Avik P. Chatterjee
220 Jahn Lab
1 Forestry Dr.
Syracuse, New York 13210
Ph.D., 1996, Cornell University; Postdoctoral Associate, 1996-1998, University of Illinois at Urbana-Champaign; Postdoctoral Associate, 1998-1999, Institute of Physical Science and Technology, University of Maryland at College Park.
The research efforts in the Chatterjee group focus on understanding structure and thermodynamics in complex fluids using methods of macromolecular liquid-state theory. The problems we investigate are at the interface of physical chemistry and materials science, and our methods include both numerical techniques for solving coupled integral equations as well as the development of analytical theory and models. In particular, we employ the connectedness Ornstein-Zernike formalism to elucidate geometric/connectedness percolation in polymeric fluids and mixtures. The percolation threshold for elongated, rod-like nanoparticles dispersed in a matrix of flexible macromolecules depends upon both the nanoparticle aspect ratio as well as the particle-matrix interactions. Exploring the nature of these dependences within the integral-equation based connectedness Ornstein-Zernike as well as lattice-based approaches are avenues of continuing interest to our group.
Additionally, we are interested in the elastic properties of nanofiber-reinforced composites. A theoretical framework for modeling such nanocomposites has been developed which integrates micromechanical estimates for network deformation energies with results from percolation theory and effective medium formalisms appropriate to heterogeneous materials. An example of a comparison of results from our theory with experimental measurement is depicted below:
An overview of our research into connectedness percolation in polymeric systems is provided in this set of slides. Further details regarding our work may be found in Dr. Xiaoling Wang's doctoral thesis.
A remark concerning percolation thresholds in polydisperse systems of finite-diameter rods, A.P. Chatterjee, J. Statistical Physics, 146, 244, (2012)
Tracer diffusion in fibre networks: the impact of spatial fluctuations in the fibre distribution, A.P. Chatterjee, J. Phys.: Condensed Matter, 23, 375103, (2011)
Connectedness percolation in monodisperse rod systems: clustering effects, A.P. Chatterjee, J. Phys.: Condensed Matter, 23, 375101, (2011)
A simple model for characterizing non-uniform fibre-based composites and networks, A.P. Chatterjee, J. Phys.: Condensed Matter, 23, 155104, (2011)
Connectedness percolation in polydisperse rod systems: a modified Bethe lattice approach, A.P. Chatterjee, J. Chem. Phys., 132, 224905, (2010)