Papers and links on Brownian ratchets.

• The original papers on the paradox are by Derek Abbott and Greg Harmer from the University of Adelaide (Australia). Here are their home pages:
  • D. Abbott
  • G. Harmer
• Here you can find Greg's page on Brownian ratchets and the games, with references, and links to the original papers.
• Here you can find a very complete list of links on Parrondo's paradox an Braess' paradox.

     

• ABCNEWS.com : Who's Counting: Winning at Losing Games  an article on the games by by John A. Paulos
• A Java applet illustrating the paradox by Asher (UCSD).
  

• A Java applet simulating the games by Lee Spector, from Hampshire College.
• Brownian motor  (by Franz-Josef Elmer) A very nice Java applet simulating the flashing ratchet in which the games are inspired. Some theoretical explanations and references are included.
  

• Some other papers on ratchets:
  
  • Juegos paradójicos y máquinas térmicas brownianas.
    (submitted, in spanish). J.M.R. Parrondo y B. Jiménez.
    (PDF prepprint 300 Kb)
  • Reversible ratchets as Brownian particles in an adiabatically changing periodic potential.
    J.M.R. Parrondo. Phys. Rev. E. 57, 7297 (1998).
    (PDF reprint 106 Kb)
  • Efficiency of Brownian Motors.
    J.M.R. Parrondo, J.M. Blanco, F.J. Cao, and R. Brito. Europhys. Lett. 43, 248 (1998).
    (PDF reprint 256 Kb).
  • Criticism of Feynman's analysis of the ratchet as an engine,
    J.M.R. Parrondo and Pep Español. American Journal of Physics . 64, 1125 (1996).
    (PS preprint 164 Kb) (PS preprint compressed 63 Kb) (HTML version)