Classical Statistical Mechanics with Nested Sampling (Springer Theses) .


This thesis develops a nested sampling algorithm into a black box tool for directly calculating the partition function, and thus the complete phase diagram of a material, from the interatomic potential energy function. It represents a significant step forward in our ability to accurately describe the finite temperature properties of materials. In principle, the macroscopic phases of matter are related to the microscopic interactions of atoms by statistical mechanics and the partition function. In practice, direct calculation of the partition function has proved infeasible for realistic models of atomic interactions, even with modern atomistic simulation methods. The thesis also shows how the output of nested sampling calculations can be processed to calculate the complete PVT (pressure–volume–temperature) equation of state for a material, and applies the nested sampling algorithm to calculate the pressure–temperature phase diagrams of aluminium and a model binary alloy.

Authors: Robert John Nicholas Baldock

Date: 2017-12-19

Upload Date: 11/19/2017 10:14:59 AM

Format: PDF

Pages: 144

OCR:

Quality:

Language: English

ISBN / ASIN: 3319667688

ISBN13: 9783319667683


[ARSocial_Lite_Locker id=1]
Please click here——->Free down
[/ARSocial_Lite_Locker]

This website is authorized using the BY-NC-SA 4.0Authorization by agreement.