-
2
-
-
0004018025
-
-
Springer-Verlag, Berlin
-
R. Graham, Springer Tracts in Modern Physics, Vol. 66 (Springer-Verlag, Berlin, 1973); U. Deker, F. Haake, Phys. Rev. A 11, 2043 (1975)
-
(1973)
Springer Tracts in Modern Physics
, vol.66
-
-
Graham, R.1
-
3
-
-
0001702607
-
-
R. Graham, Springer Tracts in Modern Physics, Vol. 66 (Springer-Verlag, Berlin, 1973); U. Deker, F. Haake, Phys. Rev. A 11, 2043 (1975)
-
(1975)
Phys. Rev. A
, vol.11
, pp. 2043
-
-
Deker, U.1
Haake, F.2
-
4
-
-
0042635892
-
-
note
-
Note that since we are considering stochastic dynamics on a coarse-grained description level, these conservation laws do not necessarily just correspond to a symmetry of the effective Hamiltonian governing the static critical properties
-
-
-
-
6
-
-
0003232510
-
-
edited by C. Domb, J.L. Lebowitz, Academic Press, London
-
B. Schmittmann, R.K.P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 17 (Academic Press, London, 1995)
-
(1995)
Phase Transitions and Critical Phenomena
, vol.17
-
-
Schmittmann, B.1
Zia, R.K.P.2
-
7
-
-
0003499994
-
-
edited by C. Godrèche Cambridge University Press, Cambridge
-
For recent reviews, see: J. Krug, H. Spohn, in: Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godrèche (Cambridge University Press, Cambridge, 1990); T. Halpin-Healy, Y.-C. Zhang, Phys. Rep. 254, 215 (1995); A.L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); J. Krug, Adv. Phys. 46, 139 (1997)
-
(1990)
Solids Far from Equilibrium: Growth, Morphology and Defects
-
-
Krug, J.1
Spohn, H.2
-
8
-
-
0012575045
-
-
For recent reviews, see: J. Krug, H. Spohn, in: Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godrèche (Cambridge University Press, Cambridge, 1990); T. Halpin-Healy, Y.-C. Zhang, Phys. Rep. 254, 215 (1995); A.L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); J. Krug, Adv. Phys. 46, 139 (1997)
-
(1995)
Phys. Rep.
, vol.254
, pp. 215
-
-
Halpin-Healy, T.1
Zhang, Y.-C.2
-
9
-
-
0003431520
-
-
Cambridge University Press, Cambridge
-
For recent reviews, see: J. Krug, H. Spohn, in: Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godrèche (Cambridge University Press, Cambridge, 1990); T. Halpin-Healy, Y.-C. Zhang, Phys. Rep. 254, 215 (1995); A.L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); J. Krug, Adv. Phys. 46, 139 (1997)
-
(1995)
Fractal Concepts in Surface Growth
-
-
Barabási, A.L.1
Stanley, H.E.2
-
10
-
-
0031097281
-
-
For recent reviews, see: J. Krug, H. Spohn, in: Solids far from Equilibrium: Growth, Morphology and Defects, edited by C. Godrèche (Cambridge University Press, Cambridge, 1990); T. Halpin-Healy, Y.-C. Zhang, Phys. Rep. 254, 215 (1995); A.L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); J. Krug, Adv. Phys. 46, 139 (1997)
-
(1997)
Adv. Phys.
, vol.46
, pp. 139
-
-
Krug, J.1
-
13
-
-
3543030718
-
-
B. Schmittmann, R.K.P. Zia, Phys. Rev. Lett. 66, 357 (1991); B. Schmittmann, Europhys. Lett. 24, 109 (1993); K.E. Bassler, Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994); Phys. Rev. E 52, R9 (1995)
-
(1991)
Phys. Rev. Lett.
, vol.66
, pp. 357
-
-
Schmittmann, B.1
Zia, R.K.P.2
-
14
-
-
84956065804
-
-
B. Schmittmann, R.K.P. Zia, Phys. Rev. Lett. 66, 357 (1991); B. Schmittmann, Europhys. Lett. 24, 109 (1993); K.E. Bassler, Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994); Phys. Rev. E 52, R9 (1995)
-
(1993)
Europhys. Lett.
