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Mostrando ítems 1-10 de 46
Hypergeometric foundations of Fokker-Plank like equations
(Elsevier Science, 2016-05)
We discover a deep connection between the Fokker-Planck equation and the hypergeometric differential equation. The same applies to a nonlinear generalization of such equation.
Curl forces and the nonlinear Fokker-Planck equation
(American Physical Society, 2016-12)
Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these evolution equations admit stationary solutions, which are q exponentials of an appropriate potential ...
From the nonlinear Fokker-Planck equation to the Vlasov description and back: Confined interacting particles with drag
(American Physical Society, 2018-02)
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to be valuable tools for the study of diverse complex systems in physics, biology, and other fields. The nonlinearity appearing in these ...
Nonlinear fokker-planck equation approach to systems of interacting particles: Thermostatistical features related to the range of the interactions
(Multidisciplinary Digital Publishing Institute, 2020-02)
Nonlinear Fokker-Planck equations (NLFPEs) constitute useful effective descriptions of some interacting many-body systems. Important instances of these nonlinear evolution equations are closely related to the thermostatistics ...
Nonlinear fokker-planck equation for an overdamped system with drag depending on direction
(Multidisciplinary Digital Publishing Institute, 2021-09)
We investigate a one-dimensional, many-body system consisting of particles interacting via repulsive, short-range forces, and moving in an overdamped regime under the effect of a drag force that depends on direction. That ...
Thermostatistics of overdamped motion with anisotropic drag forces
(EDP Sciences, 2020-03)
We investigate the consequences of anisotropic drag forces for the thermostatistics of systems of interacting particles in the overdamped motion regime. Systems of confined particles interacting via short-range forces and ...
Estudo dos métodos de solução da equação de Fokker-Planck linear e não linear
(Universidade Estadual Paulista (UNESP), 2014)
Non-Markovian model for the study of pitting corrosion in a water pipe system
(World Scientific, 2015-10)
The main studies on pitting consist in proposing Markovian stochastic models, based on the statistics of extreme values and focused on growing the depth of wells, especially the deepest one. We show that a non-Markovian ...
A model for diffusive systems: Beyond the Arrhenius mechanism
(Elsevier Science, 2016-05)
Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the ...
A nonlinear Fokker-Planck description of continuous neural network dynamics
(Springer, 2019)
The nonextensive thermostatistical formalism has been increasingly applied to the description of many complex systems in physics, biology, psychology, economics, and other fields. The q-Maximum Entropy (q-MaxEnt) distributions, ...