Microcanonical temperature for a classical field: Application to Bose-Einstein condensation

We show that the projected Gross-Pitaevskii equation (PGPE) can be mapped exactly onto Hamilton's equations of motion for classical position and momentum variables. Making use of this mapping, we adapt techniques developed in statistical mechanics to calculate the temperature and chemical potential of a classical Bose field in the microcanonical ensemble. We apply the method to simulations of the PGPE, which can be used to represent the highly occupied modes of Bose condensed gases at finite temperature. The method is rigorous, valid beyond the realms of perturbation theory, and agrees with an earlier method of temperature measurement for the same system. Using this method we show that the critical temperature for condensation in a homogeneous Bose gas on a lattice with a uv cutoff increases with the interaction strength. We discuss how to determine the temperature shift for the Bose gas in the continuum limit using this type of calculation, and obtain a result in agreement with more sophisticated Monte Carlo simulations. We also consider the behavior of the specific heat.

Traffic control: p120-catenin acts as a gatekeeper to control the fate of classical cadherins in mammalian cells

Proteins of the p120 family have been implicated in the regulation of cadherin-based cell adhesion, but their relative importance in this process and their mechanism of action have remained less clear. Three papers in this issue suggest that p120 plays a key role in maintaining normal levels of cadherin in mammalian cells, and that it may do so by regulating cadherin trafficking.

IR as Practical Philosophy: Defining a 'Classical Approach'

This article addresses the centrality of normativity to IR (International Relations) by engaging in an investigation of the meaning of a 'classical' approach (Bull 1969). It demonstrates how a classical approach, properly understood, might provide common ground for IR theorists. The substantive argument is that IR can benefit from reflection on the classical understanding of the relationship between theory and practice, and in particular on the understanding of this relationship provided by philosophical hermeneutics. Philosophical hermeneutics is an approach to the human sciences informed by Aristotle's conception of a practical philosophy. A practical philosophy in the classical sense sees theory as a moral and political inquiry involving a body of knowledge and a philosophy of practice engaging in reflection upon the nature of the good life and the means to achieve it.

Classical cadherin adhesion molecules: coordinating cell adhesion, signaling and the cytoskeleton

Classical cadherin adhesion molecules are fundamental determinants of tissue organization in both health and disease. Recent advances in understanding the molecular and cellular basis of cadherin function have revealed that these adhesion molecules serve as molecular couplers, linking cell surface adhesion and recognition to both the actin cytoskeleton and cell signalling pathways. We will review some of these developments. to provide an overview of progress in this rapidly-developing area of cell and developmental biology.

GCMC-surface area of carbonaceous materials with N-2 and Ar adsorption as an alternative to the classical BET method

In this paper we apply a new method for the determination of surface area of carbonaceous materials, using the local surface excess isotherms obtained from the Grand Canonical Monte Carlo simulation and a concept of area distribution in terms of energy well-depth of solid–fluid interaction. The range of this well-depth considered in our GCMC simulation is from 10 to 100 K, which is wide enough to cover all carbon surfaces that we dealt with (for comparison, the well-depth for perfect graphite surface is about 58 K). Having the set of local surface excess isotherms and the differential area distribution, the overall adsorption isotherm can be obtained in an integral form. Thus, given the experimental data of nitrogen or argon adsorption on a carbon material, the differential area distribution can be obtained from the inversion process, using the regularization method. The total surface area is then obtained as the area of this distribution. We test this approach with a number of data in the literature, and compare our GCMC-surface area with that obtained from the classical BET method. In general, we find that the difference between these two surface areas is about 10%, indicating the need to reliably determine the surface area with a very consistent method. We, therefore, suggest the approach of this paper as an alternative to the BET method because of the long-recognized unrealistic assumptions used in the BET theory. Beside the surface area obtained by this method, it also provides information about the differential area distribution versus the well-depth. This information could be used as a microscopic finger-print of the carbon surface. It is expected that samples prepared from different precursors and different activation conditions will have distinct finger-prints. We illustrate this with Cabot BP120, 280 and 460 samples, and the differential area distributions obtained from the adsorption of argon at 77 K and nitrogen also at 77 K have exactly the same patterns, suggesting the characteristics of this carbon.

Comparison of the distributions of classical and adaptively aligned EEG power spectra

The distributions of eyes-closed resting electroencephalography (EEG) power spectra and their residuals were described and compared using classically averaged and adaptively aligned averaged spectra. Four minutes of eyes-closed resting EEG was available from 69 participants. Spectra were calculated with 0.5-Hz resolution and were analyzed at this level. It was shown that power in the individual 0.5 Hz frequency bins can be considered normally distributed when as few as three or four 2-second epochs of EEG are used in the average. A similar result holds for the residuals. Power at the peak Alpha frequency has quite different statistical behaviour to power at other frequencies and it is considered that power at peak Alpha represents a relatively individuated process that is best measured through aligned averaging. Previous analyses of contrasts in upper and lower alpha bands may be explained in terms of the variability or distribution of the peak Alpha frequency itself.

Faith and politics: The rhetoric of church-state separation

Criticism of religiously motivated contributions to public policy debate is largely misconceived. It assumes that the mischief which constitutional separation of church and state is supposed to cure is a domination of the state by the church. This presents only one side of the story. Subservience by the church to the slate should also be avoided. The law of a liberal state is legitimate to the extent that it does not conflict with the basic moral values of its citizens. Therefore, an ongoing conversation about basic values is necessary. Allowing churches and individual believers the freedom to make distinctive 'religious' contributions to this conversation is consistent with the separation of church and state. It is an aspect of the liberal democratic state's obligation to listen to all perspectives on difficult moral issues. A close relationship between church and state, on the other hand, has the capacity to impede the conversation.