Thermodynamic geometry of minimum-dissipation driven barrier crossing

Abstract

We explore the thermodynamic geometry of a simple system that models the bistable dynamics of nucleic acid hairpins in single molecule force-extension experiments. Near equilibrium, optimal (minimum-dissipation) driving protocols are governed by a generalized linear response friction coefficient. Our analysis and simulations demonstrate that the friction coefficient of the driving protocols is sharply peaked at the interface between metastable regions, which leads to minimum-dissipation protocols that drive rapidly within a metastable basin, but then linger longest at the interface, giving thermal fluctuations maximal time to kick the system over the barrier. Intuitively, the same principle applies generically in free energy estimation (both in steered molecular dynamics simulations and in single-molecule experiments), provides a design principle for the construction of thermodynamically efficient coupling between stochastic objects, and makes a prediction regarding the construction of evolved biomolecular motors.

arXiv comment8 pages, 8 figures

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• Minimal dissipation in processes far from equilibrium
• Differentiable Molecular Simulations for Control and Learning
• Limited-control optimal protocols arbitrarily far from equilibrium
• Optimal Control of Rotary Motors
• Optimal discrete control: minimizing dissipation in discretely driven nonequilibrium systems
• Optimality of non-conservative driving for finite-time processes with discrete states
• Stochastic control in microscopic nonequilibrium systems
• Extrapolating the thermodynamic length with finite-time measurements
• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Thermodynamic Cost for Classical Counterdiabatic Driving
• Multidimensional minimum-work control of a 2D Ising model
• Optimal Control of the F${}_1$-ATPase Molecular Motor
• Solution to the Fokker-Planck equation for slowly driven Brownian motion: Emergent geometry and a formula for the corresponding thermodynamic metric
• Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
• Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
• Efficient two-dimensional control of barrier crossing
• Toward the design principles of molecular machines
• Measure of the density of quantum states in information geometry and its application in the quantum multi-parameter estimation
• Optimal control with a strong harmonic trap
• Optimal control of protein copy number
• Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems
• Analytical solution for optimal protocols of weak drivings
• Bit reset protocols that obey activity-constrained speed limits do not minimize work for a given speed
• Contact geometry and quantum thermodynamics of nanoscale steady states
• Hidden energy flows in strongly coupled nonequilibrium systems
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Multiparameter optimal control of F1-ATPase
• Global thermodynamic manifold for conservative control of stochastic systems
• Optimal finite-time processes in weakly driven overdamped Brownian motion