Publications [#359023] of Patrick Charbonneau

Papers Published

1. Charbonneau, B; Charbonneau, P; Hu, Y; Yang, Z, High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas., Physical review. E, vol. 104 no. 2-1 (August, 2021), pp. 024137 [doi]
   (last updated on 2026/01/19)

   Abstract:
   The random Lorentz gas (RLG) is a minimal model for transport in disordered media. Despite the broad relevance of the model, theoretical grasp over its properties remains weak. For instance, the scaling with dimension d of its localization transition at the void percolation threshold is not well controlled analytically nor computationally. A recent study [Biroli et al., Phys. Rev. E 103, L030104 (2021)2470-004510.1103/PhysRevE.103.L030104] of the caging behavior of the RLG motivated by the mean-field theory of glasses has uncovered physical inconsistencies in that scaling that heighten the need for guidance. Here we first extend analytical expectations for asymptotic high-d bounds on the void percolation threshold and then computationally evaluate both the threshold and its criticality in various d. In high-d systems, we observe that the standard percolation physics is complemented by a dynamical slowdown of the tracer dynamics reminiscent of mean-field caging. A simple modification of the RLG is found to bring the interplay between percolation and mean-field-like caging down to d=3.