1105.5456 (Sosuke Ito et al.)

Effects of error on fluctuations under feedback control    [PDF]

Sosuke Ito, Masaki Sano

We consider a one-dimensional Brownian motion under nonequilibrium feedback
control. Generally, the fluctuation-dissipation theorem (FDT) is violated in
driven systems under nonequilibrium conditions. We find that the degree of the
FDT violation is bounded by the mutual information obtained by the feedback
system when the feedback protocol includes measurement errors. We introduce two
simple models to illustrate cooling processes by feedback control and
demonstrate analytical results for the cooling limit in those systems.
Especially in a steady state, lower bounds to the effective temperature are
given by an inequality similar to the Carnot efficiency.

View original: http://arxiv.org/abs/1105.5456