TY - JOUR
T1 - Lattice-discreteness corrections in the transfer-operator method for kink-bearing chains
AU - Trullinger, S. E.
AU - Sasaki, K.
N1 - Funding Information:
This work was supported by NSF grants No. DMR77-08445 and DMR-7908920 and by the Japan Society for the Promotion of Science. One of us (SET) wishes to acknowledge the support of an Alfred P. Sloan Research Fellowship.
PY - 1987/9
Y1 - 1987/9
N2 - Currie, Krumhansl, Bishop and Trullinger have studied the classical statistical mechanics of one-dimensional chains of harmonically coupled particles in an external kink-bearing potential of the nonlinear Klein-Gordon variety. We derive and examine first-order lattice-discreteness corrections to their "Schrödinger equation" (continuum limit) approximation of the transfer-integral operator equation. We find a simple formula for the lowest-order correction to the free energy which is valid for the entire class of such systems.
AB - Currie, Krumhansl, Bishop and Trullinger have studied the classical statistical mechanics of one-dimensional chains of harmonically coupled particles in an external kink-bearing potential of the nonlinear Klein-Gordon variety. We derive and examine first-order lattice-discreteness corrections to their "Schrödinger equation" (continuum limit) approximation of the transfer-integral operator equation. We find a simple formula for the lowest-order correction to the free energy which is valid for the entire class of such systems.
UR - http://www.scopus.com/inward/record.url?scp=0006967913&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0006967913&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(87)90128-X
DO - 10.1016/0167-2789(87)90128-X
M3 - Article
AN - SCOPUS:0006967913
VL - 28
SP - 181
EP - 188
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-2
ER -