Fluctuating noise drives Brownian transport
arXiv:1112.5287 · doi:10.1098/rsif.2012.0603
Abstract
The transport properties of Brownian ratchet was studied in the presence of stochastic intensity noise (SIN) in both overdamped and underdamped regimes. In the overdamped case, analytical solution using the matrix continued fraction method revealed the existence of a maximum current when the noise intensity fluctuates on intermediate time scale regions. Similar effects were observed for the underdamped case by Monte Carlo simulations. The optimal time-correlation for the Brownian transport coincided with the experimentally observed time-correlation of the extrinsic noise in Esherichia coli gene expression and implied the importance of environmental noise for molecular mechanisms.
22 pages, 8 figures
References in corpus (12)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Colored extrinsic fluctuations and stochastic gene expression
- Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
- Recycled Noise Rectification: A Dumb Maxwell's Daemon
- Generalized statistical mechanics for superstatistical systems
- Superpositions of Probability Distributions
- A random walker on a ratchet potential: Effect of a non Gaussian noise
- On exact time-averages of a massive Poisson particle
- Escape process and stochastic resonance under noise-intensity fluctuation
- Bistable stochastic processes in the q-exponential family
- Noise-intensity fluctuation in Langevin model and its higher-order Fokker-Planck equation
- Superstatistics of Brownian motion: A comparative study