An algebraic, energy conserving formulation of classical molecular and Newtonian $n$-body interaction

An Algebraic, Energy Conserving Formulation of Classical Molecular and Newtonian «body Interaction

Energy-Conserving Algorithms for a Corotational Formulation

Standard nonlinear schemes for the the simulation of elastodynamic problems have several shortcomings when considering high-speed rotations. To tackle these problems, we use a corotational framework and a corresponding specific linearization to design new energy-conserving numerical schemes. In the two-dimensional case, an algorithm preserving also angular momentum is presented. The existence o...

Post-Newtonian N -body simulations

We report on the first fully consistent conventional cluster simulation which includes terms up to post Newtonian in the potential of the massive body. Numerical problems for treating extremely energetic binaries orbiting a single massive object are circumvented by employing the special “wheel-spoke” regularization method of Zare (1974) which has not been used in large-N simulations before. Ide...

An energy-conserving formalism for adaptive gravitational force softening in SPH and N−body codes

In this paper we describe an adaptive softening length formalism for collisionless N−body and self-gravitating Smoothed Particle Hydrodynamics (SPH) calculations which conserves momentum and energy exactly. This means that spatially variable softening lengths can be used in N−body calculations without secular increases in energy. The formalism requires the calculation of a small additional term...

Retarded N - Body Dispersion Potential : Molecular QED Formulation

for 54 Sanibel Symposium, Saint Simons Island, GA 16-21 Feb., 2014 Retarded N-Body Dispersion Potential: Molecular QED Formulation J. Aldegunde and A. Salam 1 Department of Physical Chemistry, University of Salamanca, 37008 Salamanca, Spain 2 Department of Chemistry, Wake Forest University, Winston-Salem, NC 27109, USA A well-known success of the theory of non-relativistic quantum electrodynami...