Momentum distribution and correlation due to mass difference caused by power-like distribution

Abstract

The momentum distribution and the correlation due to the mass difference were studied both in the case of the conventional expectation value and in the case of [Formula: see text]-expectation value, when the momentum distribution is described by a Tsallis distribution with the entropic parameter [Formula: see text]. The magnitude of the momentum distribution for hard modes increases as [Formula: see text] increases, and the [Formula: see text]-dependence of the momentum distribution is quite weak for soft modes. The correlation at [Formula: see text] is larger than that at [Formula: see text] for soft modes, while the correlation at [Formula: see text] is smaller than that at [Formula: see text] for hard modes. The [Formula: see text]-dependences of these quantities in the case of [Formula: see text]-expectation value are weaker than those in the case of the conventional expectation value, respectively.