TBI-Preprint 01-09-053

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Barrier Trees of Degenerate Landscapes

Christoph Flamm, Ivo L. Hofacker, Peter F. Stadler, Michael T. Wolfinger

Appeared in:
Z.Phys.Chem. 216: 155-173 (2002)

The heights of energy barriers separating two (macro-)states are useful for estimating transition frequencies. In non-degenerate landscapes the decomposition of a landscape into basins surrounding local minima connected by saddle points is straightforward and yields a useful definition of macro-states. In this work we develop a rigorous concept of barrier trees for degenerate landscapes. We present a program that efficiently computes such barrier trees, and apply it to two well known examples of landscapes.

Fitness landscape, Potential energy surface, energy barrier, saddle points, degenerate states

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Last modified: Mon Aug 19 18:23:01 CEST 2002