In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering constant magnetic field perpendicular to plane. We mapped problem equivalent commutative one through set of Bopp-shift transformation. The energy spectrum and wave function are found, where question has been Landau problem. Further, within classical limit, have derived semi-classical...

let h be a finite dimensional complex hilbert space, b(h)+ be the set of all positive semi-definite operators on h and phi is a (not necessarily linear) unital map of b(h) + preserving the entropy-gibbs transformation. then there exists either a unitary or an anti-unitary operator u on h such that phi(a) = uau* for any b(h) +. thermodynamics, a branch of physics that is concerned with the study...

some of the adamantane properties were calculated in this study. chemical shift, free energy ofsolvation, free energy of cavity formation, henry's law constant, and other properties ofadamantane in dry phase, three solvents and three temperatures have been calculated with abinitio method base on density functional theory (dft) at b3lyp/6-31g, b31yp/6-31g*, b3lyp/6-31+g* and b3lyp/6-31++g** leve...

Abstract We study the non-perturbative quantum corrections to a Born–Infeld black hole in spherical cavity. These produce non-trivial short distances modification relation between entropy and area of this hole. The correction appears as an exponential term entropy. This turn modifies thermodynamics given system, for example reduced value Helmholtz free energy. Moreover, first law modified due c...

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A numerical method using discontinuous polynomial approximations is formulated for solving a phase-field model of two immiscible fluids with soluble surfactant. The proposed scheme shown to decay the total free Helmholtz energy at discrete level, which consistent continuous dynamics. recovers Langmuir adsorption isotherms equilibrium. Simulations spinodal decomposition, flow through cylinder an...

The phonon Casimir effect describes the phonon-mediated interaction between defects in condensed-matter systems. Using path-integral formalism, we derive a general method for calculating Helmholtz free energy due to vibrational modes systems of arbitrary dimensionality and composition. Our results make it possible extract defect at any temperature various configurations. We demonstrate our appr...

The accuracy of computational models used to simulate, for instance the flow features of atmosphere and ocean, crucially depends on the sets of analytical equations that describe the physical phenomena to be simulated, and on how these analytical equations are discretized to make them suitable for computational calculations. The discrete model should hereby inherit certain conservation properti...

We construct models of Einstein and $f(R)$ gravity with two scalar fields, which admit analytical solutions describing time-varying dynamical black holes. Their thermodynamics is investigated in the adiabatic approximation. In addition to Misner-Sharp-Hernandez quasilocal mass, we provide time-dependent thermodynamical quantities, including Hawking temperature, Helmholtz free energy, entropy, e...