Parongama Sen and Somendra M Bhattacharjee 2002 J. Phys. A: Math. Gen. 35 L141 doi:10.1088/0305-4470/35/11/102
Parongama Sen1 and Somendra M Bhattacharjee2
Show affiliationsWe show that non-locality in the conservation of both the order parameter and a non-critical density (model-D dynamics) leads to new fixed points for critical dynamics. Depending upon the parameters characterizing the non-locality in the two fields, we find four regions: (i) model-A-like, where both conservations are irrelevant; (ii) model-B-like, with the conservation in the order parameter field relevant and the conservation in the coupling field irrelevant; (iii) model-C-like, where the conservation in the order parameter field is irrelevant but the conservation in the coupling field is relevant; and (iv) model-D-like, where both conservations are relevant. While the first three behaviours are already known in dynamical critical phenomena, the last one is a novel phenomenon due entirely to the non-locality in the two fields.
Issue 11 (22 March 2002)
Received 17 December 2001
Published 8 March 2002
Parongama Sen and Somendra M Bhattacharjee 2002 J. Phys. A: Math. Gen. 35 L141
Somendra M Bhattacharjee 2007 J. Phys. A: Math. Theor. 40 1703
Takenori Nakano et al. 2000 ApJ 534 976
Masahiro Tsujimoto et al. 2002 ApJ 573 270
M Dikpati and P A Gilman 2007 New J. Phys. 9 297
R. Cameron and M. Schüssler 2008 ApJ 685 1291
Tong Xu et al 2008 Chin. J. Astron. Astrophys. 8 337
S E Woosley et al 2009 J. Phys.: Conf. Ser. 180 012023
A. J. Aspden et al. 2008 ApJ 689 1173
M. Zingale et al. 2005 ApJ 632 1021