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The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: I. Basic Results by Griffiths, R. B.; Schellnhuber, H. J.; Urbschat, H. is a scholarly article available to read on EtoBox.

What is The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: I. Basic Results about?

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 springs and placed in a periodic potential consisting of segments from parabolas of identical (positive) curvature but arbitrary height and spacing, is reduced to that of minimizing a certain convex function defined on a finite simplex.

Author

Griffiths, R. B.; Schellnhuber, H. J.; Urbschat, H.

Published

1997

Language

EN