A new model is presented for the distribution of solar (and stellar) h
are energies. Flares are assumed to result from energy release in mult
iple reconnecting current sheets (RCSs) in the solar corona. The model
takes into account both the dynamical evolution of separate RCSs and
their interaction by virtue of coalescence. Thus an attempt is made to
generalize previously suggested avalanche and RCS models for the flar
e frequency distribution. The number of RCSs is not specified and the
strength of their interaction is governed by a coalescence parameter.
Under quite general assumptions, the resulting distribution can be app
roximated by a power law with the slope 3/2 < alpha < 7/4, as required
by numerous observations. A softer distribution of numerous 'nanoflar
es', responsible for the coronal heating, is also possible under suita
ble choice of parameters.