3,354 research outputs found
Computer program to determine the irrotational nozzle admittance
Irrotational nozzle admittance is the boundary condition that must be satisfied by combustor flow oscillations at nozzle entrance. Defined as the ratio of axial velocity perturbation to the pressure perturbation at nozzle entrance, nozzle admittance can also be used to determine whether wave motion in nozzle under consideration adds or removes energy from combustor oscillations
Development of an analytical technique for the optimization of jet engine and duct acoustic liners
A special integral representation of the external solutions of the Helmholtz equation is described. The analytical technique developed for the generation of the optimum acoustic admittance for an arbitrary axisymmetric body is also presented along with some numerical procedures and some preliminary results for a straight duct
Development of an analytical technique for the optimization of jet engine and duct acoustic liners
A new method was developed for the calculation of optimum constant admittance solutions for the minimization of the sound radiated from an arbitrary axisymmetric body. This method utilizes both the integral equation technique used in the calculation of the optimum non-constant admittance liners and the independent solution generated as a by product of these calculations. The results generated by both these methods are presented for three duct geometries: (1) a straight duct; (2) the QCSEE inlet; and (3) the QCSEE inlet less its centerbody
Critical Dynamics in Glassy Systems
Critical dynamics in various glass models including those described by mode
coupling theory is described by scale-invariant dynamical equations with a
single non-universal quantity, i.e. the so-called parameter exponent that
determines all the dynamical critical exponents. We show that these equations
follow from the structure of the static replicated Gibbs free energy near the
critical point. In particular the exponent parameter is given by the ratio
between two cubic proper vertexes that can be expressed as six-point cumulants
measured in a purely static framework.Comment: 24 pages, accepted for publication on PRE. Discussion of the
connection with MCT added in the Conclusion
Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
Nonequilibrium dynamics in quantum field theory has been studied extensively
using truncations of the 2PI effective action. Both 1/N and loop expansions
beyond leading order show remarkable improvement when compared to mean-field
approximations. However, in truncations used so far, only the leading-order
parts of the self energy responsible for memory loss, damping and equilibration
are included, which makes it difficult to discuss convergence systematically.
For that reason we derive the real and causal evolution equations for an O(N)
model to next-to-next-to-leading order in the 2PI-1/N expansion. Due to the
appearance of internal vertices the resulting equations appear intractable for
a full-fledged 3+1 dimensional field theory. Instead, we solve the closely
related three-loop approximation in the auxiliary-field formalism numerically
in 0+1 dimensions (quantum mechanics) and compare to previous approximations
and the exact numerical solution of the Schroedinger equation.Comment: 29 pages, minor changes, references added; to appear in PR
Symmetry Principle Preserving and Infinity Free Regularization and renormalization of quantum field theories and the mass gap
Through defining irreducible loop integrals (ILIs), a set of consistency
conditions for the regularized (quadratically and logarithmically) divergent
ILIs are obtained to maintain the generalized Ward identities of gauge
invariance in non-Abelian gauge theories. Overlapping UV divergences are
explicitly shown to be factorizable in the ILIs and be harmless via suitable
subtractions. A new regularization and renormalization method is presented in
the initial space-time dimension of the theory. The procedure respects
unitarity and causality. Of interest, the method leads to an infinity free
renormalization and meanwhile maintains the symmetry principles of the original
theory except the intrinsic mass scale caused conformal scaling symmetry
breaking and the anomaly induced symmetry breaking. Quantum field theories
(QFTs) regularized through the new method are well defined and governed by a
physically meaningful characteristic energy scale (CES) and a physically
interesting sliding energy scale (SES) which can run from to a dynamically generated mass gap or to in the
absence of mass gap and infrared (IR) problem. It is strongly indicated that
the conformal scaling symmetry and its breaking mechanism play an important
role for understanding the mass gap and quark confinement.Comment: 59 pages, Revtex, 4 figures, 1 table, Erratum added, published
versio
Absence of vortex condensation in a two dimensional fermionic XY model
Motivated by a puzzle in the study of two dimensional lattice Quantum
Electrodynamics with staggered fermions, we construct a two dimensional
fermionic model with a global U(1) symmetry. Our model can be mapped into a
model of closed packed dimers and plaquettes. Although the model has the same
symmetries as the XY model, we show numerically that the model lacks the well
known Kosterlitz-Thouless phase transition. The model is always in the gapless
phase showing the absence of a phase with vortex condensation. In other words
the low energy physics is described by a non-compact U(1) field theory. We show
that by introducing an even number of layers one can introduce vortex
condensation within the model and thus also induce a KT transition.Comment: 5 pages, 5 figure
The increment contract : a potential means of increasing timber production from nonindustrial private forests in the central Appalachians
Superfluidity and magnetism in multicomponent ultracold fermions
We study the interplay between superfluidity and magnetism in a
multicomponent gas of ultracold fermions. Ward-Takahashi identities constrain
possible mean-field states describing order parameters for both pairing and
magnetization. The structure of global phase diagrams arises from competition
among these states as functions of anisotropies in chemical potential, density,
or interactions. They exhibit first and second order phase transition as well
as multicritical points, metastability regions, and phase separation. We
comment on experimental signatures in ultracold atoms.Comment: 4 pages, 3 figure
Dynamical Linked Cluster Expansions: A Novel Expansion Scheme for Point-Link-Point-Interactions
Dynamical linked cluster expansions are linked cluster expansions with
hopping parameter terms endowed with their own dynamics. This amounts to a
generalization from 2-point to point-link-point interactions. We develop an
associated graph theory with a generalized notion of connectivity and describe
an algorithmic generation of the new multiple-line graphs. We indicate physical
applications to spin glasses, partially annealed neural networks and SU(N)
gauge Higgs systems. In particular the new expansion technique provides the
possibility of avoiding the replica-trick in spin glasses. We consider
variational estimates for the SU(2) Higgs model of the electroweak phase
transition. The results for the transition line, obtained by dynamical linked
cluster expansions, agree quite well with corresponding high precision Monte
Carlo results.Comment: 41 pages, latex2e, 10 postscript figure
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