2007/11/30 by Giovanni Volpe, Jan Wehr, Dmitri Petrov +2
Computer Science · Physics and Astronomy · #Brownian motion #Control theory (sociology) #Mechanical and Optical Resonators #Modulation (music) #Noise (video) #Particle (ecology) #Quantum Information and Cryptography #Quantum noise #Task (project management) #Thermal #Thermal fluctuations #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8113/42/9/095005
published as Giovanni Volpe et al 2009 J. Phys. A: Math. Theor. 42 095005 (8pp) · 6 pages
arxiv created 2008/10/02 · openalex publication_date 2009/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In order to stabilize the behavior of noisy systems, confining it around a desirable state, an effort is required to suppress the intrinsic noise. This noise suppression task entails a cost. For the important case of thermal noise in an overdamped system, we show that the minimum cost is achieved when the system control parameters are held constant: any additional deterministic or random modulation produces an increase of the cost. We discuss the implications of this phenomenon for those overdamped systems whose control parameters are intrinsically noisy, presenting a case study based on the example of a Brownian particle optically trapped in an oscillating potential.