10,535 research outputs found
Speed of light on rotating platforms
It is often taken for granted that on board a rotating disk it is possible to
operate a \QTR{it}{global}3+1 splitting of space-time, such that both lengths
and time intervals are \QTR{it}{uniquely} defined in terms of measurements
performed by real rods and real clocks at rest on the platform. This paper
shows that this assumption, although widespread and apparently trivial, leads
to an anisotropy of the velocity of two light beams travelling in opposite
directions along the rim of the disk; which in turn implies some recently
pointed out paradoxical consequences undermining the self-consistency of the
Special Theory of Relativity (SRT). A correct application of the SRT solves the
problem and recovers complete internal consistency for the theory. As an
immediate consequence, it is shown that the Sagnac effect only depends on the
non homogeneity of time on the platform and has nothing to do with any
anisotropy of the speed of light along the rim of the disk, contrary to an
incorrect but widely supported idea.Comment: Latex, 2 figure
Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld
The phase shift a neutron interferometer caused by the gravitational field
and the rotation of the earth is derived in a unified way from the standpoint
of general relativity. General relativistic quantum interference effects in the
slowly rotating braneworld as the Sagnac effect and phase shift effect of
interfering particle in neutron interferometer are considered. It was found
that in the case of the Sagnac effect the influence of brane parameter is
becoming important due to the fact that the angular velocity of the locally non
rotating observer must be larger than one in the Kerr space-time. In the case
of neutron interferometry it is found that due to the presence of the parameter
an additional term in the phase shift of interfering particle emerges
from the results of the recent experiments we have obtained upper limit for the
tidal charge as . Finally, as an example, we
apply the obtained results to the calculation of the (ultra-cold neutrons)
energy level modification in the braneworld.Comment: 12 pages, 2 figure
The pseudomorphic to bulk fcc phase transition of thin Ni films on Pd(100)
We have measured the transformation of pseudomorphic Ni films on Pd(100) into
their bulk fcc phase as a function of the film thickness. We made use of x-ray
diffraction and x-ray induced photoemission to study the evolution of the Ni
film and its interface with the substrate. The growth of a pseudomorphic film
with tetragonally strained face centered symmetry (fct) has been observed by
out-of-plane x-ray diffraction up to a maximum thickness of 10 Ni layers (two
of them intermixed with the substrate), where a new fcc bulk-like phase is
formed. After the formation of the bulk-like Ni domains, we observed the
pseudomorphic fct domains to disappear preserving the number of layers and
their spacing. The phase transition thus proceeds via lateral growth of the
bulk-like phase within the pseudomorphic one, i.e. the bulk-like fcc domains
penetrate down to the substrate when formed. This large depth of the walls
separating the domains of different phases is also indicated by the strong
increase of the intermixing at the substrate-film interface, which starts at
the onset of the transition and continues at even larger thickness. The
bulk-like fcc phase is also slightly strained; its relaxation towards the
orthomorphic lattice structure proceeds slowly with the film thickness, being
not yet completed at the maximum thickness presently studied of 30 Angstrom
(i.e. about 17 layers).Comment: 8 pages, 7 figure
A direct kinematical derivation of the relativistic Sagnac effect for light or matter beams
The Sagnac time delay and the corresponding Sagnac phase shift, for
relativistic matter and electromagnetic beams counter-propagating in a rotating
interferometer, are deduced on the ground of relativistic kinematics. This
purely kinematical approach allows to explain the ''universality'' of the
effect, namely the fact that the Sagnac time difference does not depend on the
physical nature of the interfering beams. The only prime requirement is that
the counter-propagating beams have the same velocity with respect to any
Einstein synchronized local co-moving inertial frame.Comment: 10 pages, 1 EPS figure, to appear in General Relativity and
Gravitatio
Reference frames and rigid motions in relativity: Applications
The concept of rigid reference frame and of constricted spatial metric, given
in the previous work [\emph{Class. Quantum Grav.} {\bf 21}, 3067,(2004)] are
here applied to some specific space-times: In particular, the rigid rotating
disc with constant angular velocity in Minkowski space-time is analyzed, a new
approach to the Ehrenfest paradox is given as well as a new explanation of the
Sagnac effect. Finally the anisotropy of the speed of light and its measurable
consequences in a reference frame co-moving with the Earth are discussed.Comment: 13 pages, 1 figur
Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach
We have performed multicanonical simulations to study the critical behavior
of the two-dimensional Ising model with dipole interactions. This study
concerns the thermodynamic phase transitions in the range of the interaction
\delta where the phase characterized by striped configurations of width h=1 is
observed. Controversial results obtained from local update algorithms have been
reported for this region, including the claimed existence of a second-order
phase transition line that becomes first order above a tricritical point
located somewhere between \delta=0.85 and 1. Our analysis relies on the complex
partition function zeros obtained with high statistics from multicanonical
simulations. Finite size scaling relations for the leading partition function
zeros yield critical exponents \nu that are clearly consistent with a single
second-order phase transition line, thus excluding such tricritical point in
that region of the phase diagram. This conclusion is further supported by
analysis of the specific heat and susceptibility of the orientational order
parameter.Comment: to appear in Phys. Rev.
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