Distribution of attraction basins in a family of simple glasses

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

We study the distribution of attraction basins as a function of energy in simple glasses. We find that it is always broad. Furthermore, we identify two types of glass, both with an exponentially large number of metastable states. In one type the largest attraction basin is exponentially small, whereas in the other it is polynomially small in the system size N. If there exists a tuning parameter that connects one regime with another, then these two phases are separated by a critical point. We discuss implications for optimization problems.

Original languageEnglish (US)
Pages (from-to)6641-6653
Number of pages13
JournalJournal of Physics Condensed Matter
Volume12
Issue number29
DOIs
StatePublished - Jul 24 2000
EventICTP-NIS Conference on 'Unifying Concepts in Glass Physics' - Trieste, Italy
Duration: Sep 15 1999Sep 18 1999

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attraction
Glass
glass
metastable state
critical point
Tuning
tuning
optimization
energy

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Materials Science(all)

Cite this

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title = "Distribution of attraction basins in a family of simple glasses",
abstract = "We study the distribution of attraction basins as a function of energy in simple glasses. We find that it is always broad. Furthermore, we identify two types of glass, both with an exponentially large number of metastable states. In one type the largest attraction basin is exponentially small, whereas in the other it is polynomially small in the system size N. If there exists a tuning parameter that connects one regime with another, then these two phases are separated by a critical point. We discuss implications for optimization problems.",
author = "Premala Chandra and Lev Ioffe",
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Distribution of attraction basins in a family of simple glasses. / Chandra, Premala; Ioffe, Lev.

In: Journal of Physics Condensed Matter, Vol. 12, No. 29, 24.07.2000, p. 6641-6653.

Research output: Contribution to journalConference article

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