-Λ hypernuclei has been studied. The Pauli suppression effect due to this coupling
in 6
ΛΛ He has been found to be 0.43MeV for the coupling strength of the NSC97e potential. This indicates that the free-space ΛΛ
interaction is stronger by an about 5° phase shift than that deduced from the empirical data of 6
ΛΛ He without including the Pauli suppression effect. In 5
ΛΛ He and 5
ΛΛ H, an attractive term arising from the ΛΛ-Ξ N conversion is enhanced by the formation of an alpha-particle in the intermediate
Ξ states. According to this enhancement, we have found that the ΛΛ binding energy ( ΔB
ΛΛ) of 5
ΛΛ He is about 0.27MeV larger than that of 6
ΛΛ He for the NSC97e coupling strength. This finding deviates from the general picture that the heavier is the core nucleus,
the larger is ΔB
ΛΛ.-1
Received: 17 July 2002 / Accepted: 27 September 2002 / Published online: 17 January 2003
RID="a"
ID="a"e-mail: akaishi@post.ket.jp
Communicated by A. Molinari 相似文献
4.
N. Kaiser 《The European Physical Journal A - Hadrons and Nuclei》1999,5(1):105-110
We analyze the recent total cross section data for pp→pΛK
+ near threshold measured at COSY. Using an effective range approximation for the on-shell pΛ S-wave final state interaction we extract from these data the combination ?= (2|K
s|2+|K
t|2)−1/2= 0.38 fm4 of the singlet (K
s) and triplet (K
t) threshold transition amplitudes. We present an exploratory calculation of various (tree-level) vector and pseudoscalar meson
exchange diagrams. Pointlike ω-exchange alone and the combined (ρ0,ω,K*+)-exchange can explain the experimental value of ?. The pseudoscalar meson exchanges based on a SU(3) chiral Lagrangian turn
out to be too large. However, when adding π0-exchange in combination with the resonant πN→S
11(1650) →KΛ transition and introducing monopole form factors with a cut-off Λc= 1.5 GeV one is again able to reproduce the experimental value of ?. More exclusive measurements are necessary to reveal
the details of the pp→pΛK
+ production mechanism.
Received: 28 October 1998 / Revised version: 12 January 1999 相似文献
5.
E. Bogomolny U. Gerland C. Schmit 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,19(1):121-132
We propose a plasma model for spectral statistics displaying level repulsion without long-range spectral rigidity, i.e. statistics intermediate between random matrix and Poisson statistics similar to the ones found numerically at the critical
point of the Anderson metal-insulator transition in disordered systems and in certain dynamical systems. The model emerges
from Dysons one-dimensional gas corresponding to the eigenvalue distribution of the classical random matrix ensembles by restricting
the logarithmic pair interaction to a finite number k of nearest neighbors. We calculate analytically the spacing distributions and the two-level statistics. In particular we
show that the number variance has the asymptotic form Σ2(L) ∼χL for large L and the nearest-neighbor distribution decreases exponentially when s→∞, P(s) ∼ exp(- Λs) with Λ = 1/χ = kβ + 1, where β is the inverse temperature of the gas (β = 1, 2 and 4 for the orthogonal, unitary and symplectic symmetry class
respectively). In the simplest case of k = β = 1, the model leads to the so-called Semi-Poisson statistics characterized by particular simple correlation functions
e.g.
P(s) = 4s exp(- 2s). Furthermore we investigate the spectral statistics of several pseudointegrable quantum billiards numerically and compare
them to the Semi-Poisson statistics.
Received 13 September 2000 相似文献
6.
The KNΛ and KNΣ coupling constants have been calculated in the framework of the Chiral Bag Model(CBM). We find −3.88 ≤g
KNΛ≤−3.67 and 1.15 ≤g
KNΣ≤ 1.24 by taking into account pseudoscalar mesons (π, K) and vector mesons (ρ, ω, K
*) field effects. Particularly, it is shown that vector mesons make significant contributions to the coupling constants g
KNΛ and g
KNΣ. Our values are existing within the experimental limits compared to the phenomenological values extracted from the kaon photoproduction
and kaon-nucleon scattering experiments. Also, form factors are suggested for the πNN, πNΔ, KNΛ and KNΣ couplings.
Received: 17 August 1998 / Revised version: 22 December 1998 相似文献
7.
