In a study on the structure–dependency of the total π-electron energy from 1972, Trinajstić and one of the present authors have shown that it depends on the sums ∑ v∈V d(v) 2 and ∑ v∈V d(v) , where d(v) is the degree of a vertex v of the underling molecular graph G. The first sum was later named first Zagreb index and over the years became one of the most investigated graph–based molecular stru...

Weakly nonlinear composite conductors are characterized by position-dependent dissipation potentials expressible as an additive composition of a quadratic potential and nonquadratic weighted small parameter. This form carries over to the effective when expanded first order in However, first-order correction this asymptotic expansion depends only on zeroth-order values local fields, namely, fiel...

The Müller-Israel-Stewart second-order theory of relativistic imperfect fluids based on Grad's moment method is used to study the expansion of hot matter produced in ultrarelativistic heavy-ion collisions. The temperature evolution is investigated in the framework of the Bjorken boost-invariant scaling limit. The results of these second-order theories are compared to those of first-order theori...

It has been known that the Schwarzschild-de Sitter (Sch-dS) black hole may not be in thermal equilibrium and also found to thermodynamically unstable standard thermodynamics. In present work, we investigate possibility realize thermodynamical stability of Sch-dS as an effective system by using R\'{e}nyi statistics, which includes non-extensive nature holes. Our results indicate non-extensivity ...

Recent works on three-planet mean motion resonances (MMRs) have highlighted their importance for understanding the details of dynamics planet formation and evolution. While two-planet MMRs are well understood approximately described by a one degree freedom Hamiltonian, little is known exact three-bodies besides cases zeroth-order or when body test particle. In this work, I propose first general...