Convergence rates of Markov chains for some self-assembly and non-saturated Ising models (Q1008719)
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scientific article; zbMATH DE number 5534947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence rates of Markov chains for some self-assembly and non-saturated Ising models |
scientific article; zbMATH DE number 5534947 |
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Convergence rates of Markov chains for some self-assembly and non-saturated Ising models (English)
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30 March 2009
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The authors define the non-saturated Ising model to represent a simple DNA-based self-assembly model consisting of two types of tiles. It is shown that the assembly is efficient at high temperatures, where the stationary distribution allows many ``errors'' or unfavorable neighbors, and the assembly is slow at low temperatures, where errors are much less likely.
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Markov chain
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sampling algoruthm
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Ising model
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self-assembly
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phase transition
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