2010/07/17 by Gerardo Aquino, Mauro Bologna, Paolo Grigolini +1 · 67 citations
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #Ergodic theory #Mathematical analysis #Mathematics #Neural dynamics and brain function #Non-equilibrium thermodynamics #Physics #Singularity #Statistical physics #Statistics #Thermodynamics #cond-mat.stat-mech #physics.data-an #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.105.040601
published in Physical Review Letters 105(4), 040601 (American Physical Society) · 4 pages, 2 figures, 1 table, in press on Phys. Rev. Lett
arxiv created 2010/07/17 · openalex publication_date 2010/07/21 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Nonergodic renewal processes have recently been shown by several authors to be insensitive to periodic perturbations, thereby apparently sanctioning the death of linear response, a building block of nonequilibrium statistical physics. We show that it is possible to go beyond the "death of linear response" and establish a permanent correlation between an external stimulus and the response of a complex network generating nonergodic renewal processes, by taking as stimulus a similar nonergodic process. The ideal condition of 1/f noise corresponds to a singularity that is expected to be relevant in several experimental conditions.