1,258 research outputs found
Non-ergodic transitions in many-body Langevin systems: a method of dynamical system reduction
We study a non-ergodic transition in a many-body Langevin system. We first
derive an equation for the two-point time correlation function of density
fluctuations, ignoring the contributions of the third- and fourth-order
cumulants. For this equation, with the average density fixed, we find that
there is a critical temperature at which the qualitative nature of the
trajectories around the trivial solution changes. Using a method of dynamical
system reduction around the critical temperature, we simplify the equation for
the time correlation function into a two-dimensional ordinary differential
equation. Analyzing this differential equation, we demonstrate that a
non-ergodic transition occurs at some temperature slightly higher than the
critical temperature.Comment: 8 pages, 1 figure; ver.3: Calculation errors have been fixe
An order parameter equation for the dynamic yield stress in dense colloidal suspensions
We study the dynamic yield stress in dense colloidal suspensions by analyzing
the time evolution of the pair distribution function for colloidal particles
interacting through a Lennard-Jones potential. We find that the equilibrium
pair distribution function is unstable with respect to a certain anisotropic
perturbation in the regime of low temperature and high density. By applying a
bifurcation analysis to a system near the critical state at which the stability
changes, we derive an amplitude equation for the critical mode. This equation
is analogous to order parameter equations used to describe phase transitions.
It is found that this amplitude equation describes the appearance of the
dynamic yield stress, and it gives a value of 2/3 for the shear thinning
exponent. This value is related to the mean field value of the critical
exponent in the Ising model.Comment: 8 pages, 2 figure
scattering in the Roper channel
We present results from our recent lattice QCD study of scattering in
the positive-parity nucleon channel, where the puzzling Roper resonance
resides in experiment. Using a variety of hadron operators, that
include -like, in -wave and in -wave, we
systematically extract the excited lattice spectrum in the nucleon channel up
to 1.65 GeV. Our lattice results indicate that N scattering in the elastic
approximation alone does not describe a low-lying Roper. Coupled channel
effects between and seem to be crucial to render a low-lying
Roper in experiment, reinforcing the notion that this state could be a
dynamically generated resonance. After giving a brief motivation for studying
the Roper channel and the relevant technical details to this study, we will
discuss the results and the conclusions based on our lattice investigation and
in comparison with other lattice calculations.Comment: 8 pages, 5 figures, presented at the 35th International Symposium on
Lattice Field Theory, 18-24 June 2017, Granada, Spai
Interaction of tigliane and daphnane diterpenoid esters with protein kinase C isozymes in vitro
Different biological effects elicited by different phorbol esters in mammalian cells are thought to be due mainly to their differential interaction with, and modification of, the cellular pool of PKC isozymes. However, in most investigations only TPA, as the most potent tumor-promoting phorbol ester, has been used. Inspite of observations that other phorbol esters exert more specific biological effects in vivo, relatively few studies have been reported so far on their interaction with individual PKC isozymes in vitro or in vivo. In vivo interaction of different phorbol esters with PKC involves penetration of the phorbol ester molecule into the inner layer of the cellular membrane and binding to the regulatory domain of PKC followed by redistribution of the PKC pool from the cytosolic to the membrane bound fraction. It is thought that PKC redistribution ("translocation") is followed by an activation step and phosphorylation of substrate(s). Tigliane (TPA, PdBu, DOPP, DOPPA and Sap A) and daphnane (Thy A and Rx) diterpenoids of the phorbol ester group, were investigated for their ability to interact with purified recombinant protein kinase C (PKC) isozymes. Representative compounds of distinct biological activity were chosen in an attempt to establish a correlation between their in vivo effects and their ability to interact with individual PKC isozymes. Utilising PKC isozymes α, β1, β2, ỿ, δ, ε, and ζ purified from a baculovirus/Sf9 insect cell expression system and a phosphatidylserine / Triton X-100 mixed micellar system as an in vitro cell membrane model, binding and activation of PKC isozymes by seven different phorbol esters was studied. Binding affinity and activation potency of individual compounds were found to correlate well with high tumor promoting activity of TPA and PdBu on one side and with the non-promoting action of DOPPA and Rx. However, the non-promoters DOPP and Sap A and a second