, vol.24
, pp. 109
-
-
Schmittmann, B.1
-
15
-
-
0001691462
-
-
B. Schmittmann, R.K.P. Zia, Phys. Rev. Lett. 66, 357 (1991); B. Schmittmann, Europhys. Lett. 24, 109 (1993); K.E. Bassler, Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994); Phys. Rev. E 52, R9 (1995)
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 1320
-
-
Bassler, K.E.1
Rácz, Z.2
-
16
-
-
3543030718
-
-
B. Schmittmann, R.K.P. Zia, Phys. Rev. Lett. 66, 357 (1991); B. Schmittmann, Europhys. Lett. 24, 109 (1993); K.E. Bassler, Z. Rácz, Phys. Rev. Lett. 73, 1320 (1994); Phys. Rev. E 52, R9 (1995)
-
(1995)
Phys. Rev. E
, vol.52
-
-
-
18
-
-
0043096553
-
-
U.C. Täuber, J.E. Santos, Z. Rácz, Eur. Phys. J. B 7, 309 (1999); e: ibid. 9, 567 (1999)
-
(1999)
Eur. Phys. J. B
, vol.7
, pp. 309
-
-
Täuber, U.C.1
Santos, J.E.2
Rácz, Z.3
-
19
-
-
0043096553
-
-
e
-
U.C. Täuber, J.E. Santos, Z. Rácz, Eur. Phys. J. B 7, 309 (1999); e: ibid. 9, 567 (1999)
-
(1999)
Eur. Phys. J. B
, vol.9
, pp. 567
-
-
-
20
-
-
34547999153
-
-
U.C. Täuber, V.K. Akkineni, J.E. Santos, Phys. Rev. Lett. 88, 045702 (2002); V.K. Akkineni, U.C. Täuber (unpublished)
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 45702
-
-
Täuber, U.C.1
Akkineni, V.K.2
Santos, J.E.3
-
21
-
-
85038298877
-
-
unpublished
-
U.C. Täuber, V.K. Akkineni, J.E. Santos, Phys. Rev. Lett. 88, 045702 (2002); V.K. Akkineni, U.C. Täuber (unpublished)
-
-
-
Akkineni, V.K.1
Täuber, U.C.2
-
22
-
-
33646489567
-
-
K. Kawasaki, Ann. Phys. (N.Y.) 61, 1 (1970); B.I. Halperin, P.C. Hohenberg, E.D. Siggia, Phys. Rev. Lett. 32, 1289 (1974); E.D. Siggia, B.I. Halperin, P.C. Hohenberg, Phys. Rev. B 13, 2010 (1976)
-
(1970)
Ann. Phys. (N.Y.)
, vol.61
, pp. 1
-
-
Kawasaki, K.1
-
23
-
-
24544434797
-
-
K. Kawasaki, Ann. Phys. (N.Y.) 61, 1 (1970); B.I. Halperin, P.C. Hohenberg, E.D. Siggia, Phys. Rev. Lett. 32, 1289 (1974); E.D. Siggia, B.I. Halperin, P.C. Hohenberg, Phys. Rev. B 13, 2010 (1976)
-
(1974)
Phys. Rev. Lett.