T.Yu. Tretyakova D.E. Lanskoy 《The European Physical Journal A - Hadrons and Nuclei》1999,5(4):391-398
Properties of light neutron-rich Λ hypernuclei (16
ΛC, 12
ΛBe, and 11
ΛLi) are calculated within the Skyrme-Hartree-Fock approach. Interplay between hypernuclear interaction features and properties
of these hypernuclei is studied. Response of weakly bound neutron states to hyperon addition depends generally on core distortion
by hyperon, and it is essentially different for the different states. This response is especially sensitive to details of
the ΛN interaction for 1p
1/2 states. Implications of the nuclear spin-orbit potential and nuclear incompressibility in the neutron-rich system properties
are inferred. Dependence of the Λ binding energies in hypernuclei on Z at fixed A is discussed.
Received: 16 December 1998 相似文献
8.
H.F. Lü J. Meng S.Q. Zhang S.-G. Zhou 《The European Physical Journal A - Hadrons and Nuclei》2003,17(1):19-24
Properties of single- Λ and double- Λ hypernuclei for even-N Ca isotopes ranging from the proton dripline to the neutron dripline are studied using the relativistic continuum Hartree-Bogoliubov
theory with a zero-range pairing interaction. Compared with ordinary nuclei, the addition of one or two Λ-hyperons lowers
the Fermi level. The predicted neutron dripline nuclei are, respectively, 75
ΛCa and 76
2ΛCa, as the additional attractive force provided by the Λ-N interaction shifts nuclei from outside to inside the dripline.
Therefore, the last bound hypernuclei have two more neutrons than the corresponding ordinary nuclei. Based on the analysis
of two-neutron separation energies, neutron single-particle energy levels, the contribution of continuum and nucleon density
distribution, giant halo phenomena due to the pairing correlation, and the contribution from the continuum are suggested to
exist in Ca hypernuclei similar to those that appear in ordinary Ca isotopes.
Received: 21 October 2002 / Accepted: 11 January 2003 / Published online: 8 April 2003 相似文献
9.
G. Parisi M. Ratiéville 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,22(2):229-237
We consider a class of random matching problems where the distance between two points has a probability law which, for a small
distance l, goes like lr. In the framework of the cavity method, in the limit of an infinite number of points, we derive equations for pk, the probability for some given point to be matched to its kth nearest neighbor in the optimal configuration. These equations are solved in two limiting cases: r = 0 -- where we recover p
k = 1/2k, as numerically conjectured by Houdayer et al. and recently rigorously proved by Aldous -- and r→ + ∞. For 0 < r < + ∞, we are not able to solve the equations analytically, but we compute the leading behavior of pk for large k.
Received 14 February 2001 相似文献
10.
B. Dubrulle 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,28(3):361-367
We study the scaling properties of heat transfer Nu in turbulent thermal convection at large Prandtl number Pr using a quasi-linear theory. We show that two regimes arise, depending on the Reynolds number Re. At low Reynolds number, NuPr
-1/2 and Re are a function of RaPr
-3/2. At large Reynolds number NuPr
1/3 and RePr are function only of RaPr
2/3 (within logarithmic corrections). In practice, since Nu is always close to Ra
1/3, this corresponds to a much weaker dependence of the heat transfer in the Prandtl number at low Reynolds number than at large
Reynolds number. This difference may solve an existing controversy between measurements in SF6 (large Re) and in alcohol/water (lower Re). We link these regimes with a possible global bifurcation in the turbulent mean flow. We further show how a scaling theory
could be used to describe these two regimes through a single universal function. This function presents a bimodal character
for intermediate range of Reynolds number. We explain this bimodality in term of two dissipation regimes, one in which fluctuation
dominate, and one in which mean flow dominates. Altogether, our results provide a six parameters fit of the curve Nu(Ra, Pr) which may be used to describe all measurements at Pr≥0.7.
Received 27 February 2002 / Received in final form 29 May 2002 Published online 31 July 2002 相似文献
11.
M. Martínez J.-L. Pichard 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,30(1):93-100
The two dimensional crossover from independent particle towards collective motion is studied using 2 polarized electrons (spinless
fermions) interacting via a U/r Coulomb repulsion in a L×L square lattice with periodic boundary conditions and nearest neighbor hopping t. Three regimes characterize the ground state when U/t increases. Firstly, when the fluctuation Δr of the spacing r between the two particles is larger than the lattice spacing a, there is a scaling length L
0 = π2(t/U) such that the relative fluctuation Δr/〈r〉 is a universal function of the dimensionless ratio L/L
0, up to finite size corrections of order L-2. L < L
0 and L > L
0 are respectively the limits of the free particle Fermi motion and of the correlated motion of a Wigner molecule. Secondly,
when U/t exceeds a threshold U
*(L)/t, Δr becomes smaller than a, giving rise to a correlated lattice regime where the previous scaling breaks down and analytical expansions in powers of
t/U become valid. A weak random potential reduces the scaling length and favors the correlated motion.
