A Stochastic Heat Engine Based on Prandtl-Tomlinson Model

Abstract

Stick-slip is a ubiquitous phenomenon in many scientific fields, such as earthquake and glacier dynamics, acoustics, cell biology, interface science and tribology. As a fundamental mechanism of energy dissipation in nanofriction, it can be interpreted by the Prandtl-Tomlinson (PT) model. In this paper we will show that aided by a specifically designed temperature field, stick-slip can be used to extract energy from the environment, i.e. forming a stochastic heat engine based on PT model (PTSHE). Utilizing Langevin dynamics simulation and the framework of stochastic thermodynamics, two mechanisms of work output, i.e. the potential mechanism and the thermolubricity mechanism, are distinguished. An approximate mean cycle work output limit based on the former one is derived, reminiscent of Carnot's limit. The latter one can make the mean cycle work output limit larger than that predicted by the former one while the excess of it can also lead to work output reduction. The mean cycle work curves with respect to the driving velocity is characteristic of PT model in both the PTSHE and nanofriction. The nonlinear bifurcation in zero temperature and the stochastic resonance in finite temperature of the PT model are analyzed preliminarily. With the corrugation number of the PT model increasing, the mean cycle work output limit first increases and then decreases. Besides stick-slip nanofriction and the PTSHE, the PT model is a promising system for studying nonlinear double- or multiple-well dynamics and is valuable to be explored further both theoretically and experimentally.