• Corpus ID: 211532760

Do spatially non-uniform phases of matter with no long-range order exist?

  title={Do spatially non-uniform phases of matter with no long-range order exist?},
  author={Gyula I. T{\'o}th},
  journal={arXiv: Statistical Mechanics},
  • G. Tóth
  • Published 21 February 2020
  • Mathematics
  • arXiv: Statistical Mechanics
In this Letter, the existence of spatially non-uniform phases with no long-range order is investigated in continuum models of first order phase transitions with quartic non-linearity. The central result of the paper is the development of a mathematical method allowing to find "disordered" solutions (infinite sets of spatially non-uniform analytical solutions with no long range order) to partial differential equations. The new method is applied for the Gaussian measure, and it has been found… 

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