2005
DOI: 10.1063/1.1906216
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Time reversible and symplectic integrators for molecular dynamics simulations of rigid molecules

Abstract: Molecular dynamics integrators are presented for translational and rotational motion of rigid molecules in microcanonical, canonical, and isothermal-isobaric ensembles. The integrators are all time reversible and are also, in some approaches, symplectic for the microcanonical ensembles. They are developed utilizing the quaternion representation on the basis of the Trotter factorization scheme using a Hamiltonian formalism. The structure is similar to that of the velocity Verlet algorithm. Comparison is made wi… Show more

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Cited by 167 publications
(150 citation statements)
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“…This potential has a simple form of i=1,2 1/r 12 i with r i as the distance between the center of mass of each base pair and the ith rigid wall. The equations of motion for each base pair are integrated via a symplectic algorithm [13] and the Nose-Hoover chain thermostat is used to achieve the canonical ensemble at room temperature. After giving enough time for relaxation, we generated an ensemble of two-dimensionally confined DNA molecules.…”
Section: Methodsmentioning
confidence: 99%
“…This potential has a simple form of i=1,2 1/r 12 i with r i as the distance between the center of mass of each base pair and the ith rigid wall. The equations of motion for each base pair are integrated via a symplectic algorithm [13] and the Nose-Hoover chain thermostat is used to achieve the canonical ensemble at room temperature. After giving enough time for relaxation, we generated an ensemble of two-dimensionally confined DNA molecules.…”
Section: Methodsmentioning
confidence: 99%
“…The simulations were performed in the canonical (NVT) ensemble, in which translational and rotational degrees of freedom of rigid bodies were both thermostated using the Nose-Hoover algorithm with chains, as described by Hoover [54] and Martyna et al [55,56]; the rigid-body algorithm for NVT integration is explained elsewhere [57]. A Verlet time integrator was utilized with time step equal to 1 fs.…”
Section: Modelling Gas Adsorption and Simulation Of Internal Energy Bmentioning
confidence: 99%
“…al. 13 . The O-H bonds and H-O-H angles on the TIP4P-ice waters were constrained according to the SHAKE algorithm (convergence tolerance 1.0E-5 achieved over a maximum of 50 iterations).…”
Section: Molecular Dynamics Simulationsmentioning
confidence: 99%