Finite-time Landauer principle

Abstract

We study the thermodynamic cost associated with the erasure of one bit of information over a finite amount of time. We present a general framework for minimizing the average work required when full control of a system's microstates is possible. In addition to exact numerical results, we find simple bounds proportional to the variance of the microscopic distribution associated with the state of the bit. In the short-time limit, we get a closed expression for the minimum average amount of work needed to erase a bit. The average work associated with the optimal protocol can be up to a factor of four smaller relative to protocols constrained to end in local equilibrium. Assessing prior experimental and numerical results based on heuristic protocols, we find that our bounds often dissipate an order of magnitude less energy.

References in corpus (9)

• High-precision test of Landauer's principle in a feedback trap
• Optimal finite-time processes in stochastic thermodynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Optimal driving of isothermal processes close to equilibrium
• Erasure without work in an asymmetric, double-well potential
• Finite-time erasing of information stored in fermionic bits
• Optimal finite-time bit erasure under full control
• Thermodynamic interpretation of Wasserstein distance
• Shortcuts to Thermodynamic Computing: The Cost of Fast and Faithful Erasure

Cited by in corpus (1)

• Optimal finite-time bit erasure under full control