Newton Trajectories for the tilted Frenkel‐Kontorova model

Newton trajectories are used for the Frenkel-Kontorova model of a finite chain with free-end bound- ary conditions. We optimise stationary structures, as well as barrier breakdown points for a critical tilting force were depinning of the chain happens. These special points can be obtained straight for- wardly by the tool of Newton trajectories. We explain the theory and add examples for a finite-length chain of a fixed number of 2, 3, 4, 5 and 23 particles