Abstract:One year ago most economic observers predicted that "fundamentals" were such that the euro was set to appreciate. In the event, the opposite has occurred. This has rekindled a debate on how well foreign exchange markets reflect fundamental determinants and led to calls for greater exchange rate stability, possibly through the introduction of formal exchange rate target zones. The first part of the paper focuses on these issues. It also looks at the euro’s prospects as an international currency. To give a bette… Show more
“…We have studied theoretically a rodlike polymer immersed in a nematic environment and described the effect of a nematic solvent on small fluctuations of the tangent vector perpendicular to the rod axis. We were thus able to calculate the physically interesting properties associated with our combined polymer and nematic system, including tangent−tangent correlation functions, and the scattering structure factor, which reproduces qualitatively known experimental results well. − …”
Section: Discussionsupporting
confidence: 58%
“…Shown in Figures −4 are plots of S ( Q z , Q ⊥ ) (where Q z = q z L and Q ⊥ = q ⊥ L ) for three different values of the Frank elasticity constant, with all other constant parameters held fixed. We can see from Figures −4 the characteristic “bow-tie” scattering pattern as typically found for nematic rods. − We can also see from Figures −4 that as the Frank constant increases (i.e., the solvent/environment becomes more nematic), the associated polymer rod scattering becomes less intense along the Q z axis. This is consistent with the physical picture that as the nematic order increases, the polymer rod becomes more and more aligned along the nematic director. − …”
Section: Scatteringmentioning
confidence: 65%
“…To physically elucidate fully the calculated effect of nematic order on our polymer rod, in section 3 we derive expressions for the tangent−tangent correlation functions of our polymer rod as well as the average end-to-end distance expected. In section 4 we present the theoretically expected structure factor for a polymer rod in a nematic solvent and reproduce the experimentally observed characteristic “bow-tie” scattering patterns. − In section 5, and as one application of our model, we examine the mechanical properties of hemoglobin fibers. − Under the physically reasonable assumption of the presence of a fairly weak nematic solvent, we are able to plausibly account for previously observed discrepancies 24,25 in the expected persistence lengths of hemoglobin fibers of differing lengths. As another biological application, we model the effects of a strong nematic environment of fd virus on the elastic and conformational properties of wormlike micelles …”
We present the theory for a long polymer rod immersed in a nematic environment and find the effects of a nematic solvent on small fluctuations of the tangent vector perpendicular to the rod axis. We are thus able to calculate the physically interesting properties associated with our combined polymer and nematic system. These include tangent-tangent correlation functions and the scattering structure factor, which reproduces known qualitative experimental results rather well. As one biological application of our model, we analyze the possible effects of a weak nematic solvent on the mechanical properties of individual hemoglobin fibers. As another biological application, we model the effects of a strong nematic environment, provided by fd virus, on the elastic and conformational properties of wormlike micelles. The work presented here can be viewed as constituting a microscopic model derivation of previous, more phenomenologically inspired, theories that deal with similar polymer/nematic systems. Interestingly, we find that a simple boundary condition of the nematic order at the rod surface agrees well with available experimental data.
“…We have studied theoretically a rodlike polymer immersed in a nematic environment and described the effect of a nematic solvent on small fluctuations of the tangent vector perpendicular to the rod axis. We were thus able to calculate the physically interesting properties associated with our combined polymer and nematic system, including tangent−tangent correlation functions, and the scattering structure factor, which reproduces qualitatively known experimental results well. − …”
Section: Discussionsupporting
confidence: 58%
“…Shown in Figures −4 are plots of S ( Q z , Q ⊥ ) (where Q z = q z L and Q ⊥ = q ⊥ L ) for three different values of the Frank elasticity constant, with all other constant parameters held fixed. We can see from Figures −4 the characteristic “bow-tie” scattering pattern as typically found for nematic rods. − We can also see from Figures −4 that as the Frank constant increases (i.e., the solvent/environment becomes more nematic), the associated polymer rod scattering becomes less intense along the Q z axis. This is consistent with the physical picture that as the nematic order increases, the polymer rod becomes more and more aligned along the nematic director. − …”
Section: Scatteringmentioning
confidence: 65%
“…To physically elucidate fully the calculated effect of nematic order on our polymer rod, in section 3 we derive expressions for the tangent−tangent correlation functions of our polymer rod as well as the average end-to-end distance expected. In section 4 we present the theoretically expected structure factor for a polymer rod in a nematic solvent and reproduce the experimentally observed characteristic “bow-tie” scattering patterns. − In section 5, and as one application of our model, we examine the mechanical properties of hemoglobin fibers. − Under the physically reasonable assumption of the presence of a fairly weak nematic solvent, we are able to plausibly account for previously observed discrepancies 24,25 in the expected persistence lengths of hemoglobin fibers of differing lengths. As another biological application, we model the effects of a strong nematic environment of fd virus on the elastic and conformational properties of wormlike micelles …”
We present the theory for a long polymer rod immersed in a nematic environment and find the effects of a nematic solvent on small fluctuations of the tangent vector perpendicular to the rod axis. We are thus able to calculate the physically interesting properties associated with our combined polymer and nematic system. These include tangent-tangent correlation functions and the scattering structure factor, which reproduces known qualitative experimental results rather well. As one biological application of our model, we analyze the possible effects of a weak nematic solvent on the mechanical properties of individual hemoglobin fibers. As another biological application, we model the effects of a strong nematic environment, provided by fd virus, on the elastic and conformational properties of wormlike micelles. The work presented here can be viewed as constituting a microscopic model derivation of previous, more phenomenologically inspired, theories that deal with similar polymer/nematic systems. Interestingly, we find that a simple boundary condition of the nematic order at the rod surface agrees well with available experimental data.
