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1.
For a translation invariant Gibbs measure on the configuration space X of a lattice finite spin system, we consider the set X
of generic points. Using a Breiman type convergence theorem on the set X
of generic points of an arbitrary translation invariant probability measure on X, we evaluate the Hausdorff dimension of the set X
with respect to any metric out of a wide class of scale metrics on X (including Billingsley metrics generated by Gibbs measures). 相似文献
2.
Lawrence E. Thomas 《Communications in Mathematical Physics》1980,77(3):211-218
Let 1 and 2 be thermodynamic Gibbs measures on
m
and
n
, respectively. Diffusions are constructed having 1, and 2 as invariant measures. These diffusions are then coupled; inequalities between expectations of certain random variables on the two spaces result.Partially supported by NSF-MCS 74-07313-A03 相似文献
3.
Gabriel Nagy 《Communications in Mathematical Physics》1993,153(2):217-228
We prove that the Haar state associated to the compact matrix quantum groupSU
(N) is faithful for ]–1,1[,0, and anyN2. 相似文献
4.
V. Doormann J. -P. Krumme C. -P. Klages M. Erman 《Applied Physics A: Materials Science & Processing》1984,34(4):223-230
Refractive-index and optical-absorption spectra of Bi-substituted yttrium iron garnet films, epitaxially grown by liquid-phase epitaxy, have been measured in the spectral regime 0.26 m1.9 m by thin-film interference for 0.52 m and by ellipsometry for0.52 m. The Y3–x–y
Bi
x
Pb
y
Fe5–z
Pt
z
O12 films contain bismuth in the range Ox 1.42, lead in the range 0.01 y0.08 and platinum in the range 0.005<=z0.03. There is satisfactory coincidence between the results from ellipsometry and thin-film interference in the overlapping wavelength region. The materials investigated are the same as reported earlier from this laboratory in ter mof their magnetic and magnetooptic properties. 相似文献
5.
Haydeh Sirousse Zia 《General Relativity and Gravitation》1994,26(6):587-597
By using the [General Relativity + additional matter fields] formulation (which depends on a redefined metrich
) of metric theories of gravitation, the study of singularities characterized by incomplete nonspacelike geodesics is simplified, but may be used only if (at least) the non-spacelike geodesics of the original metricg
are conserved under the transformation betweeng
and the new metrich
. In order that every class of geodesies of a diagonal Bianchi I metric correspond to the same class of geodesies of a diagonal metrich
, it is necessary that the transformation between these two metrics be a constant (positive) conformal transformation. We analyse the implications of the previous results for the singularitiesg
when the latter is a solution of theories with a quadratic or polynomial Lagrangian. 相似文献
6.
C. Meunier 《Journal of statistical physics》1984,36(3-4):321-365
We study a simple dynamical system which displays a so-called type-I intermittency bifurcation. We determine the Bowen-Ruelle measure and prove that the expectation (g) of any continuous functiong and the Kolmogoroff-Sinai entropyh() are continuous functions of the bifurcation parameter. Therefore the transition is continuous from a measure-theoretical point of view. Those results could be generalized to any similar dynamical system. 相似文献
7.
G. Tauber 《General Relativity and Gravitation》1980,12(12):1043-1054
The spin-two particle is described by a symmetric tensorh
subject to the subsidiary conditionsh
=
h
=0. Their covariant generalization and the wave equation have been obtained directly from the Eulerian variational equations by algebraic methods only. In addition to the tensor fieldh
a symmetric third-rank tensor
=
as well as a vector fieldA
have been added, neither of which enter in the final result. The Lagrangian function is taken as a linear sum of all combinations which can be constructed from these functions, as well as terms involving the curvature tensor and its two possible contractions. Variation with respect toh
,
andA
independently gives the Euler equations. Combining the various trace equations and choice of arbitrary constants yields the subsidiary conditions, while the Euler equations themselves give the connection between the auxiliary functions and the tensorh
as well as the generalization of the wave equationD
D
h
+ 2R
h
-R
h
-R
h
+g
R
h
+Rh
=m
2
h
Finally, variation with respect tog
yields the energy-momentum tensor. 相似文献
8.
