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Consider a longitudinal elastic wave, uz = u cos (wt – ska) which propagates in a monoatomic lattice of atoms of mass m, spacing a and the nearest-neighbor interaction C. u, is the displacement of an sth atom from its equilibrium position. Show that time-average total (kinetic+potential!) energy per atom is mw? (E)atom 2

Consider a longitudinal elastic wave, uz = u cos (wt – ska) which propagates in a monoatomic lattice of atoms of mass m, spacing a and the nearest-neighbor interaction C. u, is the displacement of an sth atom from its equilibrium position. Show that time-average total (kinetic+potential!) energy per atom is mw? (E)atom 2

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Consider a longitudinal elastic wave, uz = u cos (wt – ska) which propagates in a monoatomic lattice of atoms of mass m, spacing a and the nearest-neighbor interaction C. u, is the displacement of an sth atom from its equilibrium position. Show that time-average total (kinetic+potential!) energy per atom is mw? (E)atom 2
Transcribed Image Text:Consider a longitudinal elastic wave, uz = u cos (wt – ska) which propagates in a monoatomic lattice of atoms of mass m, spacing a and the nearest-neighbor interaction C. u, is the displacement of an sth atom from its equilibrium position. Show that time-average total (kinetic+potential!) energy per atom is mw? (E)atom 2
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