• Corpus ID: 208512914

On Optimizing Energetic Cost of Noise Reduction in Systems with Negative Feedback

@article{Vishen2019OnOE,
  title={On Optimizing Energetic Cost of Noise Reduction in Systems with Negative Feedback},
  author={Amit Singh Vishen},
  journal={arXiv: Statistical Mechanics},
  year={2019}
}

• A. Vishen
• Published 27 November 2019
• Physics
• arXiv: Statistical Mechanics

Many biological functions require the dynamics to be necessarily driven out-of-equilibrium. In contrast, in various contexts, a nonequilibrium dynamics at fast timescales can be described by an effective equilibrium dynamics at a slower timescale. In this work we study the two different aspects (i) the energy-efficiency trade-off for a specific nonequilibrium linear dynamics of two variables with feedback, and (ii) the cost of effective parameters given by the hidden" dissipation and entropy production rate in the effective equilibrium limit of the dynamics. To meaningfully discuss the trade-off between the energy consumption and the efficiency of the desired function a one-to-one mapping between function(s) and energy input is required. The function considered is the variance. A one-to-one mapping between is obtained by calculating the minimum variance achieved under the constraint of fixed entropy production rate and vice-versa. We find that this minimum variance (entropy production rate) is a monotonically decreasing (increasing) function of the given entropy production rate (variance). When there is a timescale separation, in the effective equilibrium limit, the cost of the effective potential and temperature is the associated "hidden" entropy production rate which depends on the parameters of the fast variables and can be optimized the same way as the full nonequilibrium dynamics.