Received 28 March 2002 Published online 19 November 2002 相似文献
12.
S. Choe 《The European Physical Journal A - Hadrons and Nuclei》1998,3(1):65-73
In the QCD sum rule approach we predict the Λ (1405) mass by choosing the π0Σ0 multiquark interpolating field. It is found that the mass is about 1.419 GeV from Π1 (q
2) sum rule which is more reliable than Πq (q
2) sum rule, where Πq (q
2) and Π1 (q
2) are two invariant functions of the correlator Π (q
2). We also present the sum rules for the K
+
p and the π+Σ+ multiquark states, and compare to those for the π0Σ0 multiquark state. The mass of the Λ (1600) can be also reproduced in our approach.
Received: 11 November 1997 / Revised version: 28 April 1998 相似文献
13.
H. Tamura 《The European Physical Journal A - Hadrons and Nuclei》2002,13(1-2):181-187
Using a germanium-detector array for hypernuclear γ spectroscopy (Hyperball), we measured B(E2) of the 7
ΛLi hypernucleus and observed a significant shrinkage of the 6Li core induced by a Λ-particle. In this way, nuclear properties can be drastically changed by introducing a Λ-particle, which
can be investigated by high-resolution hypernuclear γ spectroscopy. In the future neutron-rich hypernuclei will also be studied,
where interesting modifications of nuclear structure by a Λ-particle are expected.
Received: 1 May 2001 / Accepted: 4 December 2001 相似文献
14.
L. Zhang W. Kleemann J. Dec R. Wang M. Itoh 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,28(2):163-171
The dielectric permittivity ε′ - i
of SrTi 18O 3 (STO18) is studied under a dc electric field E as a function of the temperature, T. In ε′
vs.
T, a double-peak is found when 0 < E < 30 KV/m. While the peak at high-T is attributed to the smeared ferroelectric phase transition, the low-T one is induced by domain wall motion. The transverse Ising model including an external homogeneous and quenched random-fields
is successfully used to describe both the smeared phase transition and the domain wall response in the low-T domain state. The calculations are in good agreement with the experimental results.
Received 4 January 2002 / Received in final form 25 March 2002 Published online 19 July 2002 相似文献
15.
A. Díaz-Sánchez A. Pérez-Garrido 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,24(4):483-486
The relaxation of the specific heat and the entropy to their equilibrium values is investigated numerically for the three-dimensional
Coulomb glass at very low temperatures. The long time relaxation follows a stretched exponential function, f (t) = f
0exp - (t/τ)β
, with the exponent β increasing with the temperature. The relaxation time diverges as an Arrhenius law when T→ 0.
Received 24 May 2001 and Received in final form 12 September 2001 相似文献
16.
The ΛΛ binding energy (B
ΛΛ) of the s- and p-shell hypernuclei are calculated variationally in the cluster model and multidimensional integrations are
performed using Monte Carlo. A variety of phenomenological Λ-core potentials consistent with the Λ-core energies and a wide
range of simulated s-state ΛΛ potentials are taken as input. The B
ΛΛ of ΛΛ6He is explained and ΛΛ5He and ΛΛ5H are predicted to be particle stable in the ΛΛ-core model. The results for s-shell hypernuclei are in excellent agreement
with those of non-VMC calculations. The ΛΛ10Be in ΛΛαα model is overbound for combinations of ΛΛ and Λα potentials. A phenomenological dispersive three-body force, V
Λαα, consistent with the B
Λ of Λ9Be in the Λαα model underbinds ΛΛ10Be. The incremental ΔB
ΛΛ values for the s- and p-shell cannot be reconciled, consistent with the finding of earlier analyses.
相似文献
17.
