Browsing by Subject "cond-mat.stat-mech"
Now showing items 1-20 of 31
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A nontrivial critical fixed point for replica-symmetry-breaking transitions
(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
(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 ... -
Bayesian reconstruction of memories stored in neural networks from their connectivity
The advent of comprehensive synaptic wiring diagrams of large neural circuits has created the field of connectomics and given rise to a number of open research questions. One such question is whether it is possible ... -
Breaking the glass ceiling: Configurational entropy measurements in extremely supercooled liquids
(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
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 ... -
Characterization and efficient Monte Carlo sampling of disordered microphases.
(The Journal of chemical physics, 2021-06)The disordered microphases that develop in the high-temperature phase of systems with competing short-range attractive and long-range repulsive (SALR) interactions result in a rich array of distinct morphologies, such as ... -
Coherence distillation machines are impossible in quantum thermodynamics
(Nature Communications, 2020-12)The role of coherence in quantum thermodynamics has been extensively studied in the recent years and it is now well-understood that coherence between different energy eigenstates is a resource independent of other ... -
Comment on "kosterlitz-Thouless-type caging-uncaging transition in a quasi-one-dimensional hard disk system"
(Physical Review Research, 2021-09-01)Huerta [Phys. Rev. Research 2, 033351 (2020)2643-156410.1103/PhysRevResearch.2.033351] report a power-law decay of positional order in numerical simulations of hard disks confined within hard parallel walls, which they interpret ... -
Correlation lengths in quasi-one-dimensional systems via transfer matrices
(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
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 ... -
Finite Dimensional Vestige of Spinodal Criticality above the Dynamical Glass Transition.
(Physical review letters, 2020-09)Finite dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted ... -
Finite-size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder.
(Physical review. E, 2021-07)Jamming criticality defines a universality class that includes systems as diverse as glasses, colloids, foams, amorphous solids, constraint satisfaction problems, neural networks, etc. A particularly interesting feature ... -
High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas.
(Physical review. E, 2021-08)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 ... -
Interplay between percolation and glassiness in the random Lorentz gas.
(Physical review. E, 2021-03)The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media that exhibits a continuous localization transition controlled by void space percolation. The RLG also provides a toy model of particle caging, ... -
Lecture Notes on the Statistical Mechanics of Disordered Systems
(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
(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, ... -
Mean-Field Caging in a Random Lorentz Gas.
(The journal of physical chemistry. B, 2021-06-07)The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, d → ∞ limit: the localization transition is then expected to be continuous for the ... -
Memory Formation in Jammed Hard Spheres.
(Physical review letters, 2021-02)Liquids equilibrated below an onset condition share similar inherent states, while those above that onset have inherent states that markedly differ. Although this type of materials memory was first reported in simulations ... -
Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
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 ... -
Non-local SPDE limits of spatially-correlated-noise driven spin systems derived to sample a canonical distribution
We study the macroscopic behavior of a stochastic spin ensemble driven by a discrete Markov jump process motivated by the Metropolis-Hastings algorithm where the proposal is made with spatially correlated (colored) noise, ...
