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cond-mat.stat-mech1997★ 2 cited
The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: II. Numerical Treatment
T. Scheidsteger, H. Urbschat, R. B. Griffiths +1
A procedure is described for efficiently finding the ground state energy and configuration for a Frenkel-Kontorova model in a periodic potential, consisting of N parabolic segments…
cond-mat.stat-mech1997★ 4 cited
The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: I. Basic Results
R. B. Griffiths, H. J. Schellnhuber, H. Urbschat
The problem of finding the exact energies and configurations for the Frenkel-Kontorova model consisting of particles in one dimension connected to their nearest-neighbors by spring…