H.W. Diehl M. Smock 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,21(4):567-587
A class of continuum models with a critical end point is considered whose Hamiltonian [φ,ψ] involves two densities: a primary order-parameter field, φ, and a secondary (noncritical) one, ψ. Field-theoretic methods
(renormalization group results in conjunction with functional methods) are used to give a systematic derivation of singularities
occurring at critical end points. Specifically, the thermal singularity ∼ | t|2 - α of the first-order line on which the disordered or ordered phase coexists with the noncritical spectator phase, and the coexistence
singularity ∼ | t|1 - α or ∼ | t|β of the secondary density <ψ> are derived. It is clarified how the renormalization group (RG) scenario found in position-space
RG calculations, in which the critical end point and the critical line are mapped onto two separate fixed points
CEP
* and
λ
*, translates into field theory. The critical RG eigenexponents of
CEP
* and
λ
* are shown to match.
CEP
* is demonstrated to have a discontinuity eigenperturbation (with eigenvalue y = d), tangent to the unstable trajectory that emanates from
CEP
* and leads to
λ
*. The nature and origin of this eigenperturbation as well as the role redundant operators play are elucidated. The results
validate that the critical behavior at the end point is the same as on the critical line.
Received 18 January 2001 相似文献
18.
V. Kumaran 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,4(4):519-527
The stability of wall modes in a flexible tube of radius R surrounded by a viscoelastic material in the region R < r < H R in the high Reynolds number limit is studied using asymptotic techniques. The fluid is a Newtonian fluid, while the wall
material is modeled as an incompressible visco-elastic solid. In the limit of high Reynolds number, the vorticity of the wall
modes is confined to a region of thickness in the fluid near the wall of the tube, where the small parameter , and the Reynolds number is , and are the fluid density and viscosity, and V is the maximum fluid velocity. The regime is considered in the asymptotic analysis, where G is the shear modulus of the wall material. In this limit, the ratio of the normal stress and normal displacement in the wall,
, is only a function of H and scaled wave number . There are multiple solutions for the growth rate which depend on the parameter .In the limit , which is equivalent to using a zero normal stress boundary condition for the fluid, all the roots have negative real parts,
indicating that the wall modes are stable. In the limit , which corresponds to the flow in a rigid tube, the stable roots of previous studies on the flow in a rigid tube are recovered.
In addition, there is one root in the limit which does not reduce to any of the rigid tube solutions determined previously. The decay rate of this solution decreases
proportional to in the limit , and the frequency increases proportional to .
Received: 5 November 1997 / Revised: 10 March 1998 / Accepted: 29 April 1998 相似文献
19.
On the basis of the experimental data on diffractive processes in πp, pp and pˉp collisions at intermediate, moderately high and high energies, we restore the scattering amplitude related to the t-channel exchange by vacuum quantum numbers by taking account of the diffractive s-channel rescatterings. At intermediate and moderately high energies, the t-channel exchange amplitude turns, with a good accuracy, into an effective pomeron which renders the results of the additive
quark model. At superhigh energies the scattering amplitude provides a Froissart-type behaviour, with an asymptotic universality
of cross sections such as σtot
πp/σtot
pp→ 1 at s→∞. The quark structure of hadrons being taken into account at the level of constituent quarks, the cross sections of pion
and proton (antiproton) in the impact parameter space of quarks, σπ(r
1⊥, r
2⊥; s) and σp(r
1⊥, r
2⊥, r
3⊥; s), are found as functions of s. These cross sections implicate the phenomenon of colour screening: they tend to zero at |r
i⊥−r
k⊥|→ 0. The effective colour screening radius for pion (proton) is found for different s. The predictions for the diffractive cross sections at superhigh energies are presented.
Received: 15 December 1998 相似文献
20.
J.M. Drouffe C. Godrèche 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,20(2):281-288
We study the statistical properties of the sum S
t =
dt'σ
t', that is the difference of time spent positive or negative by the spin σ
t, located at a given site of a D-dimensional Ising model evolving under Glauber dynamics from a random initial configuration. We investigate the distribution
of St and the first-passage statistics (persistence) of this quantity. We discuss successively the three regimes of high temperature
( T > T
c), criticality ( T = T
c), and low temperature ( T < T
c). We discuss in particular the question of the temperature dependence of the persistence exponent , as well as that of the spectrum of exponents (x), in the low temperature phase. The probability that the temporal mean S
t/t was always larger than the equilibrium magnetization is found to decay as t
-
- ?. This yields a numerical determination of the persistence exponent in the whole low temperature phase, in two dimensions, and above the roughening transition, in the low-temperature phase
of the three-dimensional Ising model.
Received 4 December 2000 相似文献