The nonextensive parameter as a stability criterion of convection in a fluid
Department of Physics, School of Science, Qiqihar University - Qiqihar City 161006, China
Received: 3 December 2012
Accepted: 10 January 2013
We apply the nonextensive statistical theory given by Landau and Lifshitz to study the stability condition of convection in a fluid. When introducing Du's equation (Du J. L., Europhys. Lett., 67 (2004) 893), a relationship between the temperature gradient and the potential field of a nonequilibrium complex system by the nonextensive parameter, into the stability condition, we find that the nonextensive parameter can be used as the stability criterion of the convection taking place in a fluid. With the data of the standard solar models for BP2000 and BS2005, we apply this criterion to the solar interior and show a stability range from the center of the Sun to 0.74 R⊙,which is in excellent agreement with the helioseismological measurements inside the Sun. With the same data, the lower limit of the adiabatic index, when stability is needed, has been calculated.
PACS: 96.60.Jw – Solar interior / 05.20.-y – Classical statistical mechanics / 95.30.Lz – Hydrodynamics
© EPLA, 2013