37 research outputs found
Surface solitons in quasiperiodic nonlinear photonic lattices
We study discrete surface solitons in semi-infinite, one-dimensional,
nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and
Aubry-Andr\'e types, and explore different families of localized surface modes,
as a function of optical power content (`nonlinearity') and quasiperiodic
strength (`disorder'). We find a strong asymmetry in the power content of the
mode as a function of the propagation constant, between the cases of focussing
and defocussing nonlinearity, in both models. We also examine the dynamical
evolution of a completely-localized initial excitation at the array surface. We
find that in general, for a given optical power, a smaller quasiperiodic
strength is required to effect localization at the surface than in the bulk.
Also, for fixed quasiperiodic strength, a smaller optical power is needed to
localize the excitation at the edge than inside the bulk.Comment: 8 pages, 7 figures, submitted for publicatio
Inhomogeneous superconductivity and the "pseudogap state of novel superconductors
Novel superconducting compounds such as the high Tc oxides are intrinsically
inhomogeneous systems. An inhomogeneous structure is created by doping and the
statistical nature of the distribution of dopants. Consequently, the critical
temperature is spatially dependent: Tc = Tc (r).Comment: 63 pages text, 13 figures and 1 tabl
Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
We derive two-loop renormalization-group equations for the half-filled
one-dimensional Hubbard chains coupled by the interchain hopping. Our
renormalization-group scheme for the quasi-one-dimensional electron system is a
natural extension of that for the purely one-dimensional systems in the sense
that transverse-momentum dependences are introduced in the g-ological coupling
constants and we regard the transverse momentum as a patch index. We develop
symmetry arguments for the particle-hole symmetric half-filled Hubbard model
and obtain constraints on the g-ological coupling constants by which resultant
renormalization equations are given in a compact form. By solving the
renormalization-group equations numerically, we estimate the magnitude of
excitation gaps and clarify that the charge gap is suppressed due to the
interchain hopping but is always finite even for the relevant interchain
hopping. To show the validity of the present analysis, we also apply this to
the two-leg ladder system. By utilizing the field-theoretical bosonization and
fermionization method, we derive low-energy effective theory and analyze the
magnitude of all the excitation gaps in detail. It is shown that the low-energy
excitations in the two-leg Hubbard ladder have SO(3) x SO(3) x U(1) symmetry
when the interchain hopping exceeds the magnitude of the charge gap.Comment: 18 pages, 9 figures; Two appendices and one figure adde
Growth Kinetics in Systems with Local Symmetry
The phase transition kinetics of Ising gauge models are investigated. Despite
the absence of a local order parameter, relevant topological excitations that
control the ordering kinetics can be identified. Dynamical scaling holds in the
approach to equilibrium, and the growth of typical length scale is
characteristic of a new universality class with . We suggest that the asymptotic kinetics of the 2D Ising gauge
model is dual to that of the 2D annihilating random walks, a process also known
as the diffusion-reaction .Comment: 10 pages in Tex, 2 Postscript figures appended, NSF-ITP-93-4
Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps
We calculate the survival probability P_S(t) up to time t of a tracer
particle moving along a deterministic trajectory in a continuous d-dimensional
space in the presence of diffusing but mutually noninteracting traps. In
particular, for a tracer particle moving ballistically with a constant velocity
c, we obtain an exact expression for P_S(t), valid for all t, for d<2. For d
\geq 2, we obtain the leading asymptotic behavior of P_S(t) for large t. In all
cases, P_S(t) decays exponentially for large t, P_S(t) \sim \exp(-\theta t). We
provide an explicit exact expression for the exponent \theta in dimensions d
\leq 2, and for the physically relevant case, d=3, as a function of the system
parameters.Comment: RevTeX, 4 page
Superconductivity from correlated hopping
We consider a chain described by a next-nearest-neighbor hopping combined
with a nearest-neighbor spin flip. In two dimensions this three-body term
arises from a mapping of the three-band Hubbard model for CuO planes to a
generalized model and for large O-O hopping favors resonance-valence-bond
superconductivity of predominantly -wave symmetry. Solving the ground state
and low-energy excitations by analytical and numerical methods we find that the
chain is a Luther-Emery liquid with correlation exponent , where is the particle density.Comment: 10 pages, RevTeX 3.0 + 2 PostScript figs. Accepted for publication in
Phys.Rev.
Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model
We study the spin-gap phase in the one-dimensional t-J model, assuming that
it is caused by the backward scattering process. Based on the renormalization
group analysis and symmetry, we can determine the transition point between the
Tomonaga-Luttinger liquid and the spin-gap phases, by the level crossing of the
singlet and the triplet excitations. In contrast to the previous works, the
obtained spin-gap region is unexpectedly large.
We also check that the universality class of the transition belongs to the
SU(2) Wess-Zumino-Witten model.Comment: 4 pages(RevTeX), 5 figures(EPS), TITCMT-97-10, to appear in Phys.
Rev. Let
Survival of Chondrocytes in Rabbit Septal Cartilage After Electromechanical Reshaping
Electromechanical reshaping (EMR) has been recently described as an alternative method for reshaping facial cartilage without the need for incisions or sutures. This study focuses on determining the short- and long-term viability of chondrocytes following EMR in cartilage grafts maintained in tissue culture. Flat rabbit nasal septal cartilage specimens were bent into semi-cylindrical shapes by an aluminum jig while a constant electric voltage was applied across the concave and convex surfaces. After EMR, specimens were maintained in culture media for 64 days. Over this time period, specimens were serially biopsied and then stained with a fluorescent live–dead assay system and imaged using laser scanning confocal microscopy. In addition, the fraction of viable chondrocytes was measured, correlated with voltage, voltage application time, electric field configuration, and examined serially. The fraction of viable chondrocytes decreased with voltage and application time. High local electric field intensity and proximity to the positive electrode also focally reduced chondrocyte viability. The density of viable chondrocytes decreased over time and reached a steady state after 2–4 weeks. Viable cells were concentrated within the central region of the specimen. Approximately 20% of original chondrocytes remained viable after reshaping with optimal voltage and application time parameters and compared favorably with conventional surgical shape change techniques such as morselization
Space-and time-resolved diffusion-limited binary reaction kinetics in capillaries: experimental observation of segregation, anomalous exponents, and depletion zone
An experimental investigation of one-dimensional, diffusion-limited A+B→C chemical reactions is reported. The persistence of reactant segregation and the formation of a depletion zone is observed and expressed in terms of the universal time exponents: α (motion of the boundary zone), β (width of instantaneous product formation zone), γ (rate of instantaneous local formation of product), δ (rate of instantaneous global formation of product), etc. There is good agreement with the recently predicted and/or simulated values: α =1/2, β =1/6, γ =2/3, δ =1/2, in contrast to classical predictions ( α =0, β =1/2, γ =0, δ =−1/2). Furthermore, classically the segregation would not be preserved and there would be no formation of a depletion zone and no motion (just dissipation) of the reaction zone. We also discuss the relations to electrode oxidation-reduction reactions, i.e., A+C→C where C is a catalyst, electrode, or “trap.”Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45162/1/10955_2005_Article_BF01049588.pd