We study the soft mode along the critical line in the phase diagram with the tricritical point, using the Nambu–Jona-Lasinio model. At the critical point with finite quark mass, the ordering density becomes a linear combination of the scalar, quark number and energy densities, and their susceptibilities diverge with the same exponent. Based on the conservation law, it is argued that the diverge...

In a previous paper we studied the effect of latitudinal rotation on solar equatorial Rossby modes in beta-plane approximation. Since then, rich spectrum inertial has been observed Sun, which is not limited to and includes high-latitude modes. Here extend computation toroidal 2D spherical geometry, using realistic differential including viscous damping. The aim compare computed mode spectra wit...

We propose a general formulation, called Multi-X, for multi-class multi-instance model fitting – the problem of interpreting the input data as a mixture of noisy observations originating from multiple instances of multiple classes. We extend the commonly used α-expansion-based technique with a new move in the label space. The move replaces a set of labels with the corresponding density mode in ...

The design of a Geosynthetic Reinforced Soil (GRS) wall for internal stability requires computing the reinforcement embedment length against pullout failure. The location of failure plane is important input for this design. The current FHWA design guidelines assume the location of failure plane based on Rankine theory. While this assumption holds true for conventional walls it is unconservative...

Let f ∈ Q[X1, . . . , Xn] be a polynomial of degree D. Computing the set of generalized critical values of the mapping e f : x ∈ C → f(x) ∈ C (i.e. {c ∈ C | ∃(xk)k∈N f(xk) → c and ||xk||.||dxkf || → 0 when k → ∞}) is an important step in algorithms computing sampling points in semi-algebraic sets defined by a single inequality. A previous algorithm allows us to compute the set of generalized cr...

Approximate surface fields due to a plane-wave solution and a local-mode solution are compared. The plane-wave solution, which is new, is shown to agree well with experiment. The local-mode solution, which often has been applied to tapered waveguides and antennas, fails near the cutoffs of the surface waves.

In this short review we look at recent advances in Schramm-Loewner Evolution (SLE) theory and its application to critical phenomena. The application of SLE goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. Through the use of SLE, the evolution of conformally invariant paths on the complex plane can be followed; hence a...

In the last decades, many catastrophic events due to rupture of metallic components have been traced back fretting fatigue. order avoid failures such a contact phenomenon, researchers focused on fatigue behaviour different materials. present work, an experimental campaign carried out Al 7075-T6 aluminium alloy is simulated by employing multiaxial criterion proposed for The configuration flat-to...