Physics of Hexagonal Limit-Periodic Phases: Thermodynamics, Formation and Vibrational Modes

Limit-periodic (LP) structures exhibit a type of nonperiodic order yet to be found in a natural material. A recent result in tiling theory, however, has shown that LP order can spontaneously emerge in a two-dimensional (2D) lattice model with nearest-and next-nearest-neighbor interactions. In this dissertation, we explore the question of what types of interactions can lead to a LP state and address the issue of whether the formation of a LP structure in experiments is possible. We study emergence of LP order in three-dimensional (3D) tiling models and bring the subject into the physical realm by investigating systems with realistic Hamiltonians and low energy LP states. Finally, we present studies of the vibrational modes of a simple LP ball and spring model whose results indicate that LP materials would exhibit novel physical properties.

A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar (TS) monotile is known to have a LP ground state. The system reaches that state during a slow quench through an infinite sequence of phase transitions. Surprisingly, even when the strength of the next-nearest-neighbor interactions is zero, in which case there is a large degenerate class of both crystalline and LP ground states, a slow quench yields the LP state. The first study in this dissertation introduces 3D models closely related to the 2D models that exhibit LP phases. The particular 3D models were designed such that next-nearest-neighbor interactions of the TS type are implemented using only nearest-neighbor interactions. For one of the 3D models, we show that the phase transitions are first order, with equilibrium structures that can be more complex than in the 2D case.

In the second study, we investigate systems with physical Hamiltonians based on one of the 2D tiling models with the goal of stimulating attempts to create a LP structure in experiments. We explore physically realizable particle designs while being mindful of particular features that may make the assembly of a LP structure in an experimental system difficult. Through Monte Carlo (MC) simulations, we have found that one particle design in particular is a promising template for a physical particle; a 2D system of identical disks with embedded dipoles is observed to undergo the series of phase transitions which leads to the LP state.

LP structures are well ordered but nonperiodic, and hence have nontrivial vibrational modes. In the third section of this dissertation, we study a ball and spring model with a LP pattern of spring stiffnesses and identify a set of extended modes with arbitrarily low participation ratios, a situation that appears to be unique to LP systems. The balls that oscillate with large amplitude in these modes live on periodic nets with arbitrarily large lattice constants. By studying periodic approximants to the LP structure, we present numerical evidence for the existence of such modes, and we give a heuristic explanation of their structure.

Slavnov-Taylor identities for the 2+1 dimensional noncommutative CPN-1 model

In the context of the 1/N expansion, the validity of the Slavnov-Taylor identity relating three- and two-point functions for the 2 + 1-dimensional noncommutative CP(N-1) model is investigated, up to subleading 1/N order, in the Landau gauge.

Slavnov-Taylor identities for noncommutative QED(4)

In this work we present an analysis of the one-loop Slavnov-Taylor identities in noncommutative QED(4). The vectorial fermion-photon and the triple photon vertex functions were studied, with the conclusion that no anomalies arise.

Bias-corrected Pearson estimating functions for Taylor`s power law applied to benthic macrofauna data

Estimation of Taylor`s power law for species abundance data may be performed by linear regression of the log empirical variances on the log means, but this method suffers from a problem of bias for sparse data. We show that the bias may be reduced by using a bias-corrected Pearson estimating function. Furthermore, we investigate a more general regression model allowing for site-specific covariates. This method may be efficiently implemented using a Newton scoring algorithm, with standard errors calculated from the inverse Godambe information matrix. The method is applied to a set of biomass data for benthic macrofauna from two Danish estuaries. (C) 2011 Elsevier B.V. All rights reserved.

Flow and axial dispersion simulation for traveling axisymmetric Taylor vortices

Numerical experiments using a finite difference method were carried out to determine the motion of axisymmetric Taylor vortices for narrow-gap Taylor vortex flow. When a pressure gradient is imposed on the flow the vortices are observed to move with an axial speed of 1.16 +/- 0.005 times the mean axial flow velocity. The method of Brenner was used to calculate the long-time axial spread of material in the flow. For flows where there is no pressure gradient, the axial dispersion scales with the square root of the molecular diffusion, in agreement with the results of Rosen-bluth et al. for high Peclet number dispersion in spatially periodic flows with a roll structure. When a pressure gradient is imposed the dispersion increases by an amount approximately equal to 6.5 x 10(-4) (W) over bar(2)d(2)/D-m, where (W) over bar is the average axial velocity in the annulus, analogous to Taylor dispersion for laminar flow in an empty tube.

Implicit Taylor methods for stiff stochastic differential equations

In this paper we discuss implicit Taylor methods for stiff Ito stochastic differential equations. Based on the relationship between Ito stochastic integrals and backward stochastic integrals, we introduce three implicit Taylor methods: the implicit Euler-Taylor method with strong order 0.5, the implicit Milstein-Taylor method with strong order 1.0 and the implicit Taylor method with strong order 1.5. The mean-square stability properties of the implicit Euler-Taylor and Milstein-Taylor methods are much better than those of the corresponding semi-implicit Euler and Milstein methods and these two implicit methods can be used to solve stochastic differential equations which are stiff in both the deterministic and the stochastic components. Numerical results are reported to show the convergence properties and the stability properties of these three implicit Taylor methods. The stability analysis and numerical results show that the implicit Euler-Taylor and Milstein-Taylor methods are very promising methods for stiff stochastic differential equations.

