polycyclic aromatic hydrocarbon (pah) plays an important role in the formation of combustion-generatedparticles such as soot, and their presence in atmosphere aerosols has been widely shown. the formation of five-membered rings, detected in combustion effluent, is of great interest due to their genotoxic activity.the present study reports an investigation of the electronic structure of acenapht...

Starting from the κ-distribution function, obtained by applying the maximal entropy principle to the κ-entropy [G. Kaniadakis, Phys. Rev. E 66 (2002), 056125], we derive the expression of the canonical κ-partition function and discuss its main properties. It is shown that all important macroscopical quantities of the system can be expressed employing only the κ-partition function. The relations...

Abstract Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as counterpart Bowen entropy. In present paper we give systematic study for continuous G -action system $(X,G)$ , where X compact metric space and countable infinite discrete amenable group. We first prove variational principle entropy: any Borel subset Z equals supremum upper local over al...

Abstract In this paper, we address the problem of computing topological entropy a map $\psi : G \to G$ , where is Lie group, given by some power (g) = g^k$ with k positive integer. When abelian, $ an endomorphism and its $h(\psi ) \dim (T(G)) \log (k)$ $T(G)$ maximal torus as shown Patrão [The endomorphisms groups. Israel J. Math. 234 (2019), 55–80]. However, when not no longer these previous r...

The string-black hole correspondence is considered in the context of the correspondence principle proposed recently by Horowitz and Polchinski [7]. We demonstrate that the entropy of string states and the entropy of a Schwarzschild black hole can be matched including the subleading terms which depend on mass logarithmically. We argue the necessity to include the string interaction (with couplin...

In this paper we analyze a single removable and unreliable server in the N policy M/G/1 queueing system in which the server breaks down according to a Poisson process and the repair time obeys an arbitrary distribution. The method of maximum entropy is used to develop the approximate steady-state probability distributions of the queue length in the M/G(G)/1 queueing system, where the second and...

the mechanical aspect of entropy-exergy relationship, together with the thermal aspect usually consid-ered, leads to an extended formulation of physical exergy based on both maximum useful work and maximum useful heat that are the outcome of available energy of a thermodynamic system. this approach suggests that a mechanical entropy can be studied, in addition to the already used thermal entrop...

Abstract. We consider scalar conservation laws with the spatially varying flux H(x)f(u)+(1−H(x))g(u), where H(x) is the Heaviside function and f and g are smooth nonlinear functions. Adimurthi, Mishra, and Veerappa Gowda [J. Hyperbolic Differ. Equ. 2:783–837, 2005] pointed out that such a conservation law admits many L contraction semigroups, one for each so-called connection (A,B). Here we def...

We show that for any discrete finitely-generated group G and any self-adjoint n-tuple X1, . . . , Xn of generators of the group algebra CG, Voiculescu’s non-microstates free entropy dimension δ(X1, . . . , Xn) is exactly equal to β1(G) − β0(G) + 1, where βi are the L Betti numbers of G.