MUSYX

Multiscale Simulation of Crystal Defects

 Coordinatore THE UNIVERSITY OF WARWICK 

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 Nazionalità Coordinatore United Kingdom [UK]
 Totale costo 1˙111˙793 €
 EC contributo 1˙111˙793 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2013-StG
 Funding Scheme ERC-SG
 Anno di inizio 2014
 Periodo (anno-mese-giorno) 2014-01-01   -   2018-12-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    THE UNIVERSITY OF WARWICK

 Organization address address: Kirby Corner Road - University House -
city: COVENTRY
postcode: CV4 8UW

contact info
Titolo: Dr.
Nome: Christoph
Cognome: Ortner
Email: send email
Telefono: +44 24 7652 3574
Fax: +44 24 7652 4182

UK (COVENTRY) hostInstitution 1˙111˙793.28
2    THE UNIVERSITY OF WARWICK

 Organization address address: Kirby Corner Road - University House -
city: COVENTRY
postcode: CV4 8UW

contact info
Titolo: Ms.
Nome: Catherine
Cognome: Cochrane
Email: send email
Telefono: +44 27657 4453

UK (COVENTRY) hostInstitution 1˙111˙793.28

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

continuum    defects    framework    theory    theme    nucleation    multiscale    statistical    dynamic    coupling    defect    transition    rigorous    themes    atomistic    related    energies    numerical   

 Obiettivo del progetto (Objective)

'The MUSYX project will develop a rigorous numerical analysis framework for assessing the accuracy of multiscale methods for simulating the dynamics of crystalline defects. The core focus of the research will be the analysis of approximation errors of atomistic-to-continuum (a/c) coupling methods and related multiscale schemes. The rigorous mathematical foundations, which will be the outcome of this work, will also lead to the construction of more robust and more efficient numerical algorithms.

The research will be undertaken within four distinct but closely related themes: Theme A: quasistatic evolutions up to and including bifurcation points (defect nucleation and evolution); Theme B: Transition paths, saddles, and transition rates between local minima (defect nucleation and diffusion at finite temperature); Theme C: Computation of defect formation energies within the framework of equilibrium statistical mechanics; Theme D: Fully dynamic problems. The four themes are connected through the focus on crystal defects and model interfaces (e.g., atomistic/continuum).

Themes A and B build on and significantly extend the theory of a/c coupling pioneered by the PI, which combines classical techniques of numerical analysis (consistency, stability) with modern concepts of multiscale and atomistic modeling. Theme C aims to develop an analogous theory for multiscale free energy calculations (precisely, defect formation energies). Theme D approaches the analysis of a fully dynamic multiscale scheme by analyzing its qualitative statistical properties.'

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