Phase transition in one-dimensional nearest-neighbor systems

EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION

In this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant ef...

A one dimensional nearest neighbor model of coarsening

High dimensional nearest neighbor searching

As databases increasingly integrate different types of information such as time-series, multimedia and scientific data, it becomes necessary to support efficient retrieval of multi-dimensional data. Both the dimensionality and the amount of data that needs to be processed are increasing rapidly. As a result of the scale and high dimensional nature, the traditional techniques have proven inadequ...

effect of the next-nearest neighbor interaction on the order-disorder phase transition

in this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. the nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. the results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant effect...

Nearest Neighbor Search in High-Dimensional Spaces

Preprocess: a set D of points in R d Query: given a new point q, report a point pD with the smallest distance to q q p Motivation