2,916 research outputs found
Non-perturbative solutions in the electro-weak theory with condensate and the -quark mass
We apply Bogoliubov compensation principle to the gauge electro-weak
interaction to demonstrate a spontaneous generation of anomalous three-boson
gauge invariant effective interaction. The non-trivial solution of compensation
equations uniquely defines the form-factor of the anomalous interaction and
parameters of the theory including value of gauge electro-weak coupling
in satisfactory agreement with its experimental value. A possibility
of spontaneous generation of effective four-fermion interaction of heavy quarks
is also demonstrated. This interaction defines an equation for a scalar bound
state of heavy quarks which serve as a substitute for the elementary scalar
Higgs doublet. As a result we calculate the -quark mass
in satisfactory agreement with the experimental value. The results strongly
support idea of condensate as a source of the electro-weak symmetry
breaking.Comment: 16 pages, 5 figures. arXiv admin note: substantial overlap with
arXiv:1103.395
CDF Wjj anomaly as a non-perturbative effect of the electro-weak interaction
The recently reported CDF excess at in invariant mass
distribution of jet pairs accompanying -boson is tentatively interpreted as
a bound state of two decaying to quark-anti-quark pair. Non-perturbative
effects of EW interaction obtained by application of Bogoliubov compensation
approach lead to such bound state due to existence of anomalous three-boson
gauge-invariant effective interaction. The application of this scheme gives
satisfactory agreement with existing data without any adjusting parameter but
the bound state mass .Comment: 5 pages, 2 figure
Finite-size scaling in the interfacial stiffness of rough elastic contacts
The total elastic stiffness of two contacting bodies with a microscopically
rough interface has an interfacial contribution K that is entirely attributable
to surface roughness. A quantitative understanding of K is important because it
can dominate the total mechanical response and because it is proportional to
the interfacial contributions to electrical and thermal conductivity in
continuum theory. Numerical simulations of the dependence of K on the applied
squeezing pressure p are presented for nominally flat elastic solids with a
range of surface roughnesses. Over a wide range of p, K rises linearly with p.
Sublinear power-law scaling is observed at small p, but the simulations reveal
that this is a finite-size effect. We derive accurate, analytical expressions
for the exponents and prefactors of this low-pressure scaling of K by extending
the contact mechanics theory of Persson to systems of finite size. In agreement
with our simulations, these expressions show that the onset of the low-pressure
scaling regime moves to lower pressure as the system size increases.Comment: Supplementary material is available at arXiv:1210.4255, 5 pages, 3
figure
Ferromagnetism and Lattice Distortions in the Perovskite YTiO
The thermodynamic properties of the ferromagnetic perovskite YTiO are
investigated by thermal expansion, magnetostriction, specific heat, and
magnetization measurements. The low-temperature spin-wave contribution to the
specific heat, as well as an Arrott plot of the magnetization in the vicinity
of the Curie temperature K, are consistent with a
three-dimensional Heisenberg model of ferromagnetism. However, a magnetic
contribution to the thermal expansion persists well above , which
contrasts with typical three-dimensional Heisenberg ferromagnets, as shown by a
comparison with the corresponding model system EuS. The pressure dependences of
and of the spontaneous moment are extracted using thermodynamic
relationships. They indicate that ferromagnetism is strengthened by uniaxial
pressures and is weakened by uniaxial
pressures and hydrostatic pressure.
Our results show that the distortion along the - and -axes is further
increased by the magnetic transition, confirming that ferromagnetism is favored
by a large GdFeO-type distortion. The c-axis results however do not fit
into this simple picture, which may be explained by an additional
magnetoelastic effect, possibly related to a Jahn-Teller distortion.Comment: 12 pages, 13 figure
Lattice Relaxation and Charge-Transfer Optical Transitions Due to Self-Trapped Holes in Non-Stoichiometric LaMnO Crystal
We use the Mott-Littleton approach to evaluate polarisation energies in
LaMnO lattice associated with holes localized on both Mn cation and
O anion. The full (electronic and ionic) lattice relaxation energy for a
hole localized at the O-site is estimated as 2.4 eV which is appreciably
greater than that of 0.8 eV for a hole localized at the Mn-site, indicating on
the strong electron-phonon interaction in the former case. Using a Born-Haber
cycle we examine thermal and optical energies of the hole formation associated
with electron ionization from Mn, O and La ions in
LaMnO lattice. For these calculations we derive a phenomenological value
for the second electron affinity of oxygen in LaMnO lattice by matching the
optical energies of La and O hole formation with maxima of binding
energies in the experimental photoemission spectra. The calculated thermal
energies predict that the electronic hole is marginally more stable in the
Mn state in LaMnO host lattice, but the energy of a hole in the
O state is only higher by a small amount, 0.75 eV, rather suggesting that
both possibilities should be treated seriously. We examine the energies of a
number of fundamental optical transitions, as well as those involving
self-trapped holes of Mn and O in LaMnO lattice. The reasonable
agreement with experiment of our predicted energies, linewidths and oscillator
strengths leads us to plausible assignments of the optical bands observed. We
deduce that the optical band near 5 eV is associated with O(2p) - Mn(3d)
transition of charge-transfer character, whereas the band near 2.3 eV is rather
associated with the presence of Mn and/or O self-trapped holes in
non-stoichiometric LaMnO compound.Comment: 18 pages, 6 figures, it was presented partially at SCES-2001
conference in Ann Arbor, Michiga
Traffic Network Optimum Principle - Minimum Probability of Congestion Occurrence
We introduce an optimum principle for a vehicular traffic network with road
bottlenecks. This network breakdown minimization (BM) principle states that the
network optimum is reached, when link flow rates are assigned in the network in
such a way that the probability for spontaneous occurrence of traffic breakdown
at one of the network bottlenecks during a given observation time reaches the
minimum possible value. Based on numerical simulations with a stochastic
three-phase traffic flow model, we show that in comparison to the well-known
Wardrop's principles the application of the BM principle permits considerably
greater network inflow rates at which no traffic breakdown occurs and,
therefore, free flow remains in the whole network.Comment: 22 pages, 6 figure
- …