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41.
A. A. Malyarenko 《Ukrainian Mathematical Journal》1999,51(1):66-75
We consider local properties of smaple functions of Gaussian isotropic random fields on compact Riemannian symmetric spacesM of rank 1. We give conditions under which the sample functions of a field almost surely possess logarithmic and power modulus
of continuity. As a corollary, we prove a theorem of the Bernstein type for optimal approximations of functions of this sort
by harmonic polynomials in the metric of the spaceL
2(M). We use theorems of the Jackson-Bernstein-type to obtain sufficient conditions for the sample functions of a field to almost
surely belong to the classes of functions associated with the Riesz and Cesàro means.
International Mathematical Center, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal,
Vol. 51, No. 1, pp. 60–68, January, 1999. 相似文献
42.
V. V. Prudnikov P. V. Prudnikov P. N. Malyarenko 《Journal of Experimental and Theoretical Physics》2017,125(6):1102-1115
The effect of different initial values m0 of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initial states on the aging effects that are characterized by anomalous retardation of relaxation and correlation in the system upon an increase in the waiting time. We have studied the violations of the fluctuation–dissipation theorem and calculated the limiting fluctuation–dissipation ratio. It is shown that in the nonequilibrium critical behavior of the 3D Ising model, two universality subclasses corresponding to the evolution of the system from the high-temperature (with m0 = 0) and low-temperature (with m0 = 1) initial states with the values of the limiting fluctuation–dissipation ratio typical of these states can be singled out. 相似文献
43.
44.
W. Scandale A. Vomiero E. Bagli S. Baricordi P. Dalpiaz M. Fiorini V. Guidi A. Mazzolari D. Vincenzi R. Milan Gianantonio Della Mea E. Vallazza A.G. Afonin Yu.A. Chesnokov V.A. Maisheev I.A. Yazynin V.M. Golovatyuk A.D. Kovalenko A.M. Taratin A.S. Denisov Yu.A. Gavrikov Yu.M. Ivanov L.P. Lapina L.G. Malyarenko V.V. Skorobogatov V.M. Suvorov S.A. Vavilov D. Bolognini S. Hasan A. Mattera M. Prest S. Shiraishi 《Physics letters. [Part B]》2009,681(3):233-236
Deflection due to planar channeling and volume reflection in short bent silicon crystals was observed for the first time for 150 GeV/c negative particles, π− mesons, at one of the secondary beams of the CERN SPS. The deflection efficiency was about 30% for channeling and higher than 80% for volume reflection. Volume reflection occurs, in spite of the attractive character of the forces acting between the particles and the crystal planes, in a wide angular range of the crystal orientations determined by the crystal bend angle. 相似文献
45.
W. Scandale A. Vomiero E. Bagli S. Baricordi P. Dalpiaz M. Fiorini V. Guidi A. Mazzolari D. Vincenzi R. Milan Gianantonio Della Mea E. Vallazza A.G. Afonin Yu.A. Chesnokov V.A. Maisheev I.A. Yazynin V.M. Golovatyuk A.D. Kovalenko A.M. Taratin A.S. Denisov Yu.A. Gavrikov Yu.M. Ivanov L.P. Lapina L.G. Malyarenko V.V. Skorobogatov V.M. Suvorov S.A. Vavilov D. Bolognini S. Hasan A. Mattera M. Prest V.V. Tikhomirov 《Physics letters. [Part B]》2009
Multiple volume reflection by different planes in a bent silicon crystal with its 〈111〉 axis orientation close to the beam direction was observed for the first time for 400 GeV/c protons at the CERN SPS. The proton beam was deflected to the side opposite to the crystal bend by an angle of about 67 μrad, which is five times larger than in a single volume reflection by the (110) bent planes. The registered efficiency of one side deflection was about 84%. It was shown that multiple volume reflection transforms to a single volume reflection when the orientation angle of the 〈111〉 axis relative to the beam direction is increased. 相似文献
46.
The effect of various initial magnetizations m0 and structural defects the nonequilibrium critical behavior of the three-dimensional Ising model is numerically studied. Based on an analysis of the time dependence of the magnetization and the two-time dependence of the autocorrelation function and dynamic susceptibility, the significant effect of initial states on relaxation magnetizations and aging effects characterized by anomalous relaxation inhibition and correlation in the system with increasing waiting time was revealed. The fluctuation–dissipation theorem violation was studied, and the values of the limit fluctuation–dissipation ratio (FDR) are calculated. It is shown that two universality subclasses can be distinguished in the nonequilibrium critical behavior of the three-dimensional Ising model with random initial magnetization m0 These subclasses correspond to the system evolution from the high-temperature (m0 = 0) and low-temperature (m0 = 1) initial states with limit FDRs characteristic of these states. 相似文献