Conditions for the Existence of Polaron States in Classical Molecular Chains at Finite Temperatures

Today in many articles the polaron states are calculated in classical molecular chains for zero temperature. At the same time it is assumed that polaron properties do not change significantly, if the temperature is nonzero, but much smaller than the characteristic energy equal to the depth of the polaron level. However, the results of computational experiments lead us to suggestion that in infinitely long chain the polaron is destroyed at any small different from zero temperature. The paper is devoted to the resolution of described "paradoxical" situation.