We deal with generalized Melvin-like solutions associated Lie algebras of rank 4 ( $$A_4$$ , $$B_4$$ $$C_4$$ $$D_4$$ $$F_4$$ ). Any solution has static cylindrically symmetric metric in D dimensions the presence four Abelian two-form and scalar fields. The is governed by moduli functions $$H_s(z)$$ $$s = 1,\ldots ,4$$ ) squared radial coordinate $$z=\rho ^2$$ obeying differential equations Toda...

Quantitative theoretical techniques for understanding the substructure of jets at LHC enable new insights into dynamics QCD, and novel approaches to search physics. Recently, there has been a program reformulate jet in terms correlation functions, $\langle \mathcal{E}(\vec n_1) n_2) \cdots n_k) \rangle$, light-ray operators, $\mathcal{E}(\vec n)$, allowing application developed study Conformal ...

Let $$G = K_{n_1,n_2,\cdots ,n_t}$$ be a complete t-partite graph on $$n=\sum _{i=1}^t n_i$$ vertices. The distance between vertices i and j in G, denoted by $$d_{ij}$$ is defined to the length of shortest path j. squared matrix $$\Delta (G)$$ G $$n\times n$$ with $$(i,j)^{th}$$ entry equal 0 if $$i j$$ $$d_{ij}^2$$ \ne . We define energy $$E_{\Delta }(G)$$ sum absolute values its eigenvalues. ...

Abstract A bipartite graph $H = \left (V_1, V_2; E \right )$ with $\lvert V_1\rvert + \lvert V_2\rvert n$ is semilinear if $V_i \subseteq \mathbb {R}^{d_i}$ for some $d_i$ and the edge relation consists of pairs points $(x_1, x_2) \in V_1 \times V_2$ satisfying a fixed Boolean combination s linear equalities inequalities in $d_1 d_2$ variables . We show that k , number edges $K_{k,k}$ -free H a...

Molecular dynamics (MD) simulations are performed to investigate the thermal and mass accommodation coefficients (TAC MAC, respectively) for combination of iron(-oxide) air. The obtained values TAC MAC then used in a point-particle Knudsen model effect chemisorption transition regime on combustion behavior (fine) iron particles. interactions $\mathrm{Fe}$ with $\mathrm{N_2}$ $\mathrm{Fe_xO_y}$ ...

Quantum computing is believed to be particularly useful for the simulation of chemistry and materials, among various applications. In recent years, there have been significant advancements in development near-term quantum algorithms simulation, including VQE many its variants. However, such useful, they need overcome several critical barriers inability prepare high-quality approximations ground...

We describe a procedure to obtain the plasma parameters from I-V Langmuir curve by using Druyvesteyn equation. propose include two new parameters, $q$ and $r$, usual parameters: potential ($V_p$), floating ($V_f$), electron density ($n$), temperature ($T$). These can be particularly useful represent non-Maxwellian distributions. The is based on fit of with $q$-Weibull distribution function, mot...