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3
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0001697794
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Springer, Berlin, P. L. Garrido, J. Marro
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G. Grinstein and M