A regra de Taylor e a política monetário brasileira : relações de longo e curto prazo

Tem sido publicado e discutido cada vez mais o papel dos Bancos Centrais no sentido de minimizarem os custos da inflação para o conjunto da sociedade. O objetivo deste trabalho é investigar se o Banco Central do Brasil implementou no período Janeiro de 2005 a Julho de 2012 uma regra de política monetária consistente com a estabilidade de preços, a partir de uma literatura iniciada com o trabalho seminal de Taylor (1993). No primeiro Capítulo, será exposto o conceito de Regras de Política Monetária, iniciando pela Regra de Taylor original e chegando às suas versões atuais. No segundo, que será dividido em dois tópicos, será exibida a literatura empírica sobre o assunto: no primeiro tópico, serão apresentadas as evidências empíricas existentes para as experiências internacionais e, no segundo tópico, para a experiência brasileira. No terceiro Capítulo, por sua vez, será feita uma aplicação econométrica sobre a experiência brasileira recente, por meio de estimações de regressões de Mínimos Quadrados Ordinários (MQO) para a análise de curto prazo e de Cointegração na análise de longo prazo, através da abordagem de Johansen (1991). Além disto, os resultados encontrados serão interpretados à luz da teoria e comparados com as evidências existentes e apresentadas no Capítulo anterior. Grosso modo, os resultados empíricos apontam para o fato de que embora no curto prazo a Regra de Taylor expandida possa ser usada para interpretar as relações entre taxa Selic e inflação observada, no longo prazo há relações estruturais que só podem ser explicadas por elementos teóricos adicionais, tais como os presentes na Curva de Phillips, Curva IS e na abordagem da Paridade Descoberta da Taxa de Juros. Ademais, o trabalho encontra um grau de inércia da taxa Selic, no curto prazo, superior ao observado em trabalhos anteriores, sugerindo uma elevação do conservadorismo do BCB nos últimos anos.

A new skink from Mexico, by Edward H. Taylor.

v.20:no.10(1935)

Edward H. Taylor : recollections of an herpetologist / Edward H. Taylor ... [et al.].

no.4 (1975)

The Taylor Principle and (In-) Determinacy in a New Keynesian Model with hiring Frictions and Skill Loss

We introduce duration dependent skill decay among the unemployed into a New-Keynesian model with hiring frictions developed by Blanchard/Gali (2008). If the central bank responds only to (current, lagged or expected future) inflation and quarterly skill decay is above a threshold level, determinacy requires a coefficient on inflation smaller than one. The threshold level is plausible with little steady-state hiring and firing ("Continental European Calibration") but implausibly high in the opposite case ("American calibration"). Neither interest rate smoothing nor responding to the output gap helps to restore determinacy if skill decay exceeds the threshold level. However, a modest response to unemployment guarantees determinacy. Moreover, under indeterminacy, both an adverse sunspot shock and an adverse technology shock increase unemployment extremely persistently.

¿Charles Taylor en Operación Triunfo?. Análisis de la propuesta filosófico-moral de Taylor -en especial su ideal de autenticidad- y de su posible aplicación al reality show español

Aquest Treball Final de Carrera de la Llicenciatura de Periodisme de la Universitat Abat Oliba CEU té un doble objectiu: a)dur a terme una aproximació teòrico-filosòfica a la proposta cultural de Charles Taylor, i així aprofundir en l'examen dels elements centrals de la seva bibliografia -sobre tot en els pressupòsits antropològics i socials més destacats, així com també en el seu peculiar "ideal d'autenticitat"-; i b)projectar els dits fonaments teòrics en un apartat de naturalesa pràctica, com a forma de concretar la proposta del pensador nord-americà en algun dels fenòmens més interessants de la realitat mediàtica i cultural espanyola. Així, ens vam decidir per un dels programes televisius que més èxit ha tingut al nostre país als darrers temps: Operación Triunfo, donat que en tractar-se d'un concurs vinculat als somnis i a les aspiracions més profundes dels individus que hi participen, té una relació molt més estreta amb l'ideal d'autenticitat. A més, la justificació fonamental d'aquest estudi es basa en el fet que l'aportació filosòfica de Taylor és molt profitosa respecte a la situació cultural actual pels següents dos motius: a) la seva obra presenta una veritable i complerta proposta en positiu, basada en raons i arguments molt clars, que a més porten una esperança de recuperació a la societat occidental; i b) la seva crítica a la Modernitat no és totalment destructiva sinó que més aviat es basa en una comprensió correcta i una recuperació adequada del sentit originari d'algunes de les fonts morals que defineixen la nostra cultura.