Human land cover can degrade estuaries directly through habitat loss and fragmentation or indirectly through nutrient inputs that reduce water quality. Strong precipitation events are occurring more frequently, causing greater hydrological connectivity between watersheds and estuaries. Nutrient enrichment and dissolved oxygen depletion that occur following these events are known to limit popula...

The integrable perturbation of the degenerate boundary condition (d) by the φ1,3 boundary field generates a renormalization group flow down to the superposition of Cardy boundary states (+)&(−). Exact Thermodynamic Bethe Ansatz (TBA) equations for all the excited states are derived here extending the results of [1] to this case. As an intermediate step, the non-Cardy boundary conformal sector (...

We study the scaling limits of the L-state Restricted Solid-on-Solid (RSOS) lattice models and their fusion hierarchies in the off-critical regimes. Starting with the elliptic functional equations of Klümper and Pearce, we derive the Thermodynamic Bethe Ansatz (TBA) equations of Zamolodchikov. Although this systematic approach, in principle, allows TBA equations to be derived for all the excite...

The equation of state of the universality class of the 3D Ising model is determined numerically in the critical domain from quantum field theory and renormal-ization group techniques. The starting point is the five loop perturbative expansion of the effective potential (or free energy) in the framework of renormalized φ 4 3 field theory. The 3D perturbative expansion is summed, using a Borel tr...

A stable relaxation approximation for a transport equation with the diiusive scaling is developed. The relaxation approximation leads in the small mean free path limit to the higher order diiusion equation obtained from the asymptotic analysis of the transport equation.

We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wavelets: For the wavelet scattering, the translation symmetry, the scaling operator, and the scaling function are identiied in the scattering theoretic spectral transform; the scaling function is shown to be analytic; and an analytic spectral function is identiied as an invariant for multiresolutions,...

Several new results on the multicritical behavior of rectangular matrix models are presented. We calculate the free energy in the saddle point approximation, and show that at the triple-scaling point, the result is the same as that derived from the recursion formulae. In the triple-scaling limit, we obtain the string equation and a flow equation for arbitrary multicritical points. Parametric so...

We provide a systematic derivation of the scaling behaviour of various quantities and, in particular, establish the scale invariance of the ionization probability. We discuss the gauge invariance of the scaling properties and the manner in which they can be exploited as a consistency check in explicit analytical expressions, in perturbation theory, in the Kramers–Henneberger and Floquet approxi...

This paper is concerned with scaling limits in kinetic semiconductor models. For the classical Vlasov-Poisson-Fokker-Planck equation and its quantum mechanical counterpart, the Wigner-Poisson-Fokker-Planck equation, three distinguished scaling regimes are presented. Using Hilbert and Chapman-Enskog expansions, we derive two drift-diiusion type approximations. The test case of a n + ?n?n + diode...

This paper is concerned with scaling limits in kinetic semiconductor models. For the classical Vlasov-Poisson-Fokker-Planck equation and its quantum mechanical counterpart, the Wigner-Poisson-Fokker-Planck equation, three distinguished scaling regimes are presented. Using Hilbert and Chapman-Enskog expansions, we derive two drift-diffusion type approximations. The test case of a n+−n−n+ diode r...