𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ENERGY CONFINEMENT IN IMPERFECT PERIODIC SYSTEMS

✍ Scribed by D. YAP; D. CEBON

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
460 KB
Volume
232
Category
Article
ISSN
0022-460X

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✦ Synopsis

The energy fraction ?TE is developed as a measure of energy con"nement in periodic systems of "nite extent. Based on the response of a system to uniform broadband forcing, ?TE is experimentally measurable but can be expensive to calculate. It is shown that a norm of the eigenvector matrix ?TE is a good approximation for ?TE when damping is light. ?TE is almost three orders of magnitude faster to calculate than ?TE , which makes detailed Monte Carlo studies of imperfections practical. One-dimensional linear-chain and cyclic systems of a range of sizes are studied. In line with previous research, it is found that a periodic system's propensity to con"ne energy increases with system size. It is also found that cyclic systems are less likely to su!er energy con"nement than (otherwise equivalent) linear-chain systems.

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