A relation between the freezing temperature (T(g)) and the exchange couplings (J(ij)) in metallic spin-glasses is derived, taking the spin correlations (C(ij)) into account. This approach does not involve a disorder average. The expansion of the correlations to first order in J(ij)/T(g) leads to the molecular-field result from Thouless-Anderson-Palmer. Employing the current theory for the spin ...

The aim of this paper is to derive explicit formulae for the Riemannian Bures metric g on the manifold D of (finite dimensional) nondegenerate density matrices ̺. The computation of the Bures metric using these equations does not require any diagonalization procedure. The first equations we give are, essentially , of the form g = a ij Tr d̺ ̺ i−1 d̺ ̺ j−1 , where a i,j is a matrix of invari-ants of ̺...

The Glauber dynamics of the pure and weakly-disordered random-bond 2d Ising model is studied at zero-temperature. The coarsening length scale, L(t), is extracted from the equal time correlation function. In the pure case, the persistence probability decreases algebraically with L(t). In the disordered case, three distinct regimes are identified: a short time regime where the behaviour is pure-l...

A mixed graph is a that can be obtained from simple undirected by replacing some of the edges arcs in precisely one two possible directions. The Hermitian adjacency matrix $G$ order $n$ $n \times n$ $H(G)=(h_{ij})$, where $h_{ij}=-h_{ji}= \boldsymbol{\mathrm{i}}$ (with $\boldsymbol{\mathrm{i}} =\sqrt{-1})$ if there exists an arc $v_i$ to $v_j$ (but no $v_i$), $h_{ij}=h_{ji}=1$ edge (and arcs) b...

In case of an anisotropic superconductor non-magnetic disorder leads eventually to pair breaking effect via Abrikosov–Gorkov formula [1, 2, 3, 4, 5], like for magnetic impurities, for any value of a coherence length ξ. By analogy to an isotropic s–wave pairing, for superconductors with an enough large coherence length ξ, the amplitude of paring potential |∆(ij)| tends be the same for all bonds ...

It is known that a left C-wrpp semigroup can be described as curler structure of a left band and a C-wrpp semigroup. In this paper, we introduce the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass. We shall particularly show that the spined product of a left C-wrpp semigroup and a right normal band is a weakly left C-wrpp semifroup. ...

In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to $S$-posets and present equivalent descriptions of weakly kernel p...

Let $R$ be a commutative ring. The purpose of this article is to introduce a new class of ideals of R called weakly irreducible ideals. This class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. The relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...

In this paper we introduce the notion of $varphi$-commutativity for a Banach algebra $A$, where $varphi$ is a continuous homomorphism on $A$ and study the concept of $varphi$-weak amenability for $varphi$-commutative Banach algebras. We give an example to show that the class of $varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We charac...

E gávnnu åvdep guoradallama ma li gehtjadam iellemguojme vahágahttemav sáme álmmuga gaskan. Diehtep vahágahttem åbbålattjat, ja sierraláhkáj, vájkkut psykalasj varresvuohtaj nievres láhkáj, árvvedahtte sámij gaskan la sæmmi láhkáj. SAMINOR 2 – gatjálvissjiemáguoradallama dáhtáj milta lip man dábálasj iellemguojmev dåbdulattjat, rubbmelattjat sevsalattjat vahágahttet. Lep aj gåktu goavge depresj...