We consider a fully inertial discrete model of martensitic phase transitions that takes into account long-range interactions. Although the model is Hamiltonian at the microscale, it generates a nontrivial macroscopic relation between the velocity of the martensitic phase boundary and the conjugate configurational force. The apparent dissipation is due to the induced radiation of lattice waves carrying energy away from the front. We compare the discrete model to various quasicontinuum approximations and show that their agreement with the discrete model in the long-wave region is dependent on the strength of long-range interactions.
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