Study of the structure of simple liquids and amorphous solids by statistical geometry methods

1987 ◽  
Vol 28 (3) ◽  
pp. 433-446 ◽  
Author(s):  
N. N. Medvedev ◽  
Yu. I. Naberukhin
Keyword(s):  
Amorphous Solids ◽  
Statistical Geometry ◽  
Simple Liquids ◽  
Structure Of Simple Liquids

Random packings and the structure of simple liquids. I. The geometry of random close packing

1970 ◽  
Vol 319 (1539) ◽  
pp. 479-493 ◽  
Keyword(s):  
Hard Spheres ◽  
Real Space ◽  
Close Packing ◽  
Topological Properties ◽  
Statistical Geometry ◽  
Science And Engineering ◽  
Simple Liquids ◽  
Structure Of Simple Liquids ◽  
Structural Descriptions ◽  
Random Packings

In his Bakerian Lecture, Bernal (1964) discussed those ideas of restricted irregularity which are physically realized in random packings of equal hard spheres, with particular reference to the structure of simple liquids. He stressed the need for a science of ‘statistical geometry ’, and took the first steps himself by proposing possible ways of describing such arrays. In this paper, these and other associated ideas are briefly described and extended by deriving an equivalent set of polyhedral subunits essentially inverse to the packing in real space. Examination of two independent high density arrays demonstrates the repro-ducibility of certain metrical and topological properties of these polyhedra, and their correlations over larger elements of volume. As a result, several possible ‘descriptive parameters’ are proposed. Although these essentially ‘numerical’ characteristics facilitate sensitive structural descriptions of any assembly of micro- and macroscopic subunits, we are still unable to characterize an irregular array in formal mathematical terms. Such a formulation of statistical geometry could be a powerful tool for tackling important problems in many branches of science and engineering.

Structure of simple liquids as a problem of percolation in the Voronoi grid

1989 ◽  
Vol 30 (2) ◽  
pp. 253-260 ◽  
Author(s):  
N. N. Medvedev ◽  
V. P. Voloshin ◽  
Yu. I. Naberukhin
Keyword(s):  
Simple Liquids ◽  
Voronoi Grid ◽  
Structure Of Simple Liquids

scholarly journals A Theory of Phonons in Amorphous Solids and Its Implications to Collective Motion in Simple Liquids

1971 ◽  
Vol 45 (2) ◽  
pp. 331-352 ◽  
Author(s):  
Shozo Takeno ◽  
Masaki Gôda
Keyword(s):  
Collective Motion ◽  
Amorphous Solids ◽  
Simple Liquids

Empty interatomic space in computer models of simple liquids and amorphous solids

1993 ◽  
Vol 5 (32) ◽  
pp. 5685-5700 ◽  
Author(s):  
V P Voloshin ◽  
Yu I Naberukhin
Keyword(s):  
Computer Models ◽  
Amorphous Solids ◽  
Simple Liquids ◽  
Interatomic Space

Geometrical analysis of the structure of simple liquids: percolation approach

1991 ◽  
Vol 73 (4) ◽  
pp. 917-936 ◽  
Author(s):  
Yu. I. Naberukhin ◽  
V.P. Voloshin ◽  
N.N. Medvedev
Keyword(s):  
Geometrical Analysis ◽  
Simple Liquids ◽  
Structure Of Simple Liquids

Statistical geometry of simple liquids in two dimensions

1990 ◽  
Vol 41 (8) ◽  
pp. 4585-4588 ◽  
Author(s):  
Matthew A. Glaser ◽  
Noel A. Clark
Keyword(s):  
Two Dimensions ◽  
Statistical Geometry ◽  
Simple Liquids

A crossover integral equation for the structure of simple liquids

1984 ◽  
Vol 80 (9) ◽  
pp. 4441-4447 ◽  
Author(s):  
S. M. Foiles ◽  
N. W. Ashcroft ◽  
L. Reatto
Keyword(s):  
Integral Equation ◽  
Simple Liquids ◽  
Structure Of Simple Liquids

The Structure of Simple Liquids

1973 ◽  
Vol 24 (1) ◽  
pp. 159-187 ◽  
Author(s):  
P A Egelstaff
Keyword(s):  
Simple Liquids ◽  
Structure Of Simple Liquids

ON THE EQUILIBRIUM STRUCTURE OF SIMPLE LIQUIDS

1970 ◽  
Author(s):  
David Chandler ◽  
John D. Weeks
Keyword(s):  
Equilibrium Structure ◽  
Simple Liquids ◽  
Structure Of Simple Liquids

Structure of simple liquids as a percolation problem on the Voronoi network

1988 ◽  
Vol 21 (4) ◽  
pp. L247-L252 ◽  
Author(s):  
N N Medvedev ◽  
V P Voloshin ◽  
Y I Naberukhin
Keyword(s):  
Simple Liquids ◽  
Percolation Problem ◽  
Structure Of Simple Liquids
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