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Specific heat of 1D lattice

  • Thread starter poojagbn
  • Start date
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.
A 1D lattice is a chain.

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