Zero temperature limit for interacting Brownian particles. I. Motion of a single body

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We consider a system of interacting Brownian particles in ℝ d with a pairwise potential, which is radially symmetric, of finite range and attains a unique minimum when the distance of two particles becomes a > 0. The asymptotic behavior of the system is studied under the zero temperature limit from both microscopic and macroscopic aspects. If the system is rigidly crystallized, namely if the particles are rigidly arranged in an equal distance a, the crystallization is kept under the evolution in macroscopic time scale. Then, assuming that the crystal has a definite limit shape under a macroscopic spatial scaling, the translational and rotational motions of such shape are characterized.

元の言語English
ページ(範囲)1201-1227
ページ数27
ジャーナルAnnals of Probability
32
発行部数2
DOI
出版物ステータスPublished - 2004 4 1

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ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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