4,748 research outputs found
Two-dimensional state sum models and spin structures
The state sum models in two dimensions introduced by Fukuma, Hosono and Kawai
are generalised by allowing algebraic data from a non-symmetric Frobenius
algebra. Without any further data, this leads to a state sum model on the
sphere. When the data is augmented with a crossing map, the partition function
is defined for any oriented surface with a spin structure. An algebraic
condition that is necessary for the state sum model to be sensitive to spin
structure is determined. Some examples of state sum models that distinguish
topologically-inequivalent spin structures are calculated.Comment: 43 pages. Mathematica script in ancillary file. v2: nomenclature of
models and their properties changed, some proofs simplified, more detailed
explanations. v3: extended introduction, presentational improvements; final
versio
The effect of polydispersity on the ordering transition of adsorbed self-assembled rigid rods
Extensive Monte Carlo simulations were carried out to investigate the nature
of the ordering transition of a model of adsorbed self-assembled rigid rods on
the bonds of a square lattice [Tavares et. al., Phys. Rev E 79, 021505 (2009)].
The polydisperse rods undergo a continuous ordering transition that is found to
be in the two-dimensional Ising universality class, as in models where the rods
are monodisperse. This finding is in sharp contrast with the recent claim that
equilibrium polydispersity changes the nature of the phase transition in this
class of models [L`opez et. al., Phys. Rev E 80, 040105(R)(2009)].Comment: 19 pages, 5 figure
What wrist should you wear your actigraphy device on? Analysis of dominant vs. non-dominant wrist actigraphy for measuring sleep in healthy adults
OBJECTIVE: Differences in sleep results due to the placement of actigraphy devices (non-dominant vs. dominant wrist) are yet to be determined.
METHODS: 65 nights of data from 13 adult participants was collected while participants wore two actigraphy devices, one on each wrist. Sleep indices including total sleep time (TST), total time in bed (TTB), sleep efficiency (SE%), sleep latency (SL), wake after sleep onset (WASO), sleep onset time (SOT) and wake time (WT) were assessed between the two devices.
RESULTS: There were no significant differences between devices for any of the measured sleep variables (p>0.05). SE%, SL and WASO resulted in high correlations between devices (0.89, 0.89 and 0.76, respectively), with all other sleep variables resulting in very high correlations (>0.90) between devices.
CONCLUSIONS: Based on our results, it does not seem critical which wrist the actigraphy device is worn on for measuring key sleep variables
The influence of ion binding and ion specific potentials on the double layer pressure between charged bilayers at low salt concentrations
Measurements of surface forces between double-chained cationic bilayers adsorbed onto molecularly smooth mica surfaces across different millimolar salt solutions have revealed a large degree of ion specificity [Pashley et al., J. Phys. Chem. 90, 1637 (1986)]. This has been interpreted in terms of highly specific anion binding to the adsorbed bilayers. We show here that inclusion in the double layer theory of nonspecific ion binding and ion specific nonelectrostatic potentials acting between ions and the two surfaces can account for the phenomenon. It also gives the right Hofmeister series for the double layer pressure.M.B. thanks the Swedish Research Council and the German
Arbeitsgemeinschaft industrieller Forschungvereinigungen
Otto von Guericke e.V. AiF for financial support.
E.R.A.L. and F.W.T. thank FAPERJ and CNPq the Brazilian
Agencies for financial support
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