2012
Contact percolation transition in athermal particulate systems
Shen T, O'Hern CS, Shattuck MD. Contact percolation transition in athermal particulate systems. Physical Review E 2012, 85: 011308. PMID: 22400566, DOI: 10.1103/physreve.85.011308.Peer-Reviewed Original ResearchConceptsBidisperse particle size distributionsPercolation transitionCompression stepParticle size distributionMechanical responseSystem-spanning clusterDisplacement fieldDilute configurationsApplied stressCooperative particle motionParticle motionIsotropic compressionPercolating networkParticulate systemsElastic energyFrictionless particlesTwo-dimensional systemsUnjammed stateSize distributionDynamical matrixJammed systemsAdjacency matrixSuccessive compressionSpatial dimensionsComputer simulations
2002
Real time path integrals using the Herman–Kluk propagator
Burant J, Batista V. Real time path integrals using the Herman–Kluk propagator. The Journal Of Chemical Physics 2002, 116: 2748-2756. DOI: 10.1063/1.1436306.Peer-Reviewed Original ResearchFull quantum mechanical resultsOne-dimensional potential energy surfaceReal-time path integralsSemiclassical initial value representationHerman-Kluk propagatorQuantum dynamics calculationsTime evolution operatorInverse overlap matrixQuantum mechanical resultsInitial value representationCoherent state representationLong-time dynamicsPotential energy surfaceTwo-dimensional systemsHerman-Kluk semiclassical initial value representationEvolution operatorNonadiabatic dynamicsTime propagatorPath integralEnergy surfaceOverlap matrixQuantitative agreementDynamics calculationsApproximate calculationBasis set
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