The content introduces a new framework of Hessian-free force-gradient integrators that do not require the analytical expression of the force-gradient term based on the Hessian of the potential. These integrators are particularly useful for separable Hamiltonian systems with quadratic kinetic energy, offering more efficient computational processes. The article discusses the derivation and application of these integrators in various scenarios, including molecular dynamics simulations and lattice quantum chromodynamics. By approximating the force-gradient term, these integrators provide accurate numerical approximations with respect to the original system.
לשפה אחרת
מתוכן המקור
arxiv.org
שאלות מעמיקות