We investigate a well studied system of quantum dot coupled to Coulomb box and leads, realizing spin-flavor Kondo model. It exhibits recently discovered non-Fermi liquid (NFL) behavior with emergent SO(5) symmetry. Here, through detailed bosonization refermionization solution, we push forward our previous work provide consistent complete description the various exotic properties phase diagram. ...

E ective viscosity (EV) of suspensions of puller-like microswimmers (pullers), such as the Chlamydamonas algae, is di cult to measure or to simulate for all swimmer concentrations. Although there are good reasons to expect that the EV of pullers is similar to that of passive suspensions, analytic determination of the passive EV for all concentrations remains unsatisfactory. At the same time, th...

The paper studies the bank’s lending decision, based on three observed phenomena: Banks earn substantial profits from off-balance sheet activities and services, which they take into account in their lending decisions. Secondly, the critical point in the customer relation is the loan decision: the probability of the customer staying with the bank is a function of the loan extended each time one ...

For the polynomial planar vector fields with a hyperbolic or nilpotent critical point at the origin, the monodromy problem has been solved, but for the strongly degenerate critical points this problem is still open. When the critical point is monodromic, the stability problem or the center- focus problem is an open problem too. In this paper we will consider the polynomial planar vector fields ...

in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prim...

The theory of radiation driven wind including stellar rotation is re-examined. After a suitable change of variables, a new equation for the mass loss rate is derived analytically. The solution of this equation remains within 1% confidence when compared with numerical solutions. Also, a non-linear equation for the position of the critical (singular) point is obtained. This equation shows the exi...