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At Lawrence Livermore National Laboratory (LLNL) a new theoretical program has been launched with the objective of developing predictive theories and simulation codes for the description of non-equilibrium phase transitions that occur under shock and/or ramp compresion. The approach taken by our program is to formulate the precise nature of the problem at the atomistic, meso and continuum scales and to pursue a number of lines of inquiry that enable us to overcome several key theoretical barriers-this has taken the form of five cross-cutting research strands. In this talk, we will provide an overview of our program, present recent advances that our program has made on several fronts, and highlight the series of talks that members of the kinetics team will present at this conference. We will then focus on our hydrodynamically coupled multi-phase field and inline equation of state methodology that is embodied in …