Gumbel distribution and current fluctuations in critical systems

Abstract

We investigate a particular phase transition between two different tunneling regimes, direct and injection (Fowler-Nordheim), experimentally observed in the current-voltage characteristics of the light receptor bacteriorhodopsin (bR). Here, the sharp increase of the current above about 3 V is theoretically interpreted as the cross-over between the direct and injection sequential-tunneling regimes. Theory also predicts a very special behaviour for the associated current fluctuations around steady state. We find the remarkable result that in a large range of bias around the transition between the two tunneling regimes, the probability density functions can be traced back to the generalization of the Gumbel distribution. This non-Gaussian distribution is the universal standard to describe fluctuations under extreme conditions.


Autore Pugliese

Tutti gli autori

  • E. Alfinito , J.F. Millithaler , L. Reggiani

Titolo volume/Rivista

FLUCTUATION AND NOISE LETTERS


Anno di pubblicazione

2012

ISSN

0219-4775

ISBN

Non Disponibile


Numero di citazioni Wos

3

Ultimo Aggiornamento Citazioni

28/04/2018


Numero di citazioni Scopus

4

Ultimo Aggiornamento Citazioni

28/04/2018


Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile