Frenkel-Kontorova Models, Pinned Particle Configurations and Burgers Shocks - Condensed Matter > Statistical MechanicsReportar como inadecuado




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Abstract: We analyze the relationship between the lowest energy configurations of aninfinite harmonic chain of particles in a periodic potential and the evolutionof characteristics in a periodically-forced inviscid Burgers equation. Theshock discontinuities in the the Burgers evolution arise from thermodynamicalconsiderations and play an important role as they separate out flows related tolowest energy configurations from those associated with higher energies. Westudy in detail the exactly solvable case of an external potential consistingof parabolic segments, and calculate analytically the lowest energyconfigurations, as well as excited states containing discommensurations.



Autor: Muhittin Mungan, Cem Yolcu

Fuente: https://arxiv.org/



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