Relativistic Brownian motion on a graphene chip
  Relativistic Brownian motion can be inexpensively demonstrated on a graphene chip. The interplay of stochastic and relativistic dynamics, governing the transport of charge carrier in graphene, induces noise-controlled effects such as (i) a stochastic effective mass, detectable as a suppression of the particle mobility with increasing the temperature; (ii) a transverse ratchet effect, measurable as a net current orthogonal to an ac drive on an asymmetric substrate, and (iii) a chaotic stochastic resonance. Such properties can be of practical applications in the emerging graphene technology. 
Andrey Pototsky, Fabio Marchesoni, Feodor V. Kusmartsev, Peter   H\"anggi, Sergey E. Savel'ev
cond-mat.stat-mech quant-ph