13
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Classical pendulum clocks break the thermodynamic uncertainty relation

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          A mechanical clock, such as a pendulum clock, uses an escapement to couple the motion of an oscillator to regulate the motion of another degree of freedom (a "hand") driven by an external force. Clocks built after this principle can yield high precision at low energetic cost. They provide a counterexample to the thermodynamic uncertainty relation, which is thus shown not to hold for systems undergoing driven Brownian diffusion with inertia. Considering a thermodynamically consistent, discrete model for an escapement mechanism, we first show that the oscillations of an underdamped harmonic oscillator in thermal equilibrium are sufficient to break the thermodynamic uncertainty relation. We then show that this is also the case in simulations of a fully continuous underdamped system with a potential landscape that mimics an escaped pendulum.

          Related collections

          Author and article information

          Journal
          05 October 2021
          Article
          2110.02213
          fe398d83-50f1-4bd3-9214-43fd3a029fa1

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          5 pages, 3 figures + supplementary information
          cond-mat.stat-mech

          Condensed matter
          Condensed matter

          Comments

          Comment on this article