H. Daniel 《Hyperfine Interactions》1993,82(1-4):409-421
Muon catalyzed fusion of deuterium and tritium (CF) yields the same energy gain per reaction as fusion with magnetic or inertial confinement (17.6 MeV). The crucial points of Cf are, however, very different, namely (a) the energy costW
() for production of one – and (b) the numbern of reactions a single muon can catalyze on the average. (b) is ultimately limited by theeffective sticking probability
f :n1/
f. With standard methods one hasW
()5 GeV,
f=0.5%. Hence a standard CF reactor can never reach a net energy gain. To solve this problem, ways discussed since about a decade are to increase the efficiency by both (i) energy multiplication using a fissionable blanket and (ii) breeding. A new way to increase the safety of fission devices mostly due to Yu. Petrov is outlined. On the other hand there is a hope to lowerW
() slightly and
f drastically, the latter by artificial reactivation. New theoretical results for beam cooling in an omegatron type driven integrated CF reactor, important forW
() and, in particular,
f, is presented. 相似文献
9.
Christof Külske 《Journal of statistical physics》1998,91(1-2):155-176
We continue to investigate the size dependence of disordered mean-field models with finite local spin space in more detail, illustrating the concept of superstates as recently proposed by Bovier and Gayrard. We discuss various notions of convergence for the behavior of the paths (t[tN]())
t(0, 1] in the thermodynamic limit N. Here
n
() is the Gibbs measure in the finite volume {1,..., n} and is the disorder variable. In particular we prove refined convergence statements in our concrete examples, the Hopfield model with finitely many patterns (having continuous paths) and the Curie–Weiss random-field Ising model (having singular paths). 相似文献
10.
Pierre van Baal 《Communications in Mathematical Physics》1983,92(1):1-18
We give a simplified construction of twist eating configurations, based on a theorem due to Frobenius. These configurations are defined through the equation:U
U
U
+
U
+
=exp(2in
/N) withU
SU(N), =1 tod andn
an antisymmetric matrix with integer entries. In the (Twisted)-Eguchi-Kawai model they yield extrema some of which survive forN. Comparison is made with the Monte Carlo data of the internal energy in the small coupling region. 相似文献
11.
Abraham Boyarsky 《Journal of statistical physics》1988,50(1-2):213-229
Let : [0, 1][0, 1] be a piecewise monotonie expanding map. Then admits an absolutely continuous invariant measure. A result of Kosyakin and Sandler shows that can be approximated by a sequence of absolutely continuous measures
n
invariant under piecewise linear Markov maps itn. Each itn is constructed on the inverse images of the turning points of . The easily computable measures
n
are used to estimate the Liapunov exponent of . The idea of using Markov maps for estimating the Liapunov exponent is applied to both expanding and nonexpanding maps. 相似文献
12.
A. Amato C. Geibel F. N. Gygax R. H. Heffner E. Knetsch D. E. MacLaughlin C. Schank A. Schenck F. Steglich M. Weber 《Zeitschrift für Physik B Condensed Matter》1992,86(2):159-160
Positive-muon spin rotation (
+ SR) measurements have been carried out in the new heavy-fermion superconductors UM2Al3, M=Ni and Pd. In UNi2Al3 the observed
+ frequencies in zero applied field indicate commensurate antiferromagnetic (AF) ordering of U moments 0.1
B
/U atom. These moments coexist with superconductivity and have the highest values observed in an AF heavy-fermion superconductor. The absence of well-defined frequencies in zero-field
+ SR in the AF state of UPd2Al3 suggests symmetric
+ stopping sites. In this system
+ SR linewidths belowT
c
yield a preliminary value of 8000 Å for the London penetration depth. 相似文献
13.
Rates of particle-emitting decay of the resonant state of the muonic molecular ion (dHe)
J=1 lying below the (d)1s-He threshold can decay to the d-He scattering state. The resonant state is estimated by scattering calculations with the non-adiabatic coupled-rearrangement-channel method. Strong isotope dependence of the decay rates of (d3He)
J=1 and (d4He)
J=1 is predicted, though the calculated radiative decay rates of the states are almost the same. In (d3He)
J=1, the particle decay width is three times larger than the radiative decay width, while the two types of decay widths are almost the same in (d4He)
J=1. This results in a strong hindrance of the branching ratio of the radiative decay of (d3He)
J=1 compared with the case of (d4He)
J=1. This is consistent with a recent observation of the radiative decay of the two molecular states. 相似文献
14.
