the major reason for the prediction of thermodynamic properties of mercury lies in the fact that itsintermolecular interactions highly depend on temperature and density. internal pressure is a good criterion toinvestigate the density dependence of the interatomic interactions. because its physical base is a forcetending to close together the molecules that is intermolecular interactions, and as...

We discuss massive scalar perturbations of a two-dimensional dilaton black hole. We employ a Pauli-Villars regularization scheme to calculate the effect of the scalar perturbation on the Bekenstein-Hawking entropy. By concentrating on the dynamics of the scalar field near the horizon, we argue that quantum effects alter the effective potential. We calculate the two-point function explicitly and...

In this paper the scalar-tensor theory of gravity is assumed to describe the evolution of the universe and the gravitational scalar φ is ascribed to play the role of inflaton. The theory is characterized by the specified coupling function ω(φ) and the cosmological function λ(φ). The function λ(φ) is nearly constant for 0 < φ < 0.1 and λ(1) = 0. The functions λ(φ) and ω(φ) provide a double-well ...

In this paper, we study gradient Ricci expanding solitons (X, g) satisfying Rc = cg +Df, where Rc is the Ricci curvature, c < 0 is a constant, and Df is the Hessian of the potential function f on X . We show that for a gradient expanding soliton (X, g) with non-negative Ricci curvature, the scalar curvature R has at least one maximum point on X , which is the only minimum point of the potential...

let (m,g ) be a compact immersed hypersurface of (rn+1,) , λ1 the first nonzeroeigenvalue, α the mean curvature, ρ the support function, a the shape operator, vol (m ) the volume of m,and s the scalar curvature of m. in this paper, we established some eigenvalue inequalities and proved theabove.1) 1 2 2 2 2m ma dv dvn∫ ρ ≥ ∫ α ρ ,2)( )2 2 1 2m 1 mdv s dvn nα ρ ≥ ρ∫ − ∫ ,3) if the scalar curvatu...

Abstract Exact black hole solutions in the Einstein–Maxwell-scalar theory are constructed. They extensions of dilaton holes de Sitter or anti universe. As a result, except for scalar potential, coupling function between field and Maxwell invariant is present. Then corresponding Smarr formula first law thermodynamics investigated.

In this work we investigate the effects of a non-minimally coupled quartic order scalar model on static neutron stars, with non-minimal coupling in Jordan frame being form f(?)=1+??2. Particularly derive Einstein Tolman–Oppenheimer–Volkoff equations, and by numerically integrating them for both interior exterior star, using double shooting python 3 based numerical code, extract masses radii sta...

We discuss the phenomenology of colour scalar octet particles. Namely, we consider the discovery potential of scalar octets at LEP, FNAL and LHC. Octet scalars decay mainly into two gluino and new hadrons composed from scalar coloured octets are rather longlived (Γ ≤ O(10)Kev). For the scalar octet masses(M ≥ O(50)Gev) the scalar octets producing at FNAL or LHC will decay into two gluons that l...

A novel methodology for the simulation of 2D thermohaline double diffusive processes, driven by heterogeneous temperature and concentration fields in variable-density saturated porous media, is presented. The stream function is used to describe the flow field and it is defined in terms of mass flux. The partial differential equations governing system is given by the mass conservation equation o...