2019/11/30 by Amit Singh Vishen
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Dissipation #Economics #Entropy (arrow of time) #Entropy production #Large deviations theory #Limit (mathematics) #Mathematics #Monotonic function #Non-equilibrium thermodynamics #Physics #Rate function #Statistical physics #Thermodynamics #Variance (accounting) #Work (physics) #cond-mat.soft #cond-mat.stat-mech #physics.bio-ph #q-bio.OT #stochastic dynamics and bifurcation #thermodynamics and calorimetric analyses
paper · pdf · doi:10.1103/physreve.102.052405
published in Physical review. E 102(5), 052405 (American Physical Society) · 8 pages, 4 figures
arxiv created 2020/10/27 · openalex publication_date 2020/11/09 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many biological functions require 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 two different aspects: (i) the energy-efficiency tradeoff for a specific nonequilibrium linear dynamics of two variables with feedback and (ii) the cost of effective parameters in a coarse-grained theory as given by the "hidden" dissipation and entropy production rate in the effective equilibrium limit of the dynamics. To meaningfully discuss the tradeoff between 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 in this work is the variance of one of the variables. We get a one-to-one mapping by considering the minimum variance obtained for a fixed entropy production rate and vice versa. We find that this minimum achievable variance is a monotonically decreasing function of the given entropy production rate. 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.