The authors combine first-principles simulations and artificial intelligence algorithms to explore reduction energies, lattice parameters, their statistical correlations in infinite-layer versus perovskite oxides across the periodic table.

The action of Möbius transformations with real coefficients preserves the hyperbolic metric in the upper half-plane model of the hyperbolic plane. The modular group is an interesting group of hyperbolic isometries generated by two Möbius transformations, namely, an order-two element, g2 HzL = -1 ê z, and an element of infinite order, g• HzL = z + 1. Viewing the action of the group elements on a...

A possible inconsistency when a radiative cooling term is incorporated in a finite resolution self-gravitating hydrodynamic code is discussed. The inconsistency appears when the heating-cooling balance within the cooling and collapsing gas cloud is broken near the resolution limit of a numerical code. As the result, the cooling time of a fluid element increases enormously leading to the unphysi...

This paper presents a framework for implementing novel perfectly matching layer and infinite element (PML+IE) combination boundary condition unbounded elastic wave problems in the time domain. To achieve this, traditional hexahedral finite elements are used to model propagation inner domain IE test functions implemented exterior Two alternative implementations of PML formulation studied: case w...

We investigate the contribution made by Raman scattering to the formation of molecular hydrogen in astrophysical environments characteristic of the early stages of the evolution of the universe. In the Raman process that we study, a photon is scattered by a pair of colliding hydrogen atoms leaving a hydrogen molecule that is stabilized by the transfer of kinetic and binding energy to the photon...

This contribution presents the control of a certain kind of mechanical systems based on energy considerations. The plants under investigation are underactuated lumped and distributed parameter systems, which consist of two masses and an elastic element. After a brief introduction of the used mathematical objects, the proposed controller design method is applied to a simple introductory example ...