### Tailoring the S(k) Behaviour of Point Particle Systems

**
Obioma Uche, Princeton University
**

Collective density variables ρ(** k**) have proved to be useful tools in the study of many-body problems in a variety of fields that are concerned with structural and kinematic phenomena. In the present investigation, these variables are utilized as the means of tailoring the structure factor

*S*(

**)**

*k**C*(

**)**

*k***magnitudes at or below a chosen cutoff, to values that are consistent with the minimization of a quadratic objective function, Φ. We use the MINOP optimization technique in order to achieve sets of particle positions for which Φ = 0. The MINOP algorithm minimizes a real valued function given only first**

*k**t*derivative and function information. In general, it applies a dogleg strategy which uses a gradient direction when one is far from a solution, a quasi-Newton direction when one is close, and a linear combination of the two when at intermediate stages.

**Abstract Author(s): **O. U. Uche, F. H. Stillinger, D. K. Stillinger, A. Gabrielli, and S. Torquato