David Ruelle 《Journal of statistical physics》1997,86(5-6):935-951
We study nonequilibrium statistical mechanics in the presence of a thermostat acting by random forces, and propose a formula for the rate of entropy productione() in a state . When is a natural nonequilibrium steady state we show thate()0, and sometimes we can provee()>0. 相似文献
15.
Boguslaw Zegarlinski 《Letters in Mathematical Physics》1990,20(3):173-182
For a system on an infinite lattice, we show that a Gibbs measure for a smooth local specification ={E
} satisfying the Dobrushin uniqueness theorem also satisfies log-Sobolev inequality, provided it is satisfied for one-dimensional measures E
l
. 相似文献
16.
C. Petitjean D. V. Balin V. N. Baturin P. Baumann W. H. Breunlich T. Case K. M. Crowe H. Daniel Yu. S. Grigoriev F. J. Hartmann A. I. Ilyin M. Jeitler P. Kammel B. Lauss K. Lou E. M. Maev J. Marton M. Mühlbauer G. E. Petrov W. Prymas W. Schott G. G. Semenchuk Yu. V. Smirenin A. A. Vorobyov N. I. Voropaev P. Wojciechowski J. Zmeskal 《Hyperfine Interactions》1993,82(1-4):273-293
The sticking process dt + n, which constitutes the most severe limit to the number of fusions which a muon can catalyze, is reviewed. Many attempts were made to determine by calculations and measurements the probability for initial sticking
s
0
(immediately after dt fusion) and for final sticking
s (after the came to rest). Previous results based on neutron disappearance rates and on the observation of -X-rays were controversial and also in some disagreement with theory. New data are reported from PSI on direct observation of final sticking, using a setup with the St. Petersburg ionization chamber. These data mark a significant improvement in reliability and may clarify questions concerning previous discrepancies. The new results is
s(0.56±0.04)%, lower than the theory prediction
s=(0.65±0.03)%, at medium density. 相似文献
17.
The possible existence of a vector leptonic resonance (0) in the +– system is considered. We discuss the effect such a resonance would have on the g factor of the muon and also on the ratio of the partial widths of the muonic and electronic decay modes (RV = (V +–)/G (V e+ e–)) of the neutral vector mesons
0,,,, and. From the experimental values of R and R, the following values are obtained for the mass, coupling constant, and partial decay widths of the resonance: M = 872 ± 60 MeV, f2/4 = 4 ± 2) ·10–4, (
0
+
–) = 0.12±0.06 MeV, and (0 0 +–) = 0.13±0.06 MeV.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 39–43, May, 1977. 相似文献
18.
Leif Arkeryd Carlo Cercignani Reinhard Illner 《Communications in Mathematical Physics》1991,142(2):285-296
It is shown that the steady Boltzmann equation in a slab [0,a] has solutionsx
x
such that the ingoing boundary measures
0{>0} and
{<0} can be prescribed a priori. The collision kernel is truncated such that particles with smallx-component of the velocity have a reduced collision rate. 相似文献
19.
G. Lessner 《International Journal of Theoretical Physics》1977,16(2):99-110
An approximation method is developed to calculate the gravitational field of a matter sourceT
moving on a curved background metric that is an exact solution of the field equations and deviates only weakly from flat space-time. The fieldh
of the sourceT
is supposed to be much smaller than the curved part of the background, so that in the series expansion ofh
each order can be expanded in powers of the background. 相似文献
20.
We use the algorithm recently introduce by A. Berretti and A. D. Sokal to compute numerically the critical exponents for the self-avoiding random walk on the hexagonal lattice. We find=1.3509±0.0057±0.0023v=0.7580±0.0049±0.0046=0.519±0.082±0.077 where the first error is the systematic one due to corrections to scaling and the second is the statistical error. For the effective coordination number we find=1.84779±0.00006±0.0017 The results support the Nienhuis conjecture=43/32 and provide a rough numerical check of the hyperscaling relationdv=2–. An additional analysis, taking the Nienhuis value of=(2+21/2)1/2 for granted, gives=1.3459±0.0040±0.0008 相似文献