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The thermodynamic stability criterion in a self-gravitational system with phase transition

Published 6 May 2013 Copyright © EPLA, 2013
, , Citation Yahui Zheng 2013 EPL 102 29901 DOI 10.1209/0295-5075/102/29901

This is a correction for 2013 EPL 102 10009

0295-5075/102/2/29901

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The critical condition, eq. (22), has been derived from eq. (20) which, however, uses an incorrect limit. The correct limit is

where T1 and φ1 are the temperature and the gravitational potential at the boundary of the self-gravitating system, respectively. We assume that these limits do not change with temperature. This yields

Using this expression in eqs. (15) and (18), eq. (20) can be written as

which now correctly leads to expression (22).

10.1209/0295-5075/102/29901