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85038299894
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Some partial, unconclusive studies about interfaces in the driven lattice gas (Ref. have been reviewed in Ref
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Some partial, unconclusive studies about interfaces in the driven lattice gas (Ref. 31) have been reviewed in Ref. 21.
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85038285021
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This corresponds to the standard Monte Carlo method only if the time increment (formula presented) is drawn from a Poisson distribution. Taking constant (formula presented) involves some approximation. However, if the number of particle-hole pairs in the system is sufficiently large, the approximation is excellent. In particular, for a half filled system subject to an, drive (our model case), the minimum amount of particle-hole pairs present in the system will be of order (formula presented) which is large for large lattices
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This corresponds to the standard Monte Carlo method only if the time increment (formula presented) is drawn from a Poisson distribution. Taking constant (formula presented) involves some approximation. However, if the number of particle-hole pairs in the system is sufficiently large, the approximation is excellent. In particular, for a half filled system subject to an infinite drive (our model case), the minimum amount of particle-hole pairs present in the system will be of order (formula presented) which is large for large lattices.
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40
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85038327284
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See, for instance, N. T. J. Bailey, (Wiley, New York, 1964)
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See, for instance, N. T. J. Bailey, The Elements of Stochastic Processes (Wiley, New York, 1964).
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85038270915
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A. Guinier and G. Fournet, (Wiley, New York, 1955)
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Sur, A.5
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0021374779
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see also, and
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85038326882
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M. San Miguel and R. Toral, in Instabilities and Nonequilibrium Structures VI, edited by E. Tirapegui, J. Martínez, and R. Tiemann (Kluwer Academic, New York, 2001).
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52
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0035939436
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The (formula presented) behavior here is in contrast with the logarithmic growth that is assumed to govern a class of lattice models in which coarsening is not a direct consequence of surface tension. See, and
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The (formula presented) behavior here is in contrast with the logarithmic growth that is assumed to govern a class of lattice models in which coarsening is not a direct consequence of surface tension. See I. Dornic, H. Chaté, J. Chave, and H. Hinrichsen, Phys. Rev. Lett.87, 045701 (2001).
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Dornic, I.1
Chaté, H.2
Chave, J.3
Hinrichsen, H.4
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53
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85038331689
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More properly, one should speak here of “self-affinity,” given the underlying anisotropy (Ref
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More properly, one should speak here of “self-affinity,” given the underlying anisotropy (Ref. 19).
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54
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85038331252
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Extending some of our arguments to (formula presented) needs some care but the whole picture should still be valid, at least not far from (formula presented)
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Extending some of our arguments to (formula presented) needs some care but the whole picture should still be valid, at least not far from (formula presented)
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55
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85038283872
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Note that the Lifshitz-Slyozov-Wagner behavior is known to be valid in some cases in both (formula presented) and (formula presented) (Ref
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Note that the Lifshitz-Slyozov-Wagner behavior is known to be valid in some cases in both (formula presented) and (formula presented) (Ref. 5).
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