Evidence for non-ergodicity in quiescent states of periodically sheared suspensions
Journal of Chemical Physics
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Schrenk, J., & Frenke, D. (2015). Evidence for non-ergodicity in quiescent states of periodically sheared suspensions. Journal of Chemical Physics, 143 (241103)https://doi.org/10.1063/1.4938999
We present simulations of an equilibrium statistical-mechanics model that uniformly samples the space of quiescent states of a periodically sheared suspension. In our simulations, we compute the structural properties of this model as a function of density. We compare the results of our simulations with the structural data obtained in the corresponding non-equilibrium model of Corté et al. [Nat. Phys. 4, 420 (2008)]. We find that the structural properties of the non-equilibrium model are very different from those of the equilibrium model, even though the two models have exactly the same set of accessible states. This observation shows that the dynamical protocol does not sample all quiescent states with equal probability. In particular, we find that, whilst quiescent states prepared in a non-equilibrium protocol can be hyperuniform [see Phys. Rev. Lett. 114, 110602 (2015), Phys. Rev. Lett. 114, 148301 (2015), and Phys. Rev. Lett. 115, 108301 (2015)], ergodic sampling never leads to hyperuniformity. In addition, we observe ordering phase transitions and a percolation transition in the equilibrium model that do not show up in the non-equilibrium model. Conversely, the quiescent-to-diffusive transition in the dynamical model does not correspond to a phase transition, nor a percolation transition, in the equilibrium model.
This work was supported by ERC Advanced Grant 227758 (COLSTRUCTION), EPSRC Programme Grant EP/I001352/1 and by the Swiss National Science Foundation (Grant No. P2EZP2-152188 and No. P300P2- 161078). K.J.S. acknowledges useful discussions with Nuno Araújo, Tristan Cragnolini, Daphne Klotsa, Erik Luijten, Stefano Martiniani, Anđela Šarić, Iskra Staneva, Jacob Stevenson, and Peter Wirnsberger.
European Research Council (227758)
External DOI: https://doi.org/10.1063/1.4938999
This record's URL: https://www.repository.cam.ac.uk/handle/1810/252981