263 research outputs found
Elastic response of a nematic liquid crystal to an immersed nanowire
We study the immersion of a ferromagnetic nanowire within a nematic liquid
crystal using a lattice Boltzmann algorithm to solve the full three-dimensional
equations of hydrodynamics. We present an algorithm for including a moving
boundary, to simulate a nanowire, in a lattice Boltzmann simulation. The
nematic imposes a torque on a wire that increases linearly with the angle
between the wire and the equilibrium direction of the director field. By
rotation of these nanowires, one can determine the elastic constants of the
nematic.Comment: 10 pages, 8 figure
Stabilising the Blue Phases
We present an investigation of the phase diagram of cholesteric liquid
crystals within the framework of Landau - de Gennes theory. The free energy is
modified to incorporate all three Frank elastic constants and to allow for a
temperature dependent pitch in the cholesteric phase. It is found that the
region of stability of the cubic blue phases depends significantly on the value
of the elastic constants, being reduced when the bend elastic constant is
larger than splay and when twist is smaller than the other two. Most
dramatically we find a large increase in the region of stability of blue phase
I, and a qualitative change in the phase diagram, in a system where the
cholesteric phase displays helix inversion.Comment: 15 pages, 6 figure
Rheology of distorted nematic liquid crystals
We use lattice Boltzmann simulations of the Beris--Edwards formulation of
nematodynamics to probe the response of a nematic liquid crystal with
conflicting anchoring at the boundaries under shear and Poiseuille flow. The
geometry we focus on is that of the hybrid aligned nematic (HAN) cell, common
in devices. In the nematic phase, backflow effects resulting from the elastic
distortion in the director field render the velocity profile strongly
non-Newtonian and asymmetric. As the transition to the isotropic phase is
approached, these effects become progressively weaker. If the fluid is heated
just above the transition point, however, another asymmetry appears, in the
dynamics of shear band formation.Comment: 7 pages, 4 figures. Accepted for publication in Europhys. Let
Drag Reduction by Polymers in Wall Bounded Turbulence
We address the mechanism of drag reduction by polymers in turbulent wall
bounded flows. On the basis of the equations of fluid mechanics we present a
quantitative derivation of the "maximum drag reduction (MDR) asymptote" which
is the maximum drag reduction attained by polymers. Based on Newtonian
information only we prove the existence of drag reduction, and with one
experimental parameter we reach a quantitative agreement with the experimental
measurements.Comment: 4 pages, 1 fig., included, PRL, submitte
The geometry and thermodynamics of dissipative quantum systems
Dirac's method of classical analogy is employed to incorporate quantum
degrees of freedom into modern nonequilibrium thermodynamics. The proposed
formulation of dissipative quantum mechanics builds entirely upon the geometric
structures implied by commutators and canonical correlations. A lucid
formulation of a nonlinear quantum master equation follows from the
thermodynamic structure. Complex classical environments with internal structure
can be handled readily.Comment: 4 pages, definitely no figure
Perioperative anaemia management: consensus statement on the role of intravenous iron
A multidisciplinary panel of physicians was convened by Network for Advancement of Transfusion Alternatives to review the evidence on the efficacy and safety of i.v. iron administration to increase haemoglobin levels and reduce blood transfusion in patients undergoing surgery, and to develop a consensus statement on perioperative use of i.v. iron as a transfusion alternative. After conducting a systematic literature search to identify the relevant studies, critical evaluation of the evidence was performed and recommendations formulated using the Grades of Recommendation Assessment, Development and Evaluation Working Group methodology. Two randomized controlled trials (RCTs) and six observational studies in orthopaedic and cardiac surgery were evaluated. Overall, there was little benefit found for the use of i.v. iron. At best, i.v. iron supplementation was found to reduce the proportion of patients requiring transfusions and the number of transfused units in observational studies in orthopaedic surgery but not in cardiac surgery. The two RCTs had serious limitations and the six observational limited by the selection of the control groups. Thus, the quality of the available evidence is considered moderate to very low. For patients undergoing orthopaedic surgery and expected to develop severe postoperative anaemia, the panel suggests i.v. iron administration during the perioperative period (weak recommendation based on moderate/low-quality evidence). For all other types of surgery, no evidence-based recommendation can be made. The panel recommends that large, prospective, RCTs be undertaken to evaluate the efficacy and safety of i.v. iron administration in surgical patients. The implementation of some general good practice points is suggeste
Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of
an active nematic liquid crystal sandwiched between confining walls with
various anchoring conditions. We confirm the existence of a transition between
a passive phase and an active phase, in which there is spontaneous flow in the
steady state. This transition is attained for sufficiently ``extensile'' rods,
in the case of flow-aligning liquid crystals, and for sufficiently
``contractile'' ones for flow-tumbling materials. In a quasi-1D geometry, deep
in the active phase of flow-aligning materials, our simulations give evidence
of hysteresis and history-dependent steady states, as well as of spontaneous
banded flow. Flow-tumbling materials, in contrast, re-arrange themselves so
that only the two boundary layers flow in steady state. Two-dimensional
simulations, with periodic boundary conditions, show additional instabilities,
with the spontaneous flow appearing as patterns made up of ``convection
rolls''. These results demonstrate a remarkable richness (including dependence
on anchoring conditions) in the steady-state phase behaviour of active
materials, even in the absence of external forcing; they have no counterpart
for passive nematics. Our HLB methodology, which combines lattice Boltzmann for
momentum transport with a finite difference scheme for the order parameter
dynamics, offers a robust and efficient method for probing the complex
hydrodynamic behaviour of active nematics.Comment: 18 eps figures, accepted for publication in Phys. Rev.
Lattice Boltzmann Simulations of Liquid Crystal Hydrodynamics
We describe a lattice Boltzmann algorithm to simulate liquid crystal
hydrodynamics. The equations of motion are written in terms of a tensor order
parameter. This allows both the isotropic and the nematic phases to be
considered. Backflow effects and the hydrodynamics of topological defects are
naturally included in the simulations, as are viscoelastic properties such as
shear-thinning and shear-banding.Comment: 14 pages, 5 figures, Revte
Interfacial motion in flexo- and order-electric switching between nematic filled states
We consider a nematic liquid crystal, in coexistence with its isotropic
phase, in contact with a substrate patterned with rectangular grooves. In such
a system, the nematic phase may fill the grooves without the occurrence of
complete wetting. There may exist multiple (meta)stable filled states, each
characterised by the type of distortion (bend or splay) in each corner of the
groove and by the shape of the nematic-isotropic interface, and additionally
the plateaux that separate the grooves may be either dry or wet with a thin
layer of nematic. Using numerical simulations, we analyse the dynamical
response of the system to an externally- applied electric field, with the aim
of identifying switching transitions between these filled states. We find that
order-electric coupling between the fluid and the field provides a means of
switching between states where the plateaux between grooves are dry and states
where they are wet by a nematic layer, without affecting the configuration of
the nematic within the groove. We find that flexoelectric coupling may change
the nematic texture in the groove, provided that the flexoelectric coupling
differentiates between the types of distortion at the corners of the substrate.
We identify intermediate stages of the transitions, and the role played by the
motion of the nematic-isotropic interface. We determine quantitatively the
field magnitudes and orientations required to effect each type of transition.Comment: 14 pages, 12 fig
Twist-induced crossover from two-dimensional to three-dimensional turbulence in active nematics
While studies of active nematics in two dimensions have shed light on various
aspects of the flow regimes and topology of active matter, three-dimensional
properties of topological defects and chaotic flows remain unexplored. By
confining a film of active nematics between two parallel plates, we use
continuum simulations and analytical arguments to demonstrate that the
crossover from quasi-2D to 3D chaotic flows is controlled by the morphology of
the disclination lines. For small plate separations, the active nematic behaves
as a quasi-2D material, with straight topological disclination lines spanning
the height of the channel and exhibiting effectively 2D active turbulence. Upon
increasing channel height, we find a crossover to 3D chaotic flows due to the
contortion of disclinations above a critical activity. We further show that
these contortions are engendered by twist perturbations producing a sharp
change in the curvature of disclinations.Comment: Accepted for PRE Rapid Communication
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