986 research outputs found
Self-consistent theory of turbulence
A new approach to the stochastic theory of turbulence is suggested. The
coloured noise that is present in the stochastic Navier-Stokes equation is
generated from the delta-correlated noise allowing us to avoid the nonlocal
field theory as it is the case in the conventional theory. A feed-back
mechanism is introduced in order to control the noise intensity.Comment: submitted to J.Tech. Phys.Letters (St. Petersburg
Leading infrared logarithms for sigma-model with fields on arbitrary Riemann manifold
We derive non-linear recursion equation for the leading infrared logarithms
(LL) in four dimensional sigma-model with fields on an arbitrary Riemann
manifold. The derived equation allows one to compute leading infrared
logarithms to essentially unlimited loop order in terms of geometric
characteristics of the Riemann manifold.
We reduce the solution of the SU(oo) principal chiral field in arbitrary
number of dimensions in the LL approximation to the solution of very simple
recursive equation. This result paves a way to the solution of the model in
arbitrary number of dimensions at N-->ooComment: Talk given by MVP at the conference devoted to memory of A.N.
Vasilie
Magnetic properties and magnetostructural phase transitions in Ni2+xMn1-xGa shape memory alloys
A systematic study of magnetic properties of Ni2+xMn1-xGa (0 \le x \le 0.19)
Heusler alloys undergoing structural martensite-austenite transformations while
in ferromagnetic state has been performed. From measurements of spontaneous
magnetization, Ms(T), jumps \Delta M at structural phase transitions were
determined. Virtual Curie temperatures of the martensite were estimated from
the comparison of magnetization in martensitic and austenitic phases. Both
saturation magnetic moments in ferromagnetic state and effective magnetic
moments in paramagnetic state of Mn and Ni atoms were estimated and the
influence of delocalization effects on magnetism in these alloys was discussed.
The experimental results obtained show that the shift of martensitic transition
temperature depends weakly on composition. The values of this shift are in good
correspondence with Clapeyron-Clausius formalism taking into account the
experimental data on latent heat at martensite-austenite transformations.Comment: 7 pages, 8 figure
An improved \eps expansion for three-dimensional turbulence: two-loop renormalization near two dimensions
An improved \eps expansion in the -dimensional () stochastic
theory of turbulence is constructed at two-loop order which incorporates the
effect of pole singularities at in coefficients of the \eps
expansion of universal quantities. For a proper account of the effect of these
singularities two different approaches to the renormalization of the powerlike
correlation function of the random force are analyzed near two dimensions. By
direct calculation it is shown that the approach based on the mere
renormalization of the nonlocal correlation function leads to contradictions at
two-loop order. On the other hand, a two-loop calculation in the
renormalization scheme with the addition to the force correlation function of a
local term to be renormalized instead of the nonlocal one yields consistent
results in accordance with the UV renormalization theory. The latter
renormalization prescription is used for the two-loop renormalization-group
analysis amended with partial resummation of the pole singularities near two
dimensions leading to a significant improvement of the agreement with
experimental results for the Kolmogorov constant.Comment: 23 pages, 2 figure
High frequency dielectric and magnetic anomaly at the phase transition in NaV2O5
We found anomalies in the temperature dependence of the dielectric and the
magnetic susceptibiliy of NaV_2O_5 in the microwave and far infrared frequency
ranges. The anomalies occur at the phase transition temperature T_c, at which
the spin gap opens. The real parts of the dielectric constants epsilon_a and
epsilon_c decrease below T_c. The decrease of epsilon_a (except for the narrow
region close to T_c) is proportional to the intensity of the x-ray reflection
appearing at T_c. The dielectric constant anomaly can be explained by the
zigzag charge ordering in the ab-plane appearing below T_c. The anomaly of the
microwave magnetic losses is probably related to the coupling between the spin
and charge degrees of freedom in vanadium ladders.Comment: 3 PS-figures, LATEX-text, new experimental data added, typos
correcte
Ground state order and spin-lattice coupling in tetrahedral spin systems Cu2Te2O5X2
High-resolution ac susceptibility and thermal conductivity measurement on
Cu2Te2O5X2(X=Br,Cl) single crystals are reported. For Br-sample, sample
dependence prevents to distinguish between possibilities of magnetically
ordered and spin-singlet ground states. In Cl-sample a three-dimensional
transition at 18.5 K is accompanied by almost isotropic behavior of
susceptibility and almost switching behavior of thermal conductivity. Thermal
conductivity studies suggest the presence of a tremendous spin-lattice coupling
characterizing Cl- but not Br-sample. Below the transition Cl-sample is in a
complex magnetic state involving AF order but also the elements consistent with
the presence of a gap in the excitation spectrum.Comment: version accepted for publication in Phys.Rev.B-Rapid Communicatio
Coherent interaction of laser pulses in a resonant optically dense extended medium under the regime of strong field-matter coupling
