Phase transitions for models with a continuum set of spin values on a Bethe lattice

Theoretical and Mathematical Physics - We consider a model with nearest-neighbor interactions and the set $$[0,1]$$ of spin values on a Bethe lattice (Cayley tree) of arbitrary order. This model...     

Phase transitions for a model with uncountable spin space on the Cayley tree: the general case

Positivity - In this paper we complete the analysis of a statistical mechanics model on Cayley trees of any degree, started in Botirov (Positivity 21(3):955–961, 2017), Eshkabilov et al. (J...     

New genistein monogalactoside from the aerial part of <Emphasis Type="Italic">Trifolium pratense</Emphasis>

Formononetin, prunetin, genistein, genistin, and a new genistein glycoside genistein-7-O-β-D-galactopyranoside were isolated from the aerial part of Trifolium pratense L. The structures of the isolated compounds were established based on chemical transformations and UV, ¹H, and ¹³C NMR spectra. __________ Translated from Khimiya Prirodnykh Soedinenii, No. 2, pp. 141–143, March–April, 2008.     

Two new isoflavonoid monogalactosides from <Emphasis Type="Italic">Trifolium pratense</Emphasis> roots

Formononetin and the new isoflavonoid glycosides formononetin-7-O-β-D-galactopyranoside and inermin-3-O-β-D-galactopyranoside were isolated from Trifolium pratense L. roots. The structures of the isolated compounds were proved using chemical transformations and UV, PMR, and ¹³C NMR spectra. __________ Translated from Khimiya Prirodnykh Soedinenii, No. 1, pp. 21–23, January–February, 2008.     

Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

Theoretical and Mathematical Physics - We construct some finitely periodic ground states for the Potts model with competing interactions and a countable set of spin values on the Cayley tree of...     

Flavonoids from the aerial part of <Emphasis Type="Italic">Vicia subvillosa</Emphasis>

The new flavone glucoside viscioside, luteolin-4′-O-β-D-galactopyranoside, in addition to the known flavonoids apigenin, luteolin, quercetin, cinaroside, luteolin-4′-O-β-D-glucoside, and isoquercitrin were isolated from the aerial part of Vicia subvillosa. __________ Translated from Khimiya Prirodnykh Soedinenii, No. 1, pp. 30–31, January–February, 2007.