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Slow magnetoacoustic waves are omnipresent in both natural and laboratoryplasma systems. The wave-induced misbalance between plasma cooling and heatingprocesses causes the amplification or attenuation, and also dispersion, of slowmagnetoacoustic waves. The wave dispersion could be attributed to the presenceof characteristic time scales in the system, connected with the plasma heatingor cooling due to the competition of the heating and cooling processes in thevicinity of the thermal equilibrium. We analysed linear slow magnetoacousticwaves in a plasma in a thermal equilibrium formed by a balance of opticallythin radiative losses, field-align thermal conduction, and an unspecifiedheating. The dispersion is manifested by the dependence of the effectiveadiabatic index of the wave on the wave frequency, making the phase and groupspeeds frequency-dependent. The mutual effect of the wave amplification anddispersion is shown to result into the occurrence of an oscillatory pattern inan initially broadband slow wave, with the characteristic period determined bythe thermal misbalance time scales, i.e. by the derivatives of the combinedradiation loss and heating function with respect to the density andtemperature, evaluated at the equilibrium. This effect is illustrated byestimating the characteristic period of the oscillatory pattern, appearingbecause of thermal misbalance in the plasma of the solar corona. It is foundthat by an order of magnitude the period is about the typical periods of slowmagnetoacoustic oscillations detected in the corona.

Formation of quasi-periodic slow magnetoacoustic wave trains by the heating/cooling misbalance