7 citations · 12 across the 11 of their papers we have counts for
11 papers
Newton's algorithm for discrete classical dynamics
Søren Toxvaerd
A recent article in J. Chem. Phys. argues that the two algorithms, the velocity-Verlet, and position-Verlet integrators, commonly used in Molecular Dynamics (MD) simulations, are d…
Milestones at the Origin of Life
Søren Toxvaerd
Living organisms have some common structures, chemical reactions and molecular structures. The organisms consist of cells with cell division, they have homochirality of protein and…
Simulating Physics with Computers
Søren Toxvaerd
Feynman gave in 1982 a keynote speech \textit{Simulating Physics with Computers} (Int. J. Theor. Phys. {\bf 21}, 467 (1982)) in which he talked ``...about the possibility...that th…
Simulations of galaxies in an expanding Universe with modified Newtonian dynamics (MOND) and with modified gravitational attractions (MOGA)
Søren Toxvaerd
The stability of galaxies is either explained by the existence of dark matter or caused by a modification of Newtonian acceleration (MOND). Here we show that the modification of th…
Discrete Newtonian dynamics with Nosé-Hoover thermostats
Søren Toxvaerd
Almost all Molecular Dynamics (MD) simulations are discrete dynamics with Newton's algorithm first published in 1687, and much later by L. Verlet in 1967. Discrete Newtonian dynami…
The energy, temperature, and heat capacity in discrete classical dynamics
Søren Toxvaerd
Simulations of objects with classical dynamics are in fact a particular version of discrete dynamics since almost all the classical dynamics simulations in natural science are perf…
Discrete Molecular Dynamics
S. Toxvaerd
Computer simulation of the time evolution in a classical system is a standard numerical method, used in numerous scientific articles in Natural Science. Almost all the simulations…
The formation and stability of homochiral peptides in aqueous prebiological environment in the Earth's crust
Søren Toxvaerd
The oldest forms of living organisms on Earth are about 3.5 billion years old, and they are found in hydrothermal deposits, and it is often hypothesized that life originated there.…
The stability of galaxies in an expanding universe obtained by Newtonian dynamics
Søren Toxvaerd
The dynamics of galaxies in an expanding universe is often determined for gravitational and dark matter in an Einstein-de Sitter universe, or alternatively by modifying the gravita…
Planetary systems with forces other than gravitational forces
Søren Toxvaerd
A discrete and exact algorithm for obtaining planetary systems is derived in a recent article (Eur. Phys. J. Plus 2022, 137:99). Here the algorithm is used to obtain planetary syst…
An algorithm for coalescence of classical objects and formation of planetary systems
Søren Toxvaerd
Isaac Newton formulated the central difference algorithm (Eur. Phys. J. Plus (2020) 135:267) when he derived his second law. The algorithm is under various names ("Verlet, leap-fro…