Search results for "Path integral molecular dynamics"

showing 3 items of 3 documents

On new efficient algorithms for PIMC and PIMD

2002

Abstract The properties of various algorithms, estimators, and high-temperature density matrix (HTDM) decompositions relevant for path integral simulations are discussed. It is shown that Fourier accelerated path integral molecular dynamics (PIMD) completely eliminates slowing down with increasing Trotter number P . A new primitive estimator of the kinetic energy for use in PIMD simulations is found to behave less pathologically than the original virial estimator. In particular, its variance does not increase significantly with P . Two non-primitive HTDM decompositions are compared as well: one decomposition used in the Takahashi Imada algorithm and another one based on an effective propaga…

Density matrixAutocorrelationGeneral Physics and AstronomyPropagatorEstimatorGeometryVirial theoremsymbols.namesakeFourier transformHardware and ArchitecturePath integral molecular dynamicsPath integral formulationsymbolsStatistical physicsMathematicsComputer Physics Communications
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Many-body quantum dynamics by adiabatic path-integral molecular dynamics: Disordered Frenkel Kontorova models

2005

The spectral density of quantum mechanical Frenkel Kontorova chains moving in disordered, external potentials is investigated by means of path-integral molecular dynamics. If the second moment of the embedding potential is well defined (roughness exponent ), there is one regime in which the chain is pinned (large masses of chain particles) and one in which it is unpinned (small ). If the embedding potential can be classified as a random walk on large length scales ( ), then the chain is always pinned irrespective of the value of . For , two phonon-like branches appear in the spectra.

PhysicsMolecular dynamicsCondensed matter physicsHardware and ArchitectureLuttinger liquidQuantum dynamicsQuantum mechanicsPath integral molecular dynamicsGeneral Physics and AstronomySecond moment of areaAdiabatic processRandom walkQuantumComputer Physics Communications
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Correction: “On-the-fly” coupled cluster path-integral molecular dynamics: impact of nuclear quantum effects on the protonated water dimer

2015

We present an accelerated ab initio path-integral molecular dynamics technique, where the interatomic forces are calculated “on-the-fly” by accurate coupled cluster electronic structure calculations. In this way not only dynamic electron correlation, but also the harmonic and anharmonic zero-point energy, as well as tunneling effects are explicitly taken into account. This method thus allows for very precise finite temperature quantum molecular dynamics simulations. The predictive power of this novel approach is illustrated on the example of the protonated water dimer, where the impact of nuclear quantum effects on its structure and the 1H magnetic shielding tensor are discussed in detail.

Water dimerElectronic correlationChemistryAb initioGeneral Physics and AstronomyElectronic structureMolecular physicsMolecular dynamicsCoupled clusterQuantum mechanicsPath integral molecular dynamicsPhysical and Theoretical ChemistryAtomic physicsQuantum tunnellingPhysical Chemistry Chemical Physics
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