Stability of a two-sublattice spin-glass model

We study the stability of the replica-symmetric solution of a two-sublattice infinite-range spin-glass model, which can describe the transition from antiferromagnetic to spin glass state. The eigenvalues associated with replica-symmetric perturbations are in general complex. The natural generalization of the usual stability condition is to require the real part of these eigenvalues to be positive. The necessary and sufficient conditions for all the roots of the secular equation to have positive real parts is given by the Hurwitz criterion. The generalized stability condition allows a consistent analysis of the phase diagram within the replica-symmetric approximation.Comment: 21 pages, 5 figure

Valuation of Forest Resources in Watershed Areas: Selected Applications in Makiling Forest Reserve

The valuation of resources found in the watershed area is important in assessing the impacts of changes in the watershed. While the change will have positive impacts which are short-term in nature, there are long-term environmental damages associated with economic benefits. This paper gives a rational judgment on the soundness of such changes through cost and benefit analysis. The watershed approach is utilized to capture the effects that are relevant in the analysis.forestry sector, watershed, uplands

Valuation of Forest Resources in Watershed Areas: Selected Applications in Makiling Forest Reserve

The valuation of resources found in the watershed area is important in assessing the impacts of changes in the watershed. While the change will have positive impacts which are short-term in nature, there are long-term environmental damages associated with economic benefits. This paper gives a rational judgment on the soundness of such changes through cost and benefit analysis. The watershed approach is utilized to capture the effects that are relevant in the analysis.forestry sector, watershed, uplands

Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach

Methods based on Wilson's renormalization group have been successfully applied in the context of nuclear physics to analyze the scale dependence of effective nucleon-nucleon ($NN$) potentials, as well as to consistently integrate out the high-momentum components of phenomenological high-precision $NN$ potentials in order to derive phase-shift equivalent softer forms, the so called $V_{low-k}$ potentials. An alternative renormalization group approach that has been applied in this context is the Similarity Renormalization Group (SRG), which is based on a series of continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. In this work we study the SRG evolution of a leading order (LO) chiral effective $NN$ potential in the $^1 S_0$ channel derived within the framework of the Subtracted Kernel Method (SKM), a renormalization scheme based on a subtracted scattering equation.Comment: Published versio