Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport

@article{Groeneveld2002NegativeAN,
  title={Negative and Nonlinear Response in an Exactly Solved Dynamical Model of Particle Transport},
  author={Jeroen A. Groeneveld and Rainer Klages},
  journal={Journal of Statistical Physics},
  year={2002},
  volume={109},
  pages={821-861}
}
We consider a simple model of particle transport on the line ℝ defined by a dynamical map F satisfying F(x+1)=1+F(x) for all x∈ ℝ and F(x)=ax+b for |x|<1/2. Its two parameters a (“slope”) and b (“bias”) are respectively symmetric and antisymmetric under reflection x→R(x)=−x. Restricting ourselves to the chaotic regime |a|>1 and therein mainly to the part a>1 we study, along the lines of previous investigations [R. Klages and J. R. Dorfman, Phys. Rev. Lett.74:387 (1995)] on the restricted… 

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