303 research outputs found
Quantum Breaking Time Scaling in the Superdiffusive Dynamics
We show that the breaking time of quantum-classical correspondence depends on
the type of kinetics and the dominant origin of stickiness. For sticky dynamics
of quantum kicked rotor, when the hierarchical set of islands corresponds to
the accelerator mode, we demonstrate by simulation that the breaking time
scales as with the transport exponent
that corresponds to superdiffusive dynamics. We discuss also other
possibilities for the breaking time scaling and transition to the logarithmic
one with respect to
Modelling vertical uniform contact stress of heavy vehicle tyres
The field of tyre dynamics is a relatively new, but highly complex field of engineering. The testing and modelling of various tyres in order to determine stress distributions of tyres on the road surface, under varying conditions, remains a relevant and important field of study. The information from these studies are essential to understanding vehicle dynamics as the small contact patches between the vehicle tyres and road surface is the only area of interaction between the entire vehicle and the road surface. The contact stress data is also essential in the calculation of road wear characteristics of tyres and vehicles. Different models exist to estimate the contact stress between the tyre and road surface, but most contain assumptions that limit their applicability to a small set of tyres under very specific load cases. This paper considers the development of mathematical models that are used to estimate the vertical uniform contact stress for three types of heavy vehicle tyres. The three tyres studied are 315/80 R22.5, 385/65 R22.5 and 425/65 R22.5 tyres. The models have been developed through the use of tyre testing data obtained from the Stress-In-Motion (SIM) system. It was found that 4th order polynomials provided the most accurate stress results over the selected operating range of 25 kN to 45 kN which is the typical load range for heavy vehicle tyres due to legal axle load limits. The polynomial formulas require only the tyre inflation pressure and vertical tyre load as inputs, in order to estimate the vertical uniform contact stress. The models developed correlate well with the test data and showing an average absolute error of less than 2 %.Paper presented at the 35th Annual Southern African Transport Conference 4-7 July 2016 "Transport ? a catalyst for socio-economic
growth and development opportunities to improve quality of life", CSIR International Convention Centre, Pretoria, South Africa.The Minister of Transport, South AfricaTransportation Research Board of the US
On k-Column Sparse Packing Programs
We consider the class of packing integer programs (PIPs) that are column
sparse, i.e. there is a specified upper bound k on the number of constraints
that each variable appears in. We give an (ek+o(k))-approximation algorithm for
k-column sparse PIPs, improving on recent results of and
. We also show that the integrality gap of our linear programming
relaxation is at least 2k-1; it is known that k-column sparse PIPs are
-hard to approximate. We also extend our result (at the loss
of a small constant factor) to the more general case of maximizing a submodular
objective over k-column sparse packing constraints.Comment: 19 pages, v3: additional detail
Quantum affine Cartan matrices, Poincare series of binary polyhedral groups, and reflection representations
We first review some invariant theoretic results about the finite subgroups
of SU(2) in a quick algebraic way by using the McKay correspondence and quantum
affine Cartan matrices. By the way it turns out that some parameters
(a,b,h;p,q,r) that one usually associates with such a group and hence with a
simply-laced Coxeter-Dynkin diagram have a meaningful definition for the
non-simply-laced diagrams, too, and as a byproduct we extend Saito's formula
for the determinant of the Cartan matrix to all cases. Returning to invariant
theory we show that for each irreducible representation i of a binary
tetrahedral, octahedral, or icosahedral group one can find a homomorphism into
a finite complex reflection group whose defining reflection representation
restricts to i.Comment: 19 page
Two-particle localization and antiresonance in disordered spin and qubit chains
We show that, in a system with defects, two-particle states may experience
destructive quantum interference, or antiresonance. It prevents an excitation
localized on a defect from decaying even where the decay is allowed by energy
conservation. The system studied is a qubit chain or an equivalent spin chain
with an anisotropic () exchange coupling in a magnetic field. The chain
has a defect with an excess on-site energy. It corresponds to a qubit with the
level spacing different from other qubits. We show that, because of the
interaction between excitations, a single defect may lead to multiple localized
states. The energy spectra and localization lengths are found for
two-excitation states. The localization of excitations facilitates the
operation of a quantum computer. Analytical results for strongly anisotropic
coupling are confirmed by numerical studies.Comment: Updated version, 13 pages, 5 figures To appear in Phys. Rev. B (2003
entropy of M5 branes from dielectric effect
We observe that the entropy behavior of near-extermal M5 branes can be
reproduced from SYM side with the role of Myers' terms. We start by
generalizing the Klebanov-Tseytlin (KT) supergravity solution that displays the
entropy behavior. The new feature of the general solution is visibility
of the "internal" degrees of the M5 branes, i.e., the M0 branes and the M2
branes. With the rationale provided by the supergravity analysis, we consider a
D0 brane quantum mechanical setup with Myers' terms. Using localization
technique, we show that the leading behavior of the free energy comes
from the "classical contribution" with the rest sub-leading.Comment: latex, 21 pages, missing figure adde
Characteristics of Quantum-Classical Correspondence for Two Interacting Spins
The conditions of quantum-classical correspondence for a system of two
interacting spins are investigated. Differences between quantum expectation
values and classical Liouville averages are examined for both regular and
chaotic dynamics well beyond the short-time regime of narrow states. We find
that quantum-classical differences initially grow exponentially with a
characteristic exponent consistently larger than the largest Lyapunov exponent.
We provide numerical evidence that the time of the break between the quantum
and classical predictions scales as log(), where is
a characteristic system action. However, this log break-time rule applies only
while the quantum-classical deviations are smaller than order hbar. We find
that the quantum observables remain well approximated by classical Liouville
averages over long times even for the chaotic motions of a few
degree-of-freedom system. To obtain this correspondence it is not necessary to
introduce the decoherence effects of a many degree-of-freedom environment.Comment: New introduction, accepted in Phys Rev A (May 2001 issue), 12 latex
figures, 3 ps figure
Nonlinearity effects in the kicked oscillator
The quantum kicked oscillator is known to display a remarkable richness of
dynamical behaviour, from ballistic spreading to dynamical localization. Here
we investigate the effects of a Gross Pitaevskii nonlinearity on quantum
motion, and provide evidence that the qualitative features depend strongly on
the parameters of the system.Comment: 4 pages, 5 figure
Chaos and Quantum-Classical Correspondence via Phase Space Distribution Functions
Quantum-classical correspondence in conservative chaotic Hamiltonian systems
is examined using a uniform structure measure for quantal and classical phase
space distribution functions. The similarities and differences between quantum
and classical time-evolving distribution functions are exposed by both
analytical and numerical means. The quantum-classical correspondence of
low-order statistical moments is also studied. The results shed considerable
light on quantum-classical correspondence.Comment: 16 pages, 5 figures, to appear in Physical Review
Three-Nucleon Photodisintegration of 3He
The three-nucleon photodisintegration of 3He has been calculated in the whole
phase space using consistent Faddeev equations for the three-nucleon bound and
scattering states. Modern nucleon-nucleon and 3N forces have been applied as
well as different approaches to nuclear currents. Phase space regions are
localized where 3N force effects are especially large. In addition
semi-exclusive cross sections for 3He(gamma,N) have been predicted which carry
interesting peak structures. Finally some data for the exclusive 3N breakup
process of 3He and its total breakup cross section have been compared to
theory.Comment: 28 pages, 6 png figures, 11 ps figures, modified version with changed
figures, conclusions unchanged, to appear in Phys.Rev.
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