Molecular theory and simulation of the mechanics of materials with emphasis on fluids. Equal emphasis on theory and simulation. Dilute gases and the Boltzman equation. Kinetic theory of gases and the direct simulation Monte Carlo. Hard sphere molecular dynamics. Molecular dynamics and Monte Carlo methods for dense fluids and solids. Survey of state-of-the-art applications, including flows at the microscale (MEMS), highly non-equilibrium flows, polymeric fluids, phase transitions, and crack propagation.

Prof. Nicolas G. Hadjiconstantinou (ngh@mit.edu)

COURSE OUTLINE

I Statistical Mechanics (5 lectures)

II Kinetic and Transport Theory of Dilute gases (10 lectures)

III Monte Carlo Methods (2 lectures)

IV Non-dilute Systems and Simulation (6 lectures)

2 weekly lectures: TR 1.00pm-2.30pm, Room 1-371

Grading: homeworks 50%, final project 50%



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