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5
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85035267933
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J. S. Langer, in Chance and Matter, edited by J. Souleti, J. Anninemus, and R. Stora, Les Houches XLVI, 1986 (Elsevier Science, Amsterdam, 1987)
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J. S. Langer, in Chance and Matter, edited by J. Souleti, J. Anninemus, and R. Stora, Les Houches XLVI, 1986 (Elsevier Science, Amsterdam, 1987);
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8
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36149049574
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M. Doi, J. Phys. A 9, 1465 (1976).
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Doi, M.1
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85035301059
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See e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984)
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See e.g., D. J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984).
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16
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85035288579
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By “generic” we refer to systems that have nonzero probability current in configuration space [the terms enclosed by large parentheses in Eq. (A3)] even in stationary states. In the master equation, this corresponds to the breakdown of detailed balance, i.e., the right-hand side of Eq. (2) does not vanish term-by-term in stationary states but only after summation. Usually this is also accompanied by a breakdown of the fluctuation-dissipation theorem, and the lack of a well-defined free energy
-
By “generic” we refer to systems that have nonzero probability current in configuration space [the terms enclosed by large parentheses in Eq. (A3)] even in stationary states. In the master equation, this corresponds to the breakdown of detailed balance, i.e., the right-hand side of Eq. (2) does not vanish term-by-term in stationary states but only after summation. Usually this is also accompanied by a breakdown of the fluctuation-dissipation theorem, and the lack of a well-defined free energy.
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17
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85035282001
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For critical properties, this is not a serious problem because the relevant physics is in the long-wavelength, long-time limits, where by virtue of universality, a kinetic equation postulated solely by symmetry considerations is sufficient. However, this often requires physical intuition and insight, whereas the present method does not
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For critical properties, this is not a serious problem because the relevant physics is in the long-wavelength, long-time limits, where by virtue of universality, a kinetic equation postulated solely by symmetry considerations is sufficient. However, this often requires physical intuition and insight, whereas the present method does not.
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18
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0013402752
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Similar approaches exist in other contexts, such as in the surface growth problem, where the equation of motion for the surface profile may be derived by approximating the transtion rate by a power series in the slow variable (the height difference), followed by taking the continuum limit. See Z. Racz, M. Siegert, D. Liu, and M. Plischke, Phys. Rev. A 43, 5275 (1991).
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Racz, Z.1
Siegert, M.2
Liu, D.3
Plischke, M.4
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19
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85035268035
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Due to factorizations, terms of (Formula presented) and higher are absent where n is the number of spins involved in the energetics in w of Eq. (2). For Glauber dynamics, (Formula presented)
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Due to factorizations, terms of (Formula presented) and higher are absent where n is the number of spins involved in the energetics in w of Eq. (2). For Glauber dynamics, (Formula presented)
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23
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0012624701
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M. F. Sykes, D. S. Gaunt, P. D. Roberts, and J. A. Wyles, J. Phys. A 5, 624 (1972).
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Wyles, J.A.4
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24
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43949148085
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See, e.g., D. P. Landau, Physica A 205, 41 (1994).
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Physica A
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Landau, D.P.1
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25
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0000234352
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B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1995), Vol. 17, and references therein
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S. Katz, J. L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983);B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1995), Vol. 17, and references therein.
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Phys. Rev. B
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Katz, S.1
Lebowitz, J.L.2
Spohn, H.3
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0000885206
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B. Schmittmann, H. K. Janssen, U. C. Täuber, R. K. P. Zia, K.-t. Leung, and J. L. Cardy, Phys. Rev. E 61, 5977 (2000).
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Phys. Rev. E
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Schmittmann, B.1
Janssen, H.K.2
Täuber, U.C.3
Zia, R.K.P.4
Leung, K.-t.5
Cardy, J.L.6
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34
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0009283604
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G. Korniss, Ph.D. dissertation, Virginia Polytechnic Institute and State University, 1997 (unpublished)
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G. Korniss and B. Schmittmann, Phys. Rev. E 56, 4072 (1997);G. Korniss, Ph.D. dissertation, Virginia Polytechnic Institute and State University, 1997 (unpublished).
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Phys. Rev. E
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Korniss, G.1
Schmittmann, B.2
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