Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012
Dorothea K. Stillinger and Frank H. Stillinger
AT&T Bell Laboratories, Murray Hill, New Jersey 07974
Received 21 February 1991
Phys. Rev. A 44, 2394–2402 (1991)
Abstract
| Collective density variables rho (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 rho (k)'s] for sets of wave vectors surrounding the origin. This is shown, under proper circumstances, to force other sets of rho (k)'s automatically to their minima, and even to induce perfect crystallization of the many-particle system. |  |