Nonstationary pump-probe interaction between short laser pulses propagating
in a resonant optically dense coherent medium is considered. A special
attention is paid to the case, where the density of two-level particles is high
enough that a considerable part of the energy of relatively weak external
laser-fields can be coherently absorbed and reemitted by the medium. Thus, the
field of medium reaction plays a key role in the interaction processes, which
leads to the collective behavior of an atomic ensemble in the strongly coupled
light-matter system. Such behavior results in the fast excitation interchanges
between the field and a medium in the form of the optical ringing, which is
analogous to polariton beating in the solid-state optics. This collective
oscillating response, which can be treated as successive beats between light
wave-packets of different group velocities, is shown to significantly affect
propagation and amplification of the probe field under its nonlinear
interaction with a nearly copropagating pump pulse. Depending on the probe-pump
time delay, the probe transmission spectra show the appearance of either
specific doublet or coherent dip. The widths of these features are determined
by the density-dependent field-matter coupling coefficient and increase during
the propagation. Besides that, the widths of the coherent features, which
appear close to the resonance in the broadband probe-spectrum, exceed the
absorption-line width, since, under the strong-coupling regime, the frequency
of the optical ringing exceeds the rate of incoherent relaxation. Contrary to
the stationary strong-field effects, the density- and coordinate-dependent
transmission spectra of the probe manifest the importance of the collective
oscillations and cannot be obtained in the framework of the single-atom model.Comment: 10 pages, 8 figures, to be published in Phys. Rev.
A multiloop improvement of non-singlet QCD evolution equations
An approach is elaborated for calculation of "all loop" contributions to the
non-singlet evolution kernels from the diagrams with renormalon chain
insertions. Closed expressions are obtained for sums of contributions to
kernels for the DGLAP equation and for the "nonforward" ER-BL
equation from these diagrams that dominate for a large value of , the
first -function coefficient. Calculations are performed in the covariant
-gauge in a MS-like scheme. It is established that a special choice of the
gauge parameter generalizes the standard "naive nonabelianization"
approximation. The solutions are obtained to the ER-BL evolution equation
(taken at the "all loop" improved kernel), which are in form similar to
one-loop solutions. A consequence for QCD descriptions of hard processes and
the benefits and incompleteness of the approach are briefly discussed.Comment: 13 pages, revtex, 2 figures are enclosed as eps-file, the text style
and figures are corrected following version, accepted for publication to
Phys. Rev.
Critical exponents from two-particle irreducible 1/N expansion
We calculate the critical exponent in the 1/N expansion of the
two-particle-irreducible (2PI) effective action for the O(N) symmetric model in three spatial dimensions. The exponent controls the behavior
of a two-point function {\it near} the critical point , but can be evaluated on the critical point by the use of the
vertex function . We derive a self-consistent equation for
within the 2PI effective action, and solve it by iteration in
the 1/N expansion. At the next-to-leading order in the 1/N expansion, our
result turns out to improve those obtained in the standard
one-particle-irreducible calculation.Comment: 18 page
Self-Organization in Multimode Microwave Phonon Laser (Phaser): Experimental Observation of Spin-Phonon Cooperative Motions
An unusual nonlinear resonance was experimentally observed in a ruby phonon
laser (phaser) operating at 9 GHz with an electromagnetic pumping at 23 GHz.
The resonance is manifested by very slow cooperative self-detunings in the
microwave spectra of stimulated phonon emission when pumping is modulated at a
superlow frequency (less than 10 Hz). During the self-detuning cycle new and
new narrow phonon modes are sequentially ``fired'' on one side of the spectrum
and approximately the same number of modes are ``extinguished'' on the other
side, up to a complete generation breakdown in a certain final portion of the
frequency axis. This is usually followed by a short-time refractority, after
which the generation is fired again in the opposite (starting) portion of the
frequency axis. The entire process of such cooperative spectral motions is
repeated with high degree of regularity. The self-detuning period strongly
depends on difference between the modulation frequency and the resonance
frequency. This period is incommensurable with period of modulation. It
increases to very large values (more than 100 s) when pointed difference is
less than 0.05 Hz. The revealed phenomenon is a kind of global spin-phonon
self- organization. All microwave modes of phonon laser oscillate with the same
period, but with different, strongly determined phase shifts - as in optical
lasers with antiphase motions.Comment: LaTeX2e file (REVTeX4), 5 pages, 5 Postscript figures. Extended and
revised version of journal publication. More convenient terminology is used.
Many new bibliographic references are added, including main early theoretical
and experimental papers on microwave phonon lasers (in English and in
Russian
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