Now showing items 1-12 of 12

    • A nontrivial critical fixed point for replica-symmetry-breaking transitions 

      Charbonneau, Patrick; Yaida, Sho (2017-04-01)
      The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida-Thouless transition for spin glasses in ...
    • Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model 

      Liu, J-G; Lu, Jianfeng; Margetis, D; Marzuola, Jeremy (2017-04-23)
      In the absence of external material deposition, crystal surfaces usually relax to become flat by decreasing their free energy. We study an asymmetry in the relaxation of macroscopic plateaus, facets, of a periodic surface ...
    • Breaking the glass ceiling: Configurational entropy measurements in extremely supercooled liquids 

      Berthier, Ludovic; Charbonneau, Patrick; Coslovich, Daniele; Ninarello, Andrea; Ozawa, M; Yaida, Sho (2017-06-01)
      Liquids relax extremely slowly on approaching the glass state. One explanation is that an entropy crisis, due to the rarefaction of available states, makes it increasingly arduous to reach equilibrium in that regime. Validating ...
    • Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions 

      Charbonneau, Patrick; Berthier, Ludovic; Kundu, Joyjit
      The recent implementation of a swap Monte Carlo algorithm (SWAP) for polydisperse mixtures fully bypasses computational sluggishness and closes the gap between experimental and simulation timescales in physical dimensions ...
    • Correlation lengths in quasi-one-dimensional systems via transfer matrices 

      Charbonneau, Patrick; Hu, Yi; Fu, Lin (Molecular Physics, 2018-06)
      © 2018 Informa UK Limited, trading as Taylor & Francis Group. Using transfer matrices up to next-nearest-neighbour interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined ...
    • Dynamics around the Site Percolation Threshold on High-Dimensional Hypercubic Lattices 

      Charbonneau, Patrick; Biroli, Giulio; Hu, Yi
      Recent advances on the glass problem motivate reexamining classical models of percolation. Here, we consider the displacement of an ant in a labyrinth near the percolation threshold on cubic lattices both below and above ...
    • Lecture Notes on the Statistical Mechanics of Disordered Systems 

      Charbonneau, Patrick (2017-08-23)
      This material complements David Chandler's Introduction to Modern Statistical Mechanics (Oxford University Press, 1987) in a graduate-level, one-semester course I teach in the Department of Chemistry at Duke University. ...
    • Lyapunov exponent and susceptibility 

      Charbonneau, Patrick; Li, Y; Pfister, HD; Yaida, Sho (2017-08-23)
      Lyapunov exponents characterize the chaotic nature of dynamical systems by quantifying the growth rate of uncertainty associated with imperfect measurement of the initial conditions. Finite-time estimates of the exponent, ...
    • Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class 

      Charbonneau, Patrick; Hu, Yi; Raju, Archishman; Sethna, James P; Yaida, Sho
      A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of ...
    • The Jamming point street-lamp in the world of granular media 

      Behringer, Robert P; Coulais, C; Dauchot, O
      The Jamming of soft spheres at zero temperature, the J-point, has been extensively studied both numerically and theoretically and can now be considered as a safe location in the space of models, where a street lamp has been ...
    • Trajectory stratification of stochastic dynamics 

      Tempkin, JOB; Koten, BV; Mattingly, Jonathan Christopher; Dinner, AR; Weare, J (2016)
      We present a general mathematical framework for trajectory stratification for simulating rare events. Trajectory stratification involves decomposing trajectories of the underlying process into fragments limited to restricted ...
    • Zero-temperature glass transition in two dimensions 

      Charbonneau, Patrick; Berthier, Ludovic; Ninarello, Andrea; Ozawa, Misaki; Yaida, Sho
      The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are ...