Module 4 : Nonlinear elasticity
  Lecture 38 : Network with six-fold symmetry under stress
 


Net work with six-fold symmetry at non-zero temperature

So far we considered spring networks at zero temperature with all springs at identical length. In other word, the springs are in high tension relative to . With increase in temperature, however, the springs increasingly fluctuate in length. We can then estimate the probability of finding its extension between  and  from the Boltzmann’s relation,

(38.18)


The mean square value of  x can be derived as,

(38.19)