Thermodynamic cost of Brownian computers in the stochastic thermodynamics of resetting

Abstract

We analyze the thermodynamic cost of a logically reversible Brownian Turing machine operating in the first-passage time protocol based on the stochastic thermodynamics of resetting. In this framework, the thermodynamic cost of computation is the reset entropy production, which is interpreted as the information reduction by a resetter external to the computer. At the level of a single trajectory, the reset entropy production is associated with unidirectional transitions and is a function of the time-dependent distribution probability. We analyze an approximation that replaces the distribution probability with the empirical sojourn time, which can be obtained at the single-trajectory level. The approximation is suitable for the numerical analysis by the Gillespie algorithm and provides a reasonable average value for the reset entropy.

arXiv comment13 pages, 5 figures

References in corpus (15)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Experimental realization of diffusion with stochastic resetting
• Information Thermodynamics on Causal Networks
• Stochastic thermodynamics of computation
• Stochastic thermodynamics of resetting
• Work fluctuations and Jarzynski equality in stochastic resetting
• Integral Fluctuation Theorems for Stochastic Resetting Systems
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Entropy production in systems with unidirectional transitions
• Thermodynamic costs of Turing Machines
• Thermodynamics of stochastic Turing machines
• Full Counting Statistics for Number of Electrons Dwelling in a Quantum Dot
• First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions
• An integral fluctuation theorem for systems with unidirectional transitions

Cited by in corpus (4)

• Landauer Principle and Thermodynamics of Computation
• Network analysis for the steady-state thermodynamic uncertainty relation
• Energy-Efficient Pseudo-Ratchet for Brownian Computers through One-Dimensional Quantum Brownian Motion
• Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost