The dressed Scattering matrix describing scattering of quasiparticles in various models with long-range interactions is evaluated by means of Korepin’s method. For models with 1 sin2(r) -interactions the S-matrix is found to be a momentum-independent phase, which clearly demonstrates the ideal gas character of the quasiparticles in such models. We then determine S-matrices for some models with ...

The final self-similar state of decaying two-dimensional (2D) turbulence in 2D incompressible viscous flow is analytically and numerically investigated for the case with periodic boundaries. It is proved by theoretical analysis and simulations that the sinh-Poisson state comega=-sinh (betapsi) is not realized in the dynamical system of interest. It is shown by an eigenfunction spectrum analysis...

Using the recently obtained exact results for the expectation values of operators in the sineand sinh-Gordon models [A. B. Zamolodchikov and S. Lukyanov, Nucl. Phys. B493, 571 (1997), V. Fateev, S. Lukyanov, A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. B406, 83 (1997)] we calculate the specific heat of the corresponding two dimensional Euclidean (classical) models. We show that the...

We derive a new zero-curvature formalism for the sine-Gordon (sG) equation which permits the introduction of a local sine-Gordon hierarchy (in contrast to the traditionally accepted nonlocal higher-order sG equations). In complete analogy to other completely integrable hierarchies of soli-ton equations, such as the KdV, AKNS, and Toda hierarchies, our local sG hierarchy is recursively construct...

Let n < 0 be arbitrary. A central problem in Euclidean Lie theory is the computation of ideals. We show that ξ ≡ R(∆). Unfortunately, we cannot assume that R̂ ( 1 U , 1 2 ) = { 1 s : r̄−1 (1 ∧ |r̂|) > sin−1 ( β(O) ) sinh−1 (C′−1) } ≥ { Ȳ · 0: αα,F ( ∞−6, . . . , ξ−2 ) < 1 s(y) × log (e± δq) }

In this article, dynamic modeling of double walled cylindrical functionally graded (FG) microshell is studied. Size effect of double walled cylindrical FG microshell are investigated using modified couple stress theory (MCST). Each layer of microshell is embedded in a viscoelastic medium. For the first time, in the present study, has been considered, FG length scale parameter in double walled c...

The snake phenomenon has been observed in JET during the experiments of pellet injection and consists in formation of persistent density perturbations at rational-q surfaces. These structures persist over several sawtooth collapses and are difficult to explain as magnetic perturbations. Possibly related to this, there are indications that the tokamak plasma density has an anomalous radial pinch...

We investigate extensions of dependence logic with generalized quantifiers. We also introduce and investigate the notion of a generalized atom. We define a system of semantics that can accommodate variants of dependence logic, possibly extended with generalized quantifiers and generalized atoms, under the same umbrella framework. The semantics is based on pairs of teams, or double teams. We als...