“…The scattered intensity I ( q ) ∝ P ( q ) S ( q ), where P ( q ) is the aggregate form factor and S ( q ) is the structure factor of the solution. The organization of the aggregates in a plane normal to the nematic director can be described, to a good approximation, by the structure factor S 2D ( q ) of a two-dimensional liquid, , which to first order is described by a two-dimensional hard disk fluid as follows: G = 1/(1 − η) 3/2 , χ = (1 + η)/(1 − η) 3 , A = [1 + (2η − 1)χ + 2η G ]/η, B = [(1 − η)χ − 1 − 3η G ]/η. η is the packing fraction of the disks, R is the disk radius, and J 0 and J 1 are the zeroth and first-order Bessel functions, respectively.…”
We have studied the phase behavior of binary mixtures of long- and short-chain lipids, namely, dimyristoyl phosphatidylcholine (DMPC) and dihexanoyl phosphatidylcholine (DHPC), using optical microscopy and small-angle neutron scattering. Samples with a total lipid content of 25 wt %, corresponding to ratios Q ([DMPC]/[DHPC]) of 5, 3.2, and 2, are found to exhibit an isotropic (I) --> chiral nematic (N) --> lamellar phase sequence on increasing temperature. The I-N transition coincides with the chain melting transition of DMPC at Q = 5 and 3.2, but the N phase forms at a higher temperature for Q = 2. All three samples form multilamellar vesicles in the lamellar phase. Our results show that disklike "bicellar" aggregates occur only in the lower temperature isotropic phase and not in the higher temperature magnetically alignable N phase, where they were previously believed to exist. The N phase is found to consist of long, flexible wormlike micelles, their entanglement resulting in the very high viscosity of this phase.
“…They are 1 nm thick, about 25 nm wide, and several microns long. Previous light scattering measurements have shown that the largest measured dimension in solution, most likely the persistence length, is about 300−500 nm. − In fact, some bending of the ribbons, apparently more difficult in the plane of the ribbons than out of it, is visible by transmission electron microscopy . While concentrated samples, between 8.6 and 0.4 mol/L vanadium concentration (i.e., between 10 and 250 H 2 O moles per V 2 O 5 mole), are gels, a sol is obtained by adding more water.…”
Starting from gel suspensions of vanadium pentoxide (V2O5), we have prepared a series of samples by
dilution with aqueous solutions of HPF6 or NH4OH to control the vanadium concentration and the pH.
We have first accurately determined the limit of stability of V2O5 ribbonlike particles from visual observation
and from the wavelength dependence of the absorbency of the solutions. We obtain an unexpected result
as we show that flocculation is most likely observed far from the isoelectric point of these colloidal suspensions.
To estimate the largest dimensions of the particles in the suspensions, we have made light and small-angle
neutron scattering experiments. We show that the particle geometry depends on the preparation process.
The analysis of the scattering data indicates that V2O5 ribbons behave like semiflexible objects in solution,
allowing us to estimate an elastic constant. We then discuss the observed phase diagram in terms of a
simple model where the stabilization of the colloidal particles is a thermodynamic process while their
geometry is controlled by kinetic parameters. Finally, the flocculation of the suspension is discussed using
the Derjaguin−Landau−Verwey−Overbeek model.
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