stage tumor promoter Thy A were effective agonists of PKC isozymes. To study the ability of some PEs to induce association of PKC isozymes with cellular membranes (i.e. "translocation"), a membrane fraction obtained from HL-60 cells was used, in order to approach in vivo conditions. Although the ability of the investigated PEs to induce "translocation" of PKC isozymes corresponded to their ability to induce PKC activation, the ability of micromolar Ca2+ concentrations to induce membrane association of n-PKCs, ε and δ, was not in agreement with our activation results and current theory of Ca2+ independency of the n-PKC isozymes. These results suggested that specific biological effects of different phorbol esters could not solely be explained through differences in their interaction with PKC isozymes in vitro. It is possible that an intracellular component, absent in an artificial system, is responsible for modulation of phorbol ester effects in vivo. Additionally a daphnane diterpene and a second stage tumor promoter mezerein, was isolated from previously uninvestigated Daphne blagayana, a plant indegenous to the Balkan. For the first time, detailed one and two dimensional NMR (1H, 13C, COSY and NOESY) experiments were conducted to confirm the previously determined structure of mezerein. Computer assisted molecular modelling and structure analysis enabled determination of molecular minimum free energy and interatomic distances of the pharmacophore's functional groups. These values were similar to those obtained for a highly potent tumor promoter TPA. As an activator of individual PKC isozymes in vitro, mezerein appeared to be different from TPA. Mezerein was relatively less potent (when compared with TPA) as an activator of the novel PKC isozymes δ and ε. This suggested that differences in biological activity of mezerein and TPA could be, in part, due to differences in their ability to activate the PKC isozymes δ and ε
The order-disorder transition in colloidal suspensions under shear flow
We study the order-disorder transition in colloidal suspensions under shear
flow by performing Brownian dynamics simulations. We characterize the
transition in terms of a statistical property of time-dependent maximum value
of the structure factor. We find that its power spectrum exhibits the power-law
behaviour only in the ordered phase. The power-law exponent is approximately -2
at frequencies greater than the magnitude of the shear rate, while the power
spectrum exhibits the -type fluctuations in the lower frequency regime.Comment: 11 pages, 10 figures, v.2: We have made some small improvements on
presentation
Predicting positive parity mesons from lattice QCD
We determine the spectrum of 1P states using lattice QCD. For the
and mesons, the results are in good agreement
with the experimental values. Two further mesons are expected in the quantum
channels and near the and thresholds. A
combination of quark-antiquark and meson-Kaon interpolating fields
are used to determine the mass of two QCD bound states below the
threshold, with the assumption that mixing with and
isospin-violating decays to are negligible. We predict a
bound state with mass GeV. With
further assumptions motivated theoretically by the heavy quark limit, a bound
state with GeV is predicted in the
channel. The results from our first principles calculation are compared to
previous model-based estimates.Comment: 5 pages, 2 figures; Final versio
Introduction to Programming Using dBASE
An introduction to information technology and information systems is normally a component in business school curricula. Students are often required to write a few simple programs, mostly using programming language BASIC. However, dBASE is a good alternative to BASIC in fulfilling this function; indeed, in many respects it is a superior option. The choice of the language is based on many factors. Reasons such as dBASE\u27s excellent debugging facility, students\u27 previous (and possibly frustrating) experience with programming in BASIC, and a perception that dBASE will more likely be used after graduation than BASIC may support the substitution of BASIC with dBASE. The problem with using dBASE at this elementary level is that it offers much too extensive a set of commands and functions, which could easily overwhelm beginning students. However, a small subset of dBASE programming language, provides sufficient functionality to reach the above goals. This minimal subset should support variables, data input and output, database file creation, loading, listing, updating and sequential processing, program editing, saving, execution and debugging, and structured program constructs sequence, iteration (or repetition) and decision (or selection). This paper presents a functional subset of dBASE commands and the order of coverage which have been successfully used on many occasions. The paper can also be useful to prepare handout materials for students
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