Renio dos Santos Mendes

Research Interests
Complex Systems, Anomalous Diffusion, Statistical Physics.

Education

• Ph. D. Physics, Universidade de São Paulo (1994).
• Masters Physics, Universidade de São Paulo (1988).
• B. Sc. Physics, Universidade de Brasília (1985).

Appointments

• Associate Professor, Universidade Estadual de Maringá (1989-present)

Current Students

• Leonardo Oliveira Mendes
• Leonardo Ribeiro da Cunha

Former Students

• Andreia Itami da Silva
• Anna Laura Ferreira Lucchi
• Denner Serafim Vieira
• Diego Domingues Lopes
• Edenize Sodré dos Santos
• Fernando Jose Antonio
• Giorgio Bombo Gonçalves
• Giuliano Agostinho Ridolfi
• Jean Hideaki Yamada Passos
• Jesus Mauricio Encinas Riveros

Publications

• Stationary solution and H theorem for a generalized Fokker-Planck equation
  

  Max Jauregui, Anna L. F. Lucchi, Jean H. Y. Passos, Renio S. Mendes, Phys. Rev. E (Accepted, 2021). PDF | DOI

• Gender difference in candidature processes for Brazilian elections
  

  M. Cardoso, R. S. Mendes, J. T. G. Souza, H. V. Ribeiro, Physica A 537, 122525 (2020). PDF | DOI

• Quantifying postural sway dynamics using burstiness and interevent time distributions
  

  Sergio Picoli, Edenize S.D. Santos, Pedro P. Deprá, Renio S. Mendes, Eur. Phys. J. B 92, 156 (2019). PDF | DOI

• Anomalous diffusion behavior in parliamentary presence
  

  Denner S. Vieira, Jesus M. E. Riveros, Max Jauregui, Renio S. Mendes, Phys. Rev. E 99, 042141 (20019). PDF | DOI

• Robustness of sentence length measures in written texts
  

  Denner S. Vieira, Sergio Picoli, Renio S. Mendes, Physica A 506, 749 (2018). PDF | DOI

• Characterization of Time Series Via Rényi Complexity-Entropy Curves
  

  Max Jauregui, Luciano Zunino, Ervin K. Lenzi, Renio S. Mendes, Haroldo V. Ribeiro, Physica A 98, 74 (2018). PDF | DOI

• Power-law relaxation in human violent conflicts
  

  S. Picoli, F. J. Antonio , A. S. Itami, R. S. Mendes, Eur. Phys. J. B 90, 156 (2017). PDF | DOI

• Spatial patterns of dengue cases in Brazil
  

  F. J. Antonio , A. S. Itami, S. Picoli, J. J. V. Teixeira, R. S. Mendes, PLoS ONE 12, e0180715 (2017). PDF | DOI

• Random Walks Associated with Nonlinear Fokker–Planck Equations
  

  R. S. Mendes, E. K. Lenzi, L. C. Malacarne, S. Picoli and M. Jauregui, Entropy 19, 155 (2017). PDF | DOI

• Extensive Characterization of Seismic Laws in Acoustic Emissions of Crumpled Plastic Sheets
  

  Leandro S. Costa, Ervin K. Lenzi, Renio S. Mendes, Haroldo V. Ribeiro, EPL, 114 (2016) 59002. PDF | DOI

• Transient superdiffusion and long-range correlations in the motility patterns of trypanosomatid flagellate protozoa
  

  L. G. A. Alves, D. B. Scariot, R. R. Guimarães, C. V. Nakamura, R. S. Mendes, H. V. Ribeiro, PLoS ONE 11, e0152092 (2016). PDF | DOI

• Scale-adjusted metrics for predicting the evolution of urban indicators and quantifying the performance of cities
  

  L. G. A. Alves, R. S. Mendes, E. K. Lenzi, H. V. Ribeiro, PLoS ONE (2015). PDF | DOI

• Spatial correlations, clustering and percolation-like transitions in homicide crimes
  

  L. G. A. Alves, E. K. Lenzi, R. S. Mendes, H. V. Ribeiro, EPL 111, 18002 (2015). PDF | DOI

• Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes
  

  H. V. Ribeiro, L. S. Costa, L. G. A. Alves, P. A. Santoro, S Picoli, E. K. Lenzi, R. S. Mendes, Phys. Rev. Lett. 115, 025503 (2015). PDF | DOI

• Nonlinear Kramers equation associated with nonextensive statistical mechanics
  

  G. A. Mendes, M. S. Ribeiro, R. S. Mendes, E. K. Lenzi, and F. D. Nobre, Phys. Rev. E 91, 052106 (2015), PDF | DOI

• Solutions for a q-generalized Schrödinger equation of entangled interacting particles
  

  L.G.A. Alves, H.V. Ribeiro, M.A.F. Santos, R.S. Mendes, E.K. Lenzi, Physica A 429 (2015) 35–44, PDF | DOI

