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Dive into the research topics where R. Rossato is active.

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Featured researches published by R. Rossato.


Journal of Mathematical Physics | 2013

Time dependent solutions for a fractional Schrödinger equation with delta potentials

E. K. Lenzi; Haroldo V. Ribeiro; M.A.F. dos Santos; R. Rossato; R. S. Mendes

We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional Schrodinger equation in the presence of delta potentials by using the Green function approach. The solutions obtained show an anomalous spreading asymptotically characterized by a power-law behavior, which is governed by the order of the fractional spatial operator present in the Schrodinger equation.


Brazilian Journal of Physics | 2009

Nonlocal effects on the thermal behavior of non-crystalline solids

E. K. Lenzi; N. G. C. Astrath; R. Rossato; L. R. Evangelista

We argue that nonlocal effects represented by fractionary terms in the kinetic energy can be relevant to achieve a satisfactory phenomenological description of the thermal behavior of the specific heat of non-crystalline solids at very low temperature. We propose a simple model formed by the direct sum of two Hamiltonians, one of which is obtained by incorporating fractional derivatives in the kinetic energy of a conventional Hamiltonian, and the other one accounts for the presence of phonons in the system. Some experimental data are used to support the proposed description.


Physical Review E | 2007

Fractional diffusion equation in a confined region: surface effects and exact solutions.

R. Rossato; Marcelo Kaminski Lenzi; L. R. Evangelista; E. K. Lenzi


Journal of Electroanalytical Chemistry | 2014

A framework to investigate the immittance responses for finite length-situations: Fractional diffusion equation, reaction term, and boundary conditions

E. K. Lenzi; Marcelo Kaminski Lenzi; Fernanda R. G. B. Silva; Giane Goncalves; R. Rossato; Rafael S. Zola; L. R. Evangelista


Physics Letters A | 2008

Results for a fractional diffusion equation with a nonlocal term in spherical symmetry

E. K. Lenzi; Marcelo Kaminski Lenzi; R. Rossato; L. R. Evangelista; L.R. da Silva


Chemical Physics | 2008

Solutions for a fractional diffusion equation with spherical symmetry using Green function approach

L.S. Lucena; L.R. da Silva; L. R. Evangelista; Marcelo Kaminski Lenzi; R. Rossato; E. K. Lenzi


Acta Scientiarum-technology | 2012

Continuous Time Random Walk and different diffusive regimes

Haroldo Valetin Ribeiro; R. Rossato; A. A. Tateishi; E. K. Lenzi; Renio Mendes dos Santos


Electrochimica Acta | 2017

Asymptotic behaviors of the Poisson-Nernst-Planck model, generalizations and best adjust of experimental data

E. K. Lenzi; Rafael S. Zola; R. Rossato; Haroldo V. Ribeiro; Denner S. Vieira; L. R. Evangelista


Journal of Electroanalytical Chemistry | 2015

Electrolytic cell containing different groups of ions with anomalous diffusion approach

Fernanda R. G. B. Silva; R. Rossato; E. K. Lenzi; Rafael S. Zola; Haroldo V. Ribeiro; Marcelo Kaminski Lenzi; Gildarcio Sousa Goncalves


Acta Scientiarum-technology | 2009

Solucoes para a equacao de difusao com um termo ñao-local

E. K. Lenzi; Marcelo Kaminski Lenzi; R. Rossato; Luiz Carlos Martins Filho

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E. K. Lenzi

Universidade Estadual de Maringá

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L. R. Evangelista

Universidade Estadual de Maringá

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Rafael S. Zola

Universidade Estadual de Maringá

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Haroldo V. Ribeiro

Universidade Estadual de Maringá

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Fernanda R. G. B. Silva

Universidade Estadual de Maringá

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Giane Goncalves

Universidade Estadual de Maringá

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Denner S. Vieira

Universidade Estadual de Maringá

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Gildarcio Sousa Goncalves

Instituto Tecnológico de Aeronáutica

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L.R. da Silva

Federal University of Rio Grande do Norte

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