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Homework Help: Specific heat of 1D lattice

  1. Dec 10, 2015 #1
    The problem statement, all variables and given/known data
    Analyze the specific heat of a one dimensional lattice of identical atoms:
    Show within Debye approximation that the specific heat at low temperatures ( ≪ Θ) is
    proportional to T/ΘD . Here ΘD=ℏD/ kB = ℏvs/KBa is the Debye temperature valid for 1D, kB the Boltzmann constant, a the lattice constant, vs the velocity of sound and D the Debye frequency.

    The attempt at a solution
    I know how to find out for a linear chain. But I do not know where to start in case of a 1-D lattice.

    please help.
  2. jcsd
  3. Dec 11, 2015 #2
    A 1D lattice is a chain.
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