• Non-Gaussian center-of-pressure velocity distribution during quiet stance
  

  E. S. D. Santos, S. Picoli, P. P. Deprá and R. S. Mendes, EPL 109 (2015) 48001 PDF | DOI

• Very prolonged practice in block of trials: Scaling of fitness, universality and persistence
  

  A. S. Itami, F. J. Antonio, R. S. Mendes, Physica A 424 (2015) 82-89. PDF | DOI

• Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities
  

  F. J. Antonio, S. de Picoli, J. J. V. Teixeira, R. S. Mendes, PLoS ONE 9, e111015 (2014). PDF | DOI

• Empirical analysis on the connection between power-law distributions and allometries for urban indicators
  

  L. G. A. Alves, H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, Physica A 409, 175 (2014). PDF | DOI

• Universal bursty behaviour in human violent conflicts
  

  S. Picoli, M. del Castillo-Mussot, H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, Sci. Rep. 4, 4773 (2014). PDF | DOI

• Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil
  

  H. V. Ribeiro, F. J. Antonio, L. G. A. Alves, E. K. Lenzi, R. S. Mendes, EPL 104, 69001 (2013). PDF | DOI

• Engagement in the electoral processes: Scaling laws and the role of the political positions
  

  M. C. Mantovani, H. V. Ribeiro, E. K. Lenzi, S. Picoli Jr., R. S. Mendes, Phys. Rev. E 88, 024802 (2013). DOI | PDF

• Time dependent solutions for a fractional Schrödinger equation with delta potentials
  

  E. K. Lenzi, H. V. Ribeiro, M. A. F. Santos, R. Rossato, R. S. Mendes, J. Math. Phys. 54, 082107 (2013). PDF | DOI

• Distance to the scaling law: a useful approach for unveiling relationships between crime and urban metrics
  

  Luiz G. A. Alves, Haroldo V. Ribeiro, Ervin K. Lenzi, Renio S. Mendes, PLoS One 8, e69580 (2013). PDF | DOI

• Antipersistent behavior of defects in a lyotropic liquid crystal during annihilation
  

  H. V. Ribeiro, R. R. Guimarães, R. T. Teixeira-Souza, H. Mukai, P. R. G. Fernandes, E. K. Lenzi, R. S. Mendes, Phys. Rev. E 87, 054501 (2013). PDF | DOI

• Annihilation dynamics of stringlike topological defects in a nematic lyotropic liquid crystal
  

  R. R. Guimarães, R. S. Mendes, P. R. G. Fernandes, H. Mukai, Journal of Physics: Condensed Matter (Accepted, 2013). PDF | DOI

• Scaling laws in the dynamics of crime growth rate
  

  L. G. A. Alves, H. V. Ribeiro, R. S. Mendes, Physica A 392, 2672 (2013). PDF | DOI

• Move-by-move dynamics of the advantage in chess matches reveals population-level learning of the game
  

  H. V. Ribeiro, R. S. Mendes, E. K. Lenzi, M. del Castillo-Mussot, L. A. N. Amaral, PLoS One 8, e54165 (2013). PDF | DOI

• Continuous Time Random Walk and different diffusive regimes
  

  H. V. Ribero, R. Rossato, A. A. Tateishi, E. K. Lenzi, R. S. Mendes, Acta Scientiarum. Technology 34, 201 (2012). PDF | DOI

• Anomalous Decay in Short Time Response of Ternary Mixtures with Ferrofluid
  

  I. M. Laczkowski, H. Mukai, P. R. G. Fernandes, R. S. Mendes, L. R. Evangelista, Braz. J. Phys. 42, 14 (2012). PDF | DOI

• Complexity-Entropy Causality Plane as a Complexity Measure for Two-Dimensional Patterns
  

  H. V. Ribeiro, L. Zunino, E. K. Lenzi, P. A. Santoro, R. S. Mendes, PLoS ONE 7, e40689 (2012). PDF | DOI

• Scale-invariant structure of size fluctuations in plants
  

  S. Picoli Jr., R. S. Mendes, E. K. Lenzi, L. C. Malacarne, Sci. Rep. 2, 328 (2012). PDF | DOI

• Different diffusive regimes, generalized Langevin and diffusion equations
  

  A. A. Tateishi, E. K. Lenzi, L. R. da Silva, H. V. Ribeiro, S. Picoli Jr., R. S. Mendes, Phys. Rev. E 85, 011147 (2012). PDF | DOI

• Complexity-entropy causality plane: A useful approach for distinguishing songs
  

  H. V. Ribeiro, L. Zunino, R. S. Mendes, E. K. Lenzi, Physica A 391, 2421 (2012). PDF | DOI

• Scaling laws and universality in the choice of election candidates
  

  M. C. Mantovani, H. V. Ribeiro, M. V. Moro, S. Picoli Jr., R. S. Mendes, EPL 96, 48001 (2011). PDF | DOI

• Identifying and modeling patterns oftetrapod vertebrate mortality rates in the Gulf of Mexico oil spill
  

