Constraints on collective density variables: One dimension

Yizhong Fan, Jerome K. Percus, Dorothea K. Stillinger, Frank H. Stillinger

Research output: Contribution to journalArticlepeer-review


Collective density variables (k) are frequently employed in many-body physics to describe a wide variety of static and dynamic phenomena. These variables are nonlinear functions of particle positions, and consequently exhibit subtle couplings and kinematic constraints. We examine some of these features for one-dimensional systems, using both numerical exploration and analytical techniques. In particular we have considered the consequences of quenching density fluctuations [minimizing the (k)s] for sets of wave vectors surrounding the origin. This is shown, under proper circumstances, to force other sets of (k)s automatically to their minima, and even to induce perfect crystallization of the many-particle system.

Original languageEnglish (US)
Pages (from-to)2394-2402
Number of pages9
JournalPhysical Review A
Issue number4
StatePublished - 1991

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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