, vol.32
, pp. 1289
-
-
Halperin, B.I.1
Hohenberg, P.C.2
Siggia, E.D.3
-
24
-
-
33646489567
-
-
K. Kawasaki, Ann. Phys. (N.Y.) 61, 1 (1970); B.I. Halperin, P.C. Hohenberg, E.D. Siggia, Phys. Rev. Lett. 32, 1289 (1974); E.D. Siggia, B.I. Halperin, P.C. Hohenberg, Phys. Rev. B 13, 2010 (1976)
-
(1976)
Phys. Rev. B
, vol.13
, pp. 2010
-
-
Siggia, E.D.1
Halperin, B.I.2
Hohenberg, P.C.3
-
25
-
-
0000333234
-
-
R. Folk, G. Moser, Phys. Rev. E 57, 683 (1998); ibid. 705 (1998); G. Flossmann, R. Folk, G. Moser, Phys. Rev. E 60, 779 (1999)
-
(1998)
Phys. Rev. E
, vol.57
, pp. 683
-
-
Folk, R.1
Moser, G.2
-
26
-
-
0000333234
-
-
R. Folk, G. Moser, Phys. Rev. E 57, 683 (1998); ibid. 705 (1998); G. Flossmann, R. Folk, G. Moser, Phys. Rev. E 60, 779 (1999)
-
(1998)
Phys. Rev. E
, pp. 705
-
-
-
27
-
-
0001482159
-
-
R. Folk, G. Moser, Phys. Rev. E 57, 683 (1998); ibid. 705 (1998); G. Flossmann, R. Folk, G. Moser, Phys. Rev. E 60, 779 (1999)
-
(1999)
Phys. Rev. E
, vol.60
, pp. 779
-
-
Flossmann, G.1
Folk, R.2
Moser, G.3
-
30
-
-
0042635891
-
-
L.P. Kadanoff, J. Swift, Phys. Rev. 166, 89 (1968); K. Kawasaki, Phys. Lett. A 30, 325 (1969)
-
(1969)
Phys. Lett. A
, vol.30
, pp. 325
-
-
Kawasaki, K.1
-
32
-
-
0011984021
-
-
C. De Dominicis, J. Phys. Colloq. France 1, C-247 (1976); H.K. Janssen, Z. Phys. B 23, 377 (1976); R. Bausch, H.K. Janssen, H. Wagner, Z. Phys. B 24, 113 (1976)
-
(1976)
J. Phys. Colloq. France
, vol.1
-
-
De Dominicis, C.1
-
33
-
-
0000010252
-
-
C. De Dominicis, J. Phys. Colloq. France 1, C-247 (1976); H.K. Janssen, Z. Phys. B 23, 377 (1976); R. Bausch, H.K. Janssen, H. Wagner, Z. Phys. B 24, 113 (1976)
-
(1976)
Z. Phys. B
, vol.23
, pp. 377
-
-
Janssen, H.K.1
-
34
-
-
0000694609
-
-
C. De Dominicis, J. Phys. Colloq. France 1, C-247 (1976); H.K. Janssen, Z. Phys. B 23, 377 (1976); R. Bausch, H.K. Janssen, H. Wagner, Z. Phys. B 24, 113 (1976)
-
(1976)
Z. Phys. B
, vol.24
, pp. 113
-
-
Bausch, R.1
Janssen, H.K.2
Wagner, H.3
-
35
-
-
0043136799
-
-
note
-
Note that in the cases usually discussed in static critical phenomena, anisotropy is introduced in the order parameter space, e.g. by adding an easy axis energy term to the Hamiltonian. It is the very absence of detailed-balance constraints that gives us this additional freedom of introducing spatial anisotropy in the noise correlations here
-
-
-
-
36
-
-
0041633941
-
-
note
-
In the equilibrium theory, this is a very natural choice, as the transverse currents are non-critical modes. Thus their static response is only weakly temperature-dependent and essentially constant near the critical point
-
-
-
-
37
-
-
0041633942
-
-
note
-
0 as the inverse of equation (3.17) here. The subsequent RG analysis is of course independent of this choice
-
-
-
-
38
-
-
0042134931
-
-
note
-
0 finite
-
-
-
-
39
-
-
0042635890
-
-
note
-
0j̃j (q, ω) in the main text
-
-
-
-
40
-
-
0043136796
-
-
note
-
0
-
-
-
-
41
-
-
0041633943
-
-
note
-
ψ = Z = 1 holds only to one-loop order, i.e., the susceptibility (and consequently the exponent η) acquires higher order corrections
-
-
-
-
42
-
-
0043136797
-
-
note
-
Since the conserved current is a non-critical quantity, it does not show any critical slowing-down
