Correlated oxides, such as ${\mathrm{BiMnO}}_{3}$ and ${\mathrm{LaMnO}}_{3}$, show a complex interplay of electronic correlations crystal structure exhibiting multiple first-order phase transitions, some without clear order parameter. The quantitative theoretical description this temperature-dependent electronic-structural in the vicinity Mott transition is still challenge. Here we address issu...

Correlated oxides, such as ${\mathrm{BiMnO}}_{3}$ and ${\mathrm{LaMnO}}_{3}$, show a complex interplay of electronic correlations crystal structure exhibiting multiple first-order phase transitions, some without clear order parameter. The quantitative theoretical description this temperature-dependent electronic-structural in the vicinity Mott transition is still challenge. Here we address issu...

-One-dimensional cable theory provides the theoretical framework to evaluate the role of linear electrical membrane properties and dendritic geometry in neuronal signal reception and processing. This article presents the basic physical principles as well as mathematical problems arising in neuronal modelling. The main types of passive dendritic neuron models are reviewed and their use in explor...

In this article, the effect of the nonextensivity parameter on the energy fluctuations of nonextensive systems is studied in two different versions of the Tsallis statistical mechanics. Once a general expression has been reported for the energy fluctuations in the second version (Tsallis work in 1988), the energy fluctuations of an ideal gas and a harmonic oscillator are studied in the second a...

The validity of maximum hardness, minimum electrophilicity and minimum polarizability principles is assessed to explain the phenomenon of torquoselectivity (inward and outward preference) in the conrotatory ring opening reactions of trans-3,4-dimethylcyclobutene into Z,Z- and E,E-butadienes and 3-formylcyclobutene into E- and Z-2,4-pentadienals. The hardness, average polarizability and electrop...

The nearness diagram (ND) navigation method is a reactive navigation method used for obstacle avoidance in which five different robot-environment states are defined and five corresponding actions are designed carefully. In the ND+ navigation method, one more robot-environment state is added and all action equations are reformed to both achieve smoother robot motions and reduce manual parameter ...

Phase transitions in open quantum systems, which are associated with the formation of collective states of a large width and of trapped states with rather small widths, are related to exceptional points of the Hamiltonian. Exceptional points are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. In the present paper this paramete...