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.
- Publication:
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Journal of Physics Condensed Matter
- Pub Date:
- July 2000
- DOI:
- 10.1088/0953-8984/12/29/335
- arXiv:
- arXiv:cond-mat/9909381
- Bibcode:
- 2000JPCM...12.6641C
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- doi:10.1088/0953-8984/12/29/335