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Molecular dynamic simulations are performed to investigate a long-time evolution of different initial signals in nonlinear acoustic chains with realistic Exp-6 potential and with power potentials. First, in the chain with realistic potential, long-lifetime kink-shaped excitations are found in the system in thermodynamic equilibrium. They give sharp peaks on high-energy tile of Gibbs distribution. Travelling along the chain, each kink collects the energy from the background atoms, and, consequently, transfers it to small-amplitude phonons. Dynamic equilibrium is observed between the processes of growth and decay of the kinks

SPONTANEOUSLY APPEARING DISCRETE MOVING KINKS IN NONLINEAR ACOUSTIC CHAIN WITH REALISTIC POTENTIAL