Working group report: Collider Physics

This is summary of the activities of the working group on collider physics in the IXth Workshop on High Energy Physics Phenomenology (WHEPP-9) held at the Institute of Physics, Bhubaneswar, India in January 2006. Some of the work subsequently done on these problems by the subgroups formed during the workshop is included in this report.     

Structure and aggregation number of a lyotropic liquid crystal: a fluorescence quenching and molecular dynamics study

The structure and aggregation number of a discotic lyotropic liquid crystal, prepared from tetradecyltrimethylammonium chloride (TDTMACl)/decanol (DeOH)/NaCl/H2O, have been examined using fluorescence quenching of pyrene by hexadecylpyridinium chloride and molecular dynamics (MD). The fluorescence method gives an aggregation number of 258 +/- 25 units (DeOH + TDTMACl). From the MD simulation, a lower limit for the aggregate dimension of 130 units of DeOH + TDTMACl is predicted. A stable oblate aggregate of 240 units was studied in detail. A strong polarization between the ammonium headgroups and chloride ions is observed from the calculated trajectory. DeOH headgroups are located, on average, 0.3 nm more to the interior of the aggregate than the TDTMACl headgroup and contribute to widening the interface by forming H-bonds with water. The radial distribution function of the ammonium headgroup shows that there are 16 water molecules in the first solvation sphere. The diagonal elements of the order parameter tensor of the tail atoms of both surfactants indicate that the interior of the micelle preserves about the same degree of order as at the interface, up to the last three atoms of the aliphatic chain, where the order starts to decrease.     

Molecular models of lipopeptide detergents: large coiled-coils with hydrocarbon interiors

We have constructed molecular models of octameric micelles formed by a recently developed lipopeptide detergent consisting of a single amphipathic alpha-helix coupled to two acyl chains at either end of the helix. The models explain the experimentally observed aggregation behavior of peptides with different acyl chain lengths. The octameric micelles form a unique coiled-coil structure, with the acyl chains in a nearly frozen conformation inside the cylindrical assemblies. Two extreme models with helices either all parallel or in an alternating orientation suggest that the alternating orientation is energetically more favorable. The models suggest several new directions for further diversifying this new class of detergents for the structural studies of membrane proteins.     

Structures of neat and hydrated 1-octanol from computer simulations

Molecular dynamics computer simulations of 1-octanol and its mixtures with water have been performed. The liquid is composed of regions enriched in either hydrocarbons or hydroxyl groups. In neat octanol, the hydroxyl groups form clusters of long, thin chains. Upon the addition of water, the clusters become longer and more spherical, forming a structure that can be described as consisting of "overlapping elongated inverse micelles". The structures of the mixtures obtained at different hydration levels are consistent with those of experimental diffraction studies of water/octanol mixtures and previous computer simulations of neat and water-saturated octanol. The saturation point of the model has been calculated using the cavity-bias particle insertion method. The solubility of water in octanol is slightly too low compared to experimental results, and suggestions for possible improvements to the force field are made.     

On the singularity of Green's tensor for a perfectly conducting semi-infinite cone

This paper is intended to clarify a misunderstanding concerningthe source singularity of the electric Green's tensor for aperfectly conducting semi-infinite cone of circular cross-section.Tai's series expansion of the Green's tensor is known to lacka singular term at the source region. Jones has reconstructedthe solution to this problem and has pointed out the differencebetween his result and that of Tai. The aim of our paper isto demonstrate that, although Jones's closed-form solution iscorrect, there is a mistake in his comparison with Tai's seriessolution. We conclude that one of the two additional singularterms that Jones claims as missing from Tai's formula must beomitted. Besides, we compare Jones's closed-form solution withSmyshlyaev's solution to the very same problem. We concludethat the magnetic field expressions given by Jones and Smyshlyaevcoincide, but a singular term is missing from Smyshlyaev's expressionfor the electric field.     

Aerodynamic forces on a tall building in a turbulent boundary layer

The model studies were designed to obtain information concerning wind loads on a tall building by placing the model in a turbulent shear flow simulating expected atmospheric boundary-layer winds. Since current design codes are inadequate for predicting all possible motions of tall buildings, it is important that better knowledge of mean and fluctuating loadings and their distributions becomes available. Experiments were conducted to determine the mean and fluctuating forces and twisting moments at several levels over the surface of a model. By determining the effects at several levels simultaneously, it was possible to correlate forces and moments at five levels with one common level. A single model was tested at varying orientations. Tests were also conducted with an identical model placed upstream so that its wake influenced the flow around the instrumented model. Results are presented in terms of distributions of force and moment coefficients and correlations at different levels. The spectral character of the force and moment components is illustrated for one case. Paper was presented at 1977 SESA Spring Meeting held in Dallas, TX on May 15–20.     

Characteristic time scales of velocity and pressure events

Numerical and wind tunnel simulations of full-scale wind loads on structures are usually performed at a lower Reynolds number and different turbulence parameters. One way to assess the validity of such simulations is through matching magnitudes, duration and/or spectral characteristics of simulated pressure peaks with full-scale data. Because wavelet analysis provides a time/frequency decomposition, it has been proposed as an analysis tool for the intermittent and transient pressure peaks. This work aims at answering the question as to whether different wavelets yield the same-scale decomposition of pressure peaks and velocity events and could, thus, be used as a tool for the analysis of extreme loads on structures. The results show that, by isolating the peaks or events with a modified Gaussian window prior to applying the wavelet transform, the dependence of the measured time scale on different wavelet functions is reduced. The time scales of the pressure peak and the velocity event are estimated to be about the same indicating that one contributing factor, at the peak scale, to the pressure peak lies in the variation of the incoming flow at the same scale.     

Lipids out of equilibrium: energetics of desorption and pore mediated flip-flop

The potential of mean force (PMF) of a phospholipid in a bilayer is a key thermodynamic property that describes the energetic cost of localized lipid defects. We have calculated the PMF by umbrella sampling using molecular dynamics simulations. The profile has a deep minimum at the equilibrium position in the bilayer and steeply rises for displacements both deeper into the bilayer and moving away from the bilayer. As the lipid loses contact with the bilayer, the profile abruptly flattens without a significant barrier. The calculated free energy difference of 80 kJ/mol between the minimum of the PMF and the value in water agrees well with the free energy difference calculated from the experimentally measured critical micelle concentration. Significant water/lipid defects form when a lipid is forced into the bilayer interior, in the form of a small water pore that spans the membrane. The energy required to form such a water pore is also found to be 80 kJ/mol. On the basis of this energy, we estimate the lipid flip-flop rate and permeability rate of sodium ions. The resulting rates are in good agreement with experimental measurements, suggesting lipid flip-flop and basal permeability of ions are pore mediated.