\begin{thebibliography}{10}

\bibitem{duff_particle_2008}
Nathan Duff and Daniel~J. Lacks.
\newblock Particle dynamics simulations of triboelectric charging in granular
  insulator systems.
\newblock {\em Journal of Electrostatics}, 66(1–2):51--57, January 2008.

\bibitem{forward_charge_2009}
Keith~M. Forward, Daniel~J. Lacks, and R.~Mohan Sankaran.
\newblock Charge {Segregation} {Depends} on {Particle} {Size} in
  {Triboelectrically} {Charged} {Granular} {Materials}.
\newblock {\em Physical Review Letters}, 102(2):028001, January 2009.

\bibitem{gouveia_electrostatic_2009}
Rubia~F. Gouveia and Fernando Galembeck.
\newblock Electrostatic {Charging} of {Hydrophilic} {Particles} {Due} to
  {Water} {Adsorption}.
\newblock {\em Journal of the American Chemical Society}, 131(32):11381--11386,
  August 2009.

\bibitem{harper_1967}
W.R. Harper.
\newblock {\em Contact and Frictional Electrification}.
\newblock PhD thesis, Oxford, 1967.

\bibitem{hassani_numerical_2013}
M.~A. Hassani, R.~Zarghami, H.~R. Norouzi, and N.~Mostoufi.
\newblock Numerical investigation of effect of electrostatic forces on the
  hydrodynamics of gas–solid fluidized beds.
\newblock {\em Powder Technology}, 246:16--25, September 2013.

\bibitem{hendrickson_electrostatics_2006}
Gregory Hendrickson.
\newblock Electrostatics and gas phase fluidized bed polymerization reactor
  wall sheeting.
\newblock {\em Chemical Engineering Science}, 61(4):1041--1064, February 2006.

\bibitem{jalalinejad_electro-hydrodynamics_2013}
Farzaneh Jalalinejad.
\newblock Electro-hydrodynamics of gas-solid fluidized beds.
\newblock 2013.

\bibitem{jalalinejad_effect_2012}
Farzaneh Jalalinejad, Xiaotao~T. Bi, and John~R. Grace.
\newblock Effect of electrostatic charges on single bubble in gas–solid
  fluidized beds.
\newblock {\em International Journal of Multiphase Flow}, 44:15--28, September
  2012.

\bibitem{jalalinejad_effect_2015}
Farzaneh Jalalinejad, Xiaotao~T. Bi, and John~R. Grace.
\newblock Effect of electrostatics on interaction of bubble pairs in a
  fluidized bed.
\newblock {\em Advanced Powder Technology}, 26(1):329--334, January 2015.

\bibitem{jones_king_1991}
Thomas~B. Jones and Jack~L. King.
\newblock {\em Powder Handling and Electrostatics}.
\newblock Lewis Publishers Inc., 1991.

\bibitem{kok_electrification_2009}
Jasper~F. Kok and Daniel~J. Lacks.
\newblock Electrification of granular systems of identical insulators.
\newblock {\em Physical Review E}, 79(5):051304, May 2009.

\bibitem{lacks_contact_2011}
Daniel~J Lacks and R~Mohan~Sankaran.
\newblock Contact electrification of insulating materials.
\newblock {\em Journal of Physics D: Applied Physics}, 44(45):453001, November
  2011.

\bibitem{laurentie_discrete_2013}
J.~C. Laurentie, P.~Traoré, and L.~Dascalescu.
\newblock Discrete element modeling of triboelectric charging of insulating
  materials in vibrated granular beds.
\newblock {\em Journal of Electrostatics}, 71(6):951--957, December 2013.

\bibitem{laurentie_numerical_2010}
J.-C. Laurentie, P.~Traoré, C.~Dragan, and L.~Dascalescu.
\newblock Numerical {Modeling} of {Triboelectric} {Charging} of {Granular}
  {Materials} in {Vibrated} {Beds}.
\newblock In {\em 2010 {IEEE} {Industry} {Applications} {Society} {Annual}
  {Meeting} ({IAS})}, pages 1--6, October 2010.

\bibitem{mccarty_electrostatic_2008}
Logan S. McCarty and George M. Whitesides.
\newblock Electrostatic {Charging} {Due} to {Separation} of {Ions} at
  {Interfaces}: {Contact} {Electrification} of {Ionic} {Electrets}.
\newblock {\em Angewandte Chemie International Edition}, 47(12):2188--2207,
  March 2008.

\bibitem{rokkam_computational_2010}
Ram~G. Rokkam, Rodney~O. Fox, and Michael~E. Muhle.
\newblock Computational fluid dynamics and electrostatic modeling of
  polymerization fluidized-bed reactors.
\newblock {\em Powder Technology}, 203(2):109--124, November 2010.

\bibitem{sowinski_investigation_2010}
Andrew Sowinski, Leigh Miller, and Poupak Mehrani.
\newblock Investigation of electrostatic charge distribution in gas–solid
  fluidized beds.
\newblock {\em Chemical Engineering Science}, 65(9):2771--2781, May 2010.

\bibitem{zhao_bipolar_2003}
Huiliang Zhao, G.S.P. Castle, I.I. Inculet, and A.G. Bailey.
\newblock Bipolar charging of poly-disperse polymer powders in fluidized beds.
\newblock {\em IEEE Transactions on Industry Applications}, 39(3):612--618, May
  2003.

\end{thebibliography}
