On the dynamics of a polaron in a classical chain with finite temperature

• Published in: Journal of experimental and theoretical physics Vol. 120; no. 1; pp. 125 - 131
• Main Authors: Lakhno, V. D., Fialko, N. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-01-2015; Springer
• Subjects: CHAINS; Classical and Quantum Gravitation; COMPUTERIZED SIMULATION; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRITICAL TEMPERATURE; DEPTH; Electronic Properties of Solid; Elementary Particles; ENERGY LEVELS; LENGTH; Particle and Nuclear Physics; Physics; Physics and Astronomy; POLARONS; Quantum Field Theory; Relativity Theory; Solid State Physics; TEMPERATURE ZERO K; Soliton; Delocalized State; Temperature Decay; Thermodynamic Equilibrium State; Quantum Mechanical Description
• ISSN: 1063-7761; 1090-6509
• DOI: 10.1134/S106377611501015X

In today’s literature, polaron states in classical molecular chains are mostly calculated at zero temperature. It is assumed that the properties of these states change little if the temperature is different from zero but is much less than the characteristic energy equal to the depth of the polaron level. By numerical experiments, we demonstrate that the temperature decay of a polaron depends on the chain length. The longer the chain, the lower the critical temperature above which the charge is in a delocalized state, and, conversely, the shorter the chain, the higher the decay temperature of a polaron. The results of numerical experiments lead to a conclusion that, in an indefinitely long chain, polaron states decay at temperatures differing arbitrarily little from zero.