Analytical solutions of cubic and quintic polynomials in micro and nanoelectronics using the Lambert-Tsallis Wq function

RV Ramos - Journal of Computational Electronics, 2022 - Springer
There are many problems in nanoelectronics whose solutions are roots of cubic or quintic
polynomials. In most of these cases, the analytical solutions are not known and numerical …

Analytical solution of the current-voltage characteristics of circuits with power-law dependence of the current on the applied voltage using the Lambert-Tsallis W q …

JS de Andrade, KZ Nobrega… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The circuit formed by a diode with series resistance is a basic electronic circuit whose
analytical solution of the electrical current requires the usage of the Lambert function …

[HTML][HTML] The Rq, Q function and the q-diode

RV Ramos - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
Two generalizations of the Lambert W function were recently discussed in the literature, the
Lambert–Tsallis​ W q and the Lambert–Kaniadakis W κ functions. Both of them have been …

The deformed exponential functions of two variables in the context of various statistical mechanics

MS Stanković, SD Marinković, PM Rajković - Applied Mathematics and …, 2011 - Elsevier
In the recent development in various disciplines of physics, it is noted the need for including
the deformed versions of the exponential functions. In last two decades, the Tsallis and …

Study of specific heat of quantum pseudodot under magnetic field

R Khordad - International Journal of Thermophysics, 2013 - Springer
In the present work, the specific heat of a GaAs quantum pseudodot in the presence of an
applied magnetic field is studied. For this purpose, the Tsallis formalism is applied to obtain …

Application of Tsallis formalism to study entropy and specific heat of V-groove quantum wires

R Khordad, R Bornaei, HA Mardani-Fard - Indian Journal of Physics, 2015 - Springer
In this work, we have investigated thermodynamic properties of V-groove quantum wires
using Tsallis formalism. First, the energy levels of the system have been obtained …

Specific heat of a parabolic cylindrical quantum dot in the presence of magnetic field

R Khordad, MA Sadeghzadeh… - Superlattices and …, 2013 - Elsevier
In the present work, the specific heat (at constant volume) of a GaAs cylindrical quantum dot
in the presence of an applied magnetic field is studied. For this purpose, the Tsallis …

A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics

K Addi, S Adly, B Brogliato, D Goeleven - Nonlinear Analysis: Hybrid …, 2007 - Elsevier
A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation
of non-regular circuits in electronics - ScienceDirect Skip to main contentSkip to article Elsevier …

Modeling nonlinear partial differential equations and construction of solitary wave solutions in an inductive electrical line

TT Guy, JR Bogning - Journal of Advances in …, 2019 - article.researchpromo.com
A soliton is considered nowadays as a future wave reason being the fact that it is a stable,
robust and non-dissipative solitary wave. If one uses a soliton as a transmission signal in …

Nonlinear diffusion equation and nonlinear external force: exact solution

PC Assis, PC da Silva, LR da Silva, EK Lenzi… - Journal of …, 2006 - pubs.aip.org
The solutions of the nonlinear diffusion equation∂ t ρ= r 1− ND∂ r {r N− 1− θ ρ γ∂ r [r− η ρ
ν]}− r 1− N∂ r [r N− 1 F ρ] are investigated by considering the presence of an external force …