Tales of Emerging Complexity: from Self-Assembly to
        Self-Replication
      Alexei Tkachenko, Brookhaven National Laboratory
    
    
    Abstract: 
      Self-assembly is a key  phenomenon in  living matter,
      and at the same time,  a booming field of  modern
      material science and engineering. In my talk I will review
      emerging  trends and ideas in this field, and give theorist's
      perspective on its conceptual challenges.  I will discuss the
      strategy of  programmable self-assembly  that uses
      molecular recognition properties of DNA to build nano- and
      micro-scale building blocks  with designed  pairwise
      interactions.  This approach opens an entirely  new
      class of theoretical problems in statistical physics.
       Instead of studying phenomenology of a large system of
       particles with  given properties, we must solve the
      inverse problem:  finding the interactions that would result
      in a self-assembly of a desired macroscopic or mesoscopic
      morphology. I will start with a discussion of self-assembly in a
      very simple  binary system of spherical particles, and
      gradually move towards a greater complexity of both the building
      blocks and the resulting structures. Eventually, from the problem
      of programmable self assembly we will shift to a pursue of the
      simplest  system capable of self-replication and Darwinian
      Evolution.  
     
    " This research used resources of the Center for
      Functional Nanomaterials, which is a U.S. DOE Office of Science
      Facility, at Brookhaven National Laboratory under Contract No.
      DE-SC0012704"