We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the p-wave BCS pairing state of composite fermions. When the ratio α ≡ (e/ǫlB)/ǫF (lB : the magnetic length, ǫF : Fermi energy of the composite fermions) is larger than a...

1. Volkow N. D., Li T. K. Drug addiction: the neurobiology of behaviour gone awry. Nat Rev Neurosci 2004; 5: 963–70. 2. Kalant H. What neurobiology cannot tell us about addiction. Addiction 2010; 105: 780–9. 3. Hall W. D. Avoiding potential misuses of addiction brain science. Addiction 2006; 101: 1529–32. 4. Midanik L. Biomedicalization of Alcohol Studies: Methodological Shifts and Institutiona...

The parabolic scalar curvature equation is a reaction-diffusion type equation on an (n − 1)-manifold Σ, the time variable of which shall be denoted by r. Given a function R on [r0, r1)×Σ and a family of metrics γ(r) on Σ, when the coefficients of this equation are appropriately defined in terms of γ and R, positive solutions give metrics of prescribed scalar curvature R on [r0, r1)× Σ in the fo...

We review recent results based on an application of the real-space renormalization group (RG) approach to a network model for the integer quantum Hall (QH) transition. We demonstrate that this RG approach reproduces the critical distribution of the power transmission coefficients, i.e., two-terminal conductances, Pc(G), with very high accuracy. The RG flow of P (G) at energies away from the tra...

Many applications in computer vision and computer graphics require the definition of curves and surfaces. Implicit surfaces [7] are a popular choice for this because they are smooth, can be appropriately constrained by known geometry, and require no special treatment for topology changes. Given a scalar function f : Rd 7→ R, one can define a manifold S of dimension d− 1 wherever f(x) passes thr...

We consider catalytic branching populations. They consist of a catalyst population evolving according to a critical binary branching process in continuous time with a constant branching rate and a reactant population with a branching rate proportional to the number of catalyst individuals alive. The reactant forms a process in random medium. We describe asymptotically the genealogy of catalytic...

Some standard closure approximations used in turbulence theory are analyzed by examining systematically the predictions these approximations produce for a passive scalar advection model consisting of a shear flow with a fluctuating cross sweep. This model has a general geometric structure of a jet flow with transverse disturbances, which occur in a number of contexts, and it encompasses a wide ...

A general theoretical approach based on the results of statistical optics is used for the analysis of the transverse coherence properties of third generation hard x-ray synchrotron sources and x-ray free-electron lasers (XFEL). Correlation properties of the wavefields are calculated at different distances from an equivalent Gaussian Schell-model source. This model is used to describe coherence ...