In this work, we present a unified approach to the thermodynamics of hadron–quark–gluon matter at finite temperatures on basis quark cluster expansion in form generalized Beth–Uhlenbeck with generic ansatz for hadronic phase shifts that fulfills Levinson theorem. The change composition system from hadron resonance gas quark–gluon plasma takes place narrow temperature interval 150–190 MeV, where...

We study quantum cluster algebras from unpunctured surfaces with arbitrary coefficients and quantization. first give a new proof of the Laurent expansion formulas for commutative surfaces, we then algebras. Particularly, this gives combinatorial positivity such class

We describe the reactivity of hypersilyl-functionalized Zintl cluster salt K[Ge9(Hyp)3] towards nickel reagents Ni(COD)2 and Ni(Cp)2, which gives rise to markedly different complexes.

Linked cluster expansions are generalized from an infinite to a finite volume on a d-dimensional hypercubic lattice. They are performed to 20th order in the expansion parameter to investigate the phase structure of scalar O(N) models for the cases of N = 1 and N = 4 in 3 dimensions. In particular we propose a new criterion to distinguish first from second order transitions via the volume depend...

Molecular phylogenetic evidence from 28S rRNA-D2 expansion segment was used to facilitate differentiation of six different pest species of moths from the superfamily Noctuoidea. The expansion segment of the large ribosomal subunit of 28S rRNA-D2 region was amplified, sequenced and used to construct a phylogenetic tree on the basis of N-J phylogeny method. The topology on the basis of this phylo...

We give combinatorial formulas for the Laurent expansion of any cluster variable in any cluster algebra coming from a triangulated surface (with or without punctures), with respect to an arbitrary seed. Moreover, we work in the generality of principal coefficients. An immediate corollary of our formulas is a proof of the positivity conjecture of Fomin and Zelevinsky for cluster algebras from su...

Titanium oxide clusters are generated in a supersonic expansion by laser ablation of the metal and reaction with oxygen (0.1-6%) in He expansion gas. Mass spectra of the titanium oxide clusters are observed by photoionization with lasers of three different wavelengths: 118, 193, and 355 nm. Only the 118 nm (10.5 eV) light can ionize Ti(m)O(n) neutral clusters without fragmentation. Both the 193...

We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster variables in these cluster algebras in terms of perfect matchings of a certain graph GT,γ that is constructed from the surface by recursive glueing of elementary pieces that we call tiles. We also give a second formula...