  F. J. Antonio, R. S. Mendes, S. M. Thomaz, Aquatic Toxicology 105, 177 (2011). PDF | DOI

• Finite-size effect on the surface deformation thermal mirror method
  

  N.G.C. Astrath, L.C. Malacarne, V.S. Zanuto, M.P. Belancon, R.S. Mendes, M.L. Baesso, and C. Jacinto, J. Opt. Soc. Am. B 28, 1735 (2011) PDF | DOI

• Anomalous diffusion in a symbolic model
  

  H.V. Ribeiro, E.K. Lenzi, R.S. Mendes, and P.A. Santoro, Physica Scripta 83, 045007 (2011) PDF | DOI

• Spreading Patterns of the Influenza A (H1N1) Pandemic
  

  S. Picoli Jr., J. J. V. Teixeira, H. V. Ribeiro, L. C. Malacarne, R. P. B. Santos, R.S. Mendes, PLoS One 8, e17823 (2011). PDF | DOI

• Solutions for a diffusion equation with a backbone term
  

  A.A. Tateishi,E.K. Lenzi, H.V. Ribeiro, L.R. Evangelista, R.S. Mendes, and L.R. Silva, Journal of Statistical Mechanics: Theory and Experiment, P02022 (2011) PDF | DOI

• The soundscape dynamics of human agglomeration
  

  H. V. Ribeiro, R. T. Souza, E. K. Lenzi, R. S. Mendes, L. R. Evangelista, New Journal of Physics 13, 023028 (2011). PDF | DOI

• On the dynamics of bubbles in boiling water
  

  H. V. Ribeiro, R. S. Mendes, E. K. Lenzi, M. P. Belancon, L. C. Malacarne, Chaos Solitons Fractals 44, 178 (2011). PDF | DOI

• Universal patterns in sound amplitudes of songs and music genres
  

  R. S. Mendes, H. V. Ribeiro, F. C. M. Freire, A. A. Tateishi, E. K. Lenzi, Phys. Rev. E 83, 017101 (2011). PDF | DOI

• Earthquake-like patterns of acoustic emission in crumpled plastic sheets
  

  R. S. Mendes, L. C. Malacarne, R. P. B. Santos, H. V. Ribeiro and S. Picoli Jr., EPL, 92, 29001 (2010). PDF | DOI

• Continuous-time random walk as a guide to fractional Schrödinger equation
  

  E. K. Lenzi, H. V. Ribeiro, H. Mukai, R. S. Mendes, JOURNAL OF MATHEMATICAL PHYSICS 51, 092102 (2010). PDF | DOI

• A continuous time random walk model with multiple characteristic times
  

  K. S. Fa, R. S. Mendes, J. Stat. Mech. P04001 (2010). PDF | DOI

• Dynamics of tournaments: the soccer case
  

  H. V. Ribeiro, R. S. Mendes, L. C. Malacarne, S. Picoli Jr., P. A. Santoro, Eur. Phys. J. B 75, 327 (2010). PDF | DOI

• Analytical solution for mode-mismatched thermal lens spectroscopy with sample-fluid heat coupling
  

  L. C. Malacarne, N. G. C. Astrath, P. R. B. Pedreira, R. S. Mendes, M. L. Baesso, P. R. Joshi, S. E. Bialkowski,
  JOURNAL OF APPLIED PHYSICS 107, 053104 (2010). PDF | DOI

• Critical exponents for Fréedericskz transition in nematics between concentric cylinders
  

  R. T. de Souza, J. C. Dias, R. S. Mendes, L. R. Evangelista,
  Physica A 389, 945 (2010). PDF | DOI

• Symbolic Sequences and Tsallis Entropy
  

  H. V. Ribeiro, E. K. Lenzi, R. S. Mendes, G. A. Mendes, L. R. da Silva, Brazilian Journal of Physics 39, 444 (2009). PDF | DOI

• q-distributions in complex systems: a brief review
  

  S. Picoli Jr., R. S. Mendes, L. C. Malacarne, R. P. B. Santos, Brazilian Journal of Physics 39, 468 (2009). PDF | DOI

• Solutions for a fractional nonlinear diffusion equation with external force and absorbent term
  

  E. K. Lenzi, M. K. Lenzi, L. R. Evangelista, L. C. Malacarne, R. S. Mendes, Journal of Statistical Mechanics: Theory and Experiment 2009, P02048 (2009). PDF | DOI

• Generalized entropy indices to measure α- and β-diversities of macrophytes
  

  H. B. A. Evangelista, S. M. Thomaz, R. S. Mendes, L. R. Evangelista, Brazilian Journal of Physics 39, 396 (2009). PDF | DOI