Geoffroy Piroux and Philippe Ruelle 2005 J. Phys. A: Math. Gen. 38 1451 doi:10.1088/0305-4470/38/7/004
Geoffroy Piroux and Philippe Ruelle
Show affiliationsWe study the Abelian sandpile model on the upper half-plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the dissipative (massive) extension of the model and identify the boundary scaling fields corresponding to the four heights. We find that they all can be accounted for by the massive pertubation of a c = −2 logarithmic conformal field theory.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
81T40 Two-dimensional field theories, conformal field theories, etc.
Issue 7 (18 February 2005)
Received 4 October 2004, in final form 14 December 2004
Published 2 February 2005
Geoffroy Piroux and Philippe Ruelle 2005 J. Phys. A: Math. Gen. 38 1451
Delphine Cabaret and Christian Brouder 2009 J. Phys.: Conf. Ser. 190 012003
M Conti et al 2007 Phys. Med. Biol. 52 2335
D. Sen and S. Lal 2000 Europhys. Lett. 52 337
G.J. Kramer et al 2001 Nucl. Fusion 41 1135
R W Motley et al 1979 Plasma Phys. 21 567
A P Menushenkov et al 2009 J. Phys.: Conf. Ser. 190 012093
Kim-Vy H. Tran et al. 1999 ApJ 522 39
S Beguš and D Fefer 2007 Meas. Sci. Technol. 18 901
Maria Brzhezinskaya et al 2009 J. Phys.: Conf. Ser. 190 012135