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20052025
most citedMean-field driven first-order phase transitions in systems with long-range interactions

51 citations · 243 across the 25 of their papers we have counts for

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Showing 2012 · math-phShow all

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math-ph2012

Random Field Induced Order in Low Dimension I

Nicholas Crawford

Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We prove that the model defined on with nearest neighbor couplin…

math-ph2012★ 19 cited

Random Field Induced Order in Low Dimension

Nicholas Crawford

Consider the behavior of a classical O(n) model in a weak random external field acting along some -dimensional subspace in with . We show rigorously that if ,…