Statistical Mechanics of Lam\'e Solitons
Bena, Ioana ; Khare, Avinash ; Saxena, Avadh
arXiv, 0504295 / Harvested from arXiv
Text on arXiv
We study the exact statistical mechanics of Lam\'e solitons using a transfer matrix method. This requires a knowledge of the first forbidden band of the corresponding Schr\"odinger equation with the periodic Lam\'e potential. Since the latter is a quasi-exactly solvable system, an analytical evaluation of the partition function can be done only for a few temperatures. We also study approximately the finite temperature thermodynamics using the ideal kink gas phenomenology. The zero-temperature "thermodynamics" of the soliton lattice solutions is also addressed. Moreover, in appropriate limits our results reduce to that of the sine-Gordon problem.
Publié le : 2005-04-12
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0504295,
     author = {Bena, Ioana and Khare, Avinash and Saxena, Avadh},
     title = {Statistical Mechanics of Lam\'e Solitons},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504295}
}

Bena, Ioana; Khare, Avinash; Saxena, Avadh. Statistical Mechanics of Lam\'e Solitons. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504295/