A set of generalized Langevin equations has been used to treat the backbone dynamics of a dimerized lattice, where the dimerization is due to a tight-binding electron-phonon coupling term. As example of application, we tune the model parameters to represent a neutral spin 1/2 soliton state in a trans-polyacetylene oligomer. By numerical integration of the equations of motion, we found a temperature-induced oscillating electric dipole across the solitonic domain wall. We characterized the dipole frequency, amplitude and radiated power as function of the heat bath temperature. (C) 2012 Elsevier B. V. All rights reserved.