U.S. flag
        An official website of the United States government
          Here’s how you know
        Here’s how you know**Official websites use .gov**
              
              A **.gov** website belongs to an official government organization in the United States.
        **Secure .gov websites use HTTPS**
              
              A **lock** (  A locked padlock
) or **https://** means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites. https://www.nist.gov/itl/math/acmd-seminar-why-are-crystal-facets-mathematically-interesting-continuum-scale-story
  Search NIST
    Search
              Menu

      


Close
    Topics
        All Topics
                                                        Advanced communications
                                                        Artificial intelligence
                                                        Bioscience
                                                        Buildings and construction
                                                        Chemistry
                                                        Climate
                                                        Cybersecurity
                                                        Electronics
                                                        EnergyEnvironment
                                                        Fire
                                                        Forensic science
                                                        Health
                                                        Information technology
                                                        Infrastructure
                                                        Manufacturing
                                                        Materials
                                                        Mathematics and statisticsMetrology
                                                        Nanotechnology
                                                        Neutron research
                                                        Performance excellence
                                                        Physics
                                                        Public safety
                                                        Resilience
                                                        Standards
                                                        Transportation
            Publications
            Labs & Major Programs
        Laboratories
                                Communications Technology Laboratory
                                  Engineering Laboratory
                                  Information Technology Laboratory
                                  Material Measurement Laboratory
                                  Physical Measurement LaboratoryUser Facilities
                                NIST Center for Neutron Research
                                  CNST NanoFab
                                                        Research Test Beds
                                                        Research Projects
                                                        Tools & InstrumentsMajor Programs
                                Baldrige Performance Excellence Program
                                  CHIPS for America Initiative
                                  Manufacturing Extension Partnership (MEP)
                                  Office of Advanced Manufacturing
                                  Special Programs Office
                                  Technology Partnerships Office
            Services & Resources
        Standards and Measurements
                                Calibration Services
                                  Laboratory Accreditation (NVLAP)
                                  Quality System
                                  Standard Reference Materials (SRMs)
                                  Standards.gov
                                  Time Services
                                  Office of Weights and MeasuresSoftware
                                                        Data
                                Chemistry WebBook
                                  National Vulnerability Database
                                  Physical Reference Data
                                  Standard Reference Data (SRD)
                                                        Storefront
                                                        License & PatentsComputer Security Resource Center (CSRC)
                                                        NIST Research Library
            News & Events
        News
                                                        Events
                                                        Blogs
                                                        Feature Stories
                                                        AwardsVideo Gallery
                                                        Image Gallery
                                                        Media Contacts
            About NIST
        About Us
                                Leadership
                                  Organization Structure
                                  Budget & Planning
                                                        Contact Us
                                                        Visit
                                                        Careers
                                Student programsWork with NIST
                                                        History
                                NIST Digital Archives
                                  NIST Museum
                                  NIST and the Nobel
                                                        Educational Resources
 
 Information Technology Laboratory
      Applied and Computational Mathematics Division
    
      
  Projects/Programs
          How to Work With Us
          NIST Publications Searchable Database
          Staff Directory
          News & Updates
          Resources/ServicesACMD Seminar: Why are crystal facets mathematically interesting? A continuum-scale story with a microscale touch

Share
  Facebook
                      Linkedin
                      Twitter
                      Email

Professor Dionisios Margetis*Department of Mathematics and Institute of Physical Science and Technology, University of Maryland, College Park*

Tuesday, April 3, 2018, 15:00 - 16:00
	Building 222, Room B263
	Gaithersburg

Tuesday, April 3, 2018, 13:00 - 14:00
	Room 1-4072
	Boulder

**Host:** Paul Patrone

**Abstract:** Recent advances in materials science enable the observation and control of microstructures such as nanoscale defects with remarkable precision. In this talk, I will discuss recent progress and open challenges in understanding how small-scale details in the kinetics of crystal surfaces can macroscopically influence the surface morphological evolution. In particular, the evolution of crystal surface plateaus, facets, is characterized by an effective behavior at the macroscale that is not necessarily only the outcome of averaging, but instead may be dominated by certain discrete (microscopic) events. This "idiosyncrasy" of facet evolution raises challenging but interesting mathematical questions. The talk will explore via selected examples and methods how the kinetics of microscale defects near facets can plausibly leave their imprints at larger scales. The main tool is a class of partial differential equations (PDEs) for the surface height profile. I address the question: Can this continuum description be reconciled with the motion of line defects (steps) at the nanoscale, and how?

**Bio:** Dionisios Margetis is a professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park. Professor Margetis received his PhD in Applied Physics in 1999 from Harvard University and has been at the University of Maryland since 2006. He is also affiliated with The Center for Scientific Computation and Mathematical Modeling and the Maryland NanoCenter. Professor Margetis's research lies broadly in materials modeling and analysis, at the triple point of applied mathematics, theoretical physics, and materials science. His research is motivated by physical experiments and primarily explores the connection of continuum laws (e.g. PDEs) to discrete or microscopic models (e.g. ODE systems) in classical and quantum mechanics. Of particular interest are microscale effects that leave their signatures even at large scales.
  Mathematics and statistics

    
    Contacts
      
        

Paul Patrone
    
      
  paul.patrone@nist.gov
  (301) 975-5551

Created March 28, 2018, Updated June 2, 2021
 HEADQUARTERS
            100 Bureau Drive
              Gaithersburg, MD 20899301-975-2000
            Webmaster | Contact Us | Our Other Offices
        Twitter
            
Facebook
            
LinkedIn
            
Instagram
            
YouTube
            
Giphy
            
RSS Feed
            
Mailing List
                              How are we doing? Feedback

  
  Site Privacy
                      Accessibility
                      Privacy Program
                      Copyrights
                      Vulnerability Disclosure
                      No Fear Act Policy
                      FOIA
                      Environmental Policy
                      Scientific Integrity
                      Information Quality Standards
                      Commerce.gov
                      Science.gov
                      USA.gov
                      Vote.gov