TY - JOUR
T1 - Half-kink lattice solution of the φ6 model
AU - Sanati, M.
AU - Saxena, A.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 1999/6/11
Y1 - 1999/6/11
N2 - Investigation of a great number of physical systems shows that a scaled Landau free energy density of the form F(φ) = a/2φ2 - 1/4φ4 + 1/6φ6 describes a first-order phase transition. To study the formation of static domain walls in these systems we include a spatial gradient (Ginzburg) term of the scalar order parameter φ. At the transition temperature (Tc) the potential has three degenerate minima corresponding to an asymmetric domain wall (i.e. a half-kink solution). We have obtained the associated kink lattice solution, its energy of formation and asymptotic kink-kink interaction. In addition, we report a 'pulse' lattice solution below Tc.
AB - Investigation of a great number of physical systems shows that a scaled Landau free energy density of the form F(φ) = a/2φ2 - 1/4φ4 + 1/6φ6 describes a first-order phase transition. To study the formation of static domain walls in these systems we include a spatial gradient (Ginzburg) term of the scalar order parameter φ. At the transition temperature (Tc) the potential has three degenerate minima corresponding to an asymmetric domain wall (i.e. a half-kink solution). We have obtained the associated kink lattice solution, its energy of formation and asymptotic kink-kink interaction. In addition, we report a 'pulse' lattice solution below Tc.
UR - http://www.scopus.com/inward/record.url?scp=0040531977&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/32/23/309
DO - 10.1088/0305-4470/32/23/309
M3 - Article
AN - SCOPUS:0040531977
VL - 32
SP - 4311
EP - 4320
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 23
ER -