The function g (which contains the singular part of the free energy) must have a special symmetry that relates its values for dual arguments. (For example the function f(x) = x/(1 + x) equals f(x), establishing a duality between the arguments at x and x.) Eq.(VI.23) has the following properties: 1. Low temperatures are mapped to high temperatures, and vice versa. 2. The mapping connects pairs o...

We consider the RSOS S–matrices of the Φ(1,5) perturbed minimal models which have recently been found in the companion paper [1]. These S–matrices have some interesting properties, in particular, unitarity may be broken in a stronger sense than seen before, while one of the three classes of Φ(1,5) perturbations (to be described) shares the same Thermodynamic Bethe Ansatz as a related Φ(1,2) per...

In this paper we deal with weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. First we prove that these solutions satisfy some weak-strong uniqueness property. Then we investigate the validity of energy identities. In particular we give a sufficient condition on the regularity of weak solutions to rule out anomalous dissipation. In the case o...

We derive from first principles (without resorting to the replica trick) a density-functional theory for fluids in quenched disordered matrices (QA-DFT). We show that the disorder-averaged free energy of the fluid is a functional of the average density profile of the fluid as well as the pair correlation of the fluid and matrix particles. For practical reasons it is preferable to use another fu...

Full network level privacy has often been categorized into four sub-categories: Identity, Route, Location and Data privacy. Achieving full network level privacy is a critical and challenging problem due to the constraints imposed by the sensor nodes (e.g., energy, memory and computation power), sensor networks (e.g., mobility and topology) and QoS issues (e.g., packet reach-ability and timeline...

the article provides a critical assessment of the more recent literature that relies on theoretical frameworks such as post modernism and globalization to deal with national identity, ethnicity and cultural mobility. explaining sensitive and complicated issues such as identity requires the extensive use of the native historical, cultural and sociological sources related to the iranian experienc...

this investigation postulatesvygotsky’s (1978) concept of zone of proximal development (zpd) and his related “scaffolding” metaphor as well as norton’s (2006) principles of sociocultural identity as its theoretical foundation.thisresearchintends to scrutinizethe socioculturally-oriented mediationalmechanisms utilized in student-student and student-teacher collaborationsin an iranian efl writing...

We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the W 1,2 ×L modulo bubbles compactness of a sequence of such maps. 2000 Mathematics Subject Classifica...

We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the W 1,2 ×L modulo bubbles compactness of a sequence of such maps. 2000 Mathematics Subject Classifica...