Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-12-13
This paper given as a supplement to Chin. Phys.B 19(2010)070501
Physics
Condensed Matter
Statistical Mechanics
9 pages
Scientific paper
We deal with the power-law q-distribution functions, so-called q-exponentials in nonextensive statistics. The system considered is a many-body Hamiltonian system with arbitrary interacting potentials. We find that the usual form of power-law q-distribution function employed in nonextensive statistics for the system may be not to stand by the probabilistically independent postulate and it only represents a dynamical isothermal situation. The probabilistically independent postulate is validated by the nonextensivity (or pseudoadditivity) in nonextensive statistics and thus the usual forms of power-law q-distribution function have to be modified. In this letter, we present a new power-law q-distribution based on the probabilistically independent postulate, which can represent nonequilibrium stationary state of the system away from equilibrium and with the nonextensive energy.
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