3,030 research outputs found
Transport in Almost Integrable Models: Perturbed Heisenberg Chains
The heat conductivity kappa(T) of integrable models, like the one-dimensional
spin-1/2 nearest-neighbor Heisenberg model, is infinite even at finite
temperatures as a consequence of the conservation laws associated with
integrability. Small perturbations lead to finite but large transport
coefficients which we calculate perturbatively using exact diagonalization and
moment expansions. We show that there are two different classes of
perturbations. While an interchain coupling of strength J_perp leads to
kappa(T) propto 1/J_perp^2 as expected from simple golden-rule arguments, we
obtain a much larger kappa(T) propto 1/J'^4 for a weak next-nearest neighbor
interaction J'. This can be explained by a new approximate conservation law of
the J-J' Heisenberg chain.Comment: 4 pages, several minor modifications, title change
Predation Risk and the Importance of Cover for Juvenile Rainbow Trout in Lentic Systems
Juvenile rainbow trout Oncorhynchus mykiss stocked in midelevation reservoirs in Utah inhabit shallow nearshore areas and are vulnerable to predation from piscivorous fish and birds. We determined the use and importance of nearshore habitats by (1) measuring habitat selection by, prey availability to, and feeding of juvenile rainbow trout in two reservoirs with populations of predators, and (2) measuring survival and growth rates in the presence and absence of cover in a pond experiment where adult brown trout Salmo trutta were predators. In the reservoirs juvenile rainbow trout (60–120 mm standard length) were abundant in complex inshore habitats but avoided simple habitats such as sand and gravel during the day. At night, however, juvenile rainbow trout in both reservoirs were observed in more exposed areas, and they rested on the bottom. Measurements of gut fullness indicated that juvenile rainbow trout fed actively on large Daphnia spp. during the day but little at night. Because large daphnia were usually more abundant offshore than inshore in both reservoirs, selection of inshore cover is believed to be primarily a response to greater predation risk offshore. In the pond experiment, the presence of brown trout significantly increased mortality of juvenile rainbow trout, decreased their growth rates, and caused them to avoid open-water areas. The presence of cover significantly decreased predation rates but did not affect growth of the juvenile rainbow trout. Fisheries managers should consider augmenting cover in reservoirs and lakes where juvenile trout are stocked to minimize losses of trout to predators
A new web-based genomics resource for bioinformatics analysis of Rhipicephalus (Boophilus) microplus: CattleTickBase
No abstract availabl
Aubry transition studied by direct evaluation of the modulation functions of infinite incommensurate systems
Incommensurate structures can be described by the Frenkel Kontorova model.
Aubry has shown that, at a critical value K_c of the coupling of the harmonic
chain to an incommensurate periodic potential, the system displays the
analyticity breaking transition between a sliding and pinned state. The ground
state equations coincide with the standard map in non-linear dynamics, with
smooth or chaotic orbits below and above K_c respectively. For the standard
map, Greene and MacKay have calculated the value K_c=.971635. Conversely,
evaluations based on the analyticity breaking of the modulation function have
been performed for high commensurate approximants. Here we show how the
modulation function of the infinite system can be calculated without using
approximants but by Taylor expansions of increasing order. This approach leads
to a value K_c'=.97978, implying the existence of a golden invariant circle up
to K_c' > K_c.Comment: 7 pages, 5 figures, file 'epl.cls' necessary for compilation
provided; Revised version, accepted for publication in Europhysics Letter
Shape optimisation using Computational Fluid Dynamics and Evolutionary Algorithms
This is the author accepted manuscript.Optimisation of designs using Computational Fluid Dynamics (CFD) are frequently performed across many fields of
research, such as the optimisation of an aircraft wing to reduce drag, or to increase the efficiency of a heat exchanger.
General optimisation strategies involves altering design variables with a view to improve appropriate objective function(s).
Often the objective function(s) are non-linear and multi-modal, and thus polynomial time algorithms for solving such
problems may not be available. In such cases, applying Evolutionary Algorithms (EAs - a class of stochastic global
optimisation techniques inspired from natural evolution) may locate good solutions within a practical time frame. The
traditional CFD design optimisation process is often based on a ‘trial-and-error type approach. Starting from an initial
geometry, Computational Aided Design changes are introduced manually based on results from a limited number of
design iterations and CFD analyses. The process is usually complex, time-consuming and relies heavily on engineering
experience, thus making the overall design procedure inconsistent, i.e. different ‘best’ solutions are obtained from different
designers. [...]This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant (reference number: EP/M017915/1) for the University of Exeter’s College of Engineering, Mathematics, and Physical Sciences
Automatic shape optimisation of the turbine-99 draft tube
This is the author accepted manuscript.INTRODUCTION
The performance of a hydraulic reaction turbine is significantly affected by the efficiency of its draft tube. Factors which
impede the tube’s performance include the geometrical shape (profile), and velocity distribution at the inflow. So far, the
design of draft tubes has been improved through experimental observations resulting in empirical formulae or ‘rules of
thumb’. The use of Computational Fluid Dynamics (CFD) in this design process has only been a recent addition due to its
robustness and cost-effectivenesses with increasing availability to computational power. The flexibility of CFD, allowing
for comprehensive analysis of complex profiles, is especially appealing for optimising the design. Hence, there is a need
for developing an accurate and reliable CFD approach together with an efficient optimisation strategy.
Flows through a turbine draft tube are characterised as turbulent with a range of flow phenomena, e.g. unsteadiness, flow
separation, and swirling flow. With the aim of improving the techniques for analysing such flows, the turbomachinery
community have proposed a standard test case in the form of the Turbine-99 draft tube [1]. Along with this standard
geometry, with the aim of simulating the swirling inflow, an additional runner proposed by Cervantes [2] is included in
the present work. The draft tube geometry is shown in Fig.1. The purpose of this abstract is to outline the framework
developed to achieve the automated shape optimisation of this draft tube.This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant (reference number: EP/M017915/1) for the University of Exeters College of Engineering, Mathematics, and Physical Sciences
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