作者: M. Scott Shell , Pablo G. Debenedetti , Athanassios Z. Panagiotopoulos
DOI: 10.1103/PHYSREVE.66.056703
关键词: Wang and Landau algorithm 、 Monte Carlo method 、 Density of states 、 Statistical physics 、 Lattice (order) 、 Dynamic Monte Carlo method 、 Inverse 、 Kinetic Monte Carlo 、 Kinetic energy 、 Mathematics
摘要: We present a rigorous derivation for off-lattice implementations of the so-called "random-walk" algorithm recently introduced by Wang and Landau [Phys. Rev. Lett. 86, 2050 (2001)]. Originally developed discrete systems, samples configurations according to their inverse density states using Monte Carlo moves; estimate is refined at each simulation step ultimately used calculate thermodynamic properties. an implementation atomic systems based on separation kinetic configurational contributions states. By constructing "uniform" ensemble degrees freedom-in which all potential energies, volumes, numbers particles are equally probable-we establish framework correct acceptance criteria calculation averages in continuum case. To demonstrate generality our approach, we perform sample calculations Lennard-Jones fluid two variants both cases find good agreement with established literature values vapor-liquid coexistence locus.