Chemical collision model and statistical distribution function for an anyon liquid

1997 ◽  
Vol 34 (1) ◽  
pp. 61-64 ◽  
Author(s):  
N. H. March
1951 ◽  
Vol 18 (3) ◽  
pp. 293-297 ◽  
Author(s):  
Waloddi Weibull

Abstract This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.


The phenomenon, which is usually described as ‘fatigue’ of materials, but for which the term ‘progressive failure’ would be more adequate, is the expression, on a macroscopic scale, of the progressive destruction of the cohesive bonds as a result of the repetitive action of an external load. It has the typical features of a mass phenomenon; both the cohesive bonds and the load repetitions are collectives in a statistical sense (Mises 1931). By applying the fundamental rules of the theory of probability many of the experimentally established relations between the principal variables can be theoretically deduced from the purely formal assumption of the existence of a statistical distribution function of the separation-strength of cohesive bonds.


1993 ◽  
Vol 26 (2) ◽  
pp. 135-141 ◽  
Author(s):  
N. H. March ◽  
N. Gidopoulos ◽  
A. K. Theophilou ◽  
M. J. Lea ◽  
W. Sung

1962 ◽  
Vol 10 (2) ◽  
pp. 180-196 ◽  
Author(s):  
Robert L. Anderson ◽  
Robert Herman ◽  
I. Prigogine

2016 ◽  
Vol 368 ◽  
pp. 126-129
Author(s):  
Lenka Kocmanová ◽  
Petr Haušild ◽  
Aleš Materna ◽  
Jiří Matějíček

The paper focuses on the variation of mechanical properties near the interface of two materials. The aim is to determine the properties of the individual phases and the size of the region influenced by the adjacent material. Nanoindentation measurements were performed in the vicinity of a sharp interface between tungsten and steel, which was a plane located parallel to the loading force direction. The probability of indentation in the affected area as a function of depth of penetration and distance from the interface was fitted by a proper statistical distribution function. The intrinsic properties of the individual phases can subsequently be extracted from the experimental indentation data.


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