Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing pureN = 1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution exhibits confinement and the U(1)R chiral symmetry breaking of the dual YM theory, while the singular solution corresponds to the gauge theory phase with unbroken U(1)R chiral symmetry. In this paper we discuss supersymmetric type IIB compactifi...

it seems using the maxwell-stefan (m-s) diffusion model in combination with the vacancy solutiontheory (vst) and the single-component adsorption data provides a superior, qualitative, andquantitative prediction of diffusion in zeolites. in the m-s formulation, thermodynamic factor (г) isan essential parameter which must be estimated by an adsorption isotherm. researchers usually utilizethe simp...

-Activity expressions are presented for a six end-member, regular solution, site-mixing model for chlorites. The end members are ideal 14-/~ chlorites for which experimental stability data are lacking. Estimates were made of the standard state 25~ and 1 bar molar 3rd law entropies, volumes, and the Maier-Kelley heat capacity coefficients. Experimental stability data from the literature for 14-A...

We consider the nonlinear eigenvalue problem (0.1) { −Δu = up + λu in B, u > 0 in B, u = 0 on ∂B, where B denotes the unit ball in RN , N ≥ 3, λ > 0 and p > (N + 2)/(N − 2). According to classical bifurcation theory, the point (μ1, 0) is a bifurcation point from which emanates an unbounded branch C of solutions (λ, u) of (0.1), where μ1 is the principal eigenvalue of −Δ in B with Dirichlet boun...

We explore the equimultiplicity theory of F-invariants Hilbert–Kunz multiplicity, F-signature, Frobenius Betti numbers, and Euler characteristic in strongly F-regular rings. Techniques introduced this paper provide a unified approach to study localization these invariants detection singularities.

Abstract Disordered spring networks can exhibit rigidity transitions, due to either the removal of material in over-constrained or application strain under-constrained ones. While an effective medium theory (EMT) exists for former, there is none latter. We, therefore, formulate EMT random regular, with purely geometrical disorder predict their stiffness via distribution tensions. We find a line...