DYNAMICS AND THERMODYNAMICS OF A ONE DIMENSIONAL NON-LINEAR LATTICE IN THE CONTINUUM LIMIT

S. N. Behera, A. Khare
1981 Le Journal de Physique Colloques  
The dynamics of a non-linear one dimensional l a t t ce, with t h e on-site p o t e n t i a l Y(+ = (t1/8) Cosh 4 9 -5 Cosh 2& -( s2/8) i s considered i n t h e continuum l i m i t . Exact c l a s s i c a l kink s o l u t i o n s a r e obtained; f o r 3 4 2, i n which case t h e p o t e n t i a l has the double well £om, The f r e e energy of t h e system i s c a l c u l a t e d using t h e ground s t a t e eigen value of t h e S chrodinger l i k e equation f o r t h i s p o t e n t i a l .
doi:10.1051/jphyscol:1981691 fatcat:mt2qnynepzdbrmvy3bff2rmb74