-
-
-
-
43
-
-
35949035047
-
-
R.A. Cowley, Phys. Rev. B 13, 4877 (1976); R. Folk, H. Iro, F. Schwabl, Phys. Lett. A 57, 112 (1976); Z. Phys. B 25, 69 (1976)
-
(1976)
Phys. Rev. B
, vol.13
, pp. 4877
-
-
Cowley, R.A.1
-
44
-
-
6144267533
-
-
R.A. Cowley, Phys. Rev. B 13, 4877 (1976); R. Folk, H. Iro, F. Schwabl, Phys. Lett. A 57, 112 (1976); Z. Phys. B 25, 69 (1976)
-
(1976)
Phys. Lett. A
, vol.57
, pp. 112
-
-
Folk, R.1
Iro, H.2
Schwabl, F.3
-
45
-
-
35949035047
-
-
R.A. Cowley, Phys. Rev. B 13, 4877 (1976); R. Folk, H. Iro, F. Schwabl, Phys. Lett. A 57, 112 (1976); Z. Phys. B 25, 69 (1976)
-
(1976)
Z. Phys. B
, vol.25
, pp. 69
-
-
-
46
-
-
0005217631
-
-
E.M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 253 and 269 (1941); for reviews, see R.M. Kornreich, J. Magn. Magn. Mat. 15-18, 387 (1980); W. Selke, in: Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 15 (Academic Press, London, 1992), pp. 1-72; for recent developments, see H.W. Diehl, M. Shpot, Phys. Rev. B 62, 12338 (2000); H.W. Diehl, Nucl. Phys. B 612, 340 (2001)
-
(1941)
Zh. Eksp. Teor. Fiz.
, vol.11
, pp. 253
-
-
Lifshitz, E.M.1
-
47
-
-
0000312824
-
-
E.M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 253 and 269 (1941); for reviews, see R.M. Kornreich, J. Magn. Magn. Mat. 15-18, 387 (1980); W. Selke, in: Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 15 (Academic Press, London, 1992), pp. 1-72; for recent developments, see H.W. Diehl, M. Shpot, Phys. Rev. B 62, 12338 (2000); H.W. Diehl, Nucl. Phys. B 612, 340 (2001)
-
(1980)
J. Magn. Magn. Mat.
, vol.15-18
, pp. 387
-
-
Kornreich, R.M.1
-
48
-
-
0003242030
-
-
edited by C. Domb, J.L. Lebowitz, Academic Press, London
-
E.M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 253 and 269 (1941); for reviews, see R.M. Kornreich, J. Magn. Magn. Mat. 15-18, 387 (1980); W. Selke, in: Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 15 (Academic Press, London, 1992), pp. 1-72; for recent developments, see H.W. Diehl, M. Shpot, Phys. Rev. B 62, 12338 (2000); H.W. Diehl, Nucl. Phys. B 612, 340 (2001)
-
(1992)
Phase Transitions and Critical Phenomena
, vol.15
, pp. 1-72
-
-
Selke, W.1
-
49
-
-
0034312873
-
-
E.M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 253 and 269 (1941); for reviews, see R.M. Kornreich, J. Magn. Magn. Mat. 15-18, 387 (1980); W. Selke, in: Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 15 (Academic Press, London, 1992), pp. 1-72; for recent developments, see H.W. Diehl, M. Shpot, Phys. Rev. B 62, 12338 (2000); H.W. Diehl, Nucl. Phys. B 612, 340 (2001)
-
(2000)
Phys. Rev. B
, vol.62
, pp. 12338
-
-
Diehl, H.W.1
Shpot, M.2
-
50
-
-
0035486386
-
-
E.M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 253 and 269 (1941); for reviews, see R.M. Kornreich, J. Magn. Magn. Mat. 15-18, 387 (1980); W. Selke, in: Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, Vol. 15 (Academic Press, London, 1992), pp. 1-72; for recent developments, see H.W. Diehl, M. Shpot, Phys. Rev. B 62, 12338 (2000); H.W. Diehl, Nucl. Phys. B 612, 340 (2001)
-
(2001)
Nucl. Phys. B
, vol.612
, pp. 340
-
-
Diehl, H.W.1
-
51
-
-
0043136795
-
-
note
-
0ψ̃[j̃▽⊥ψ](-q,-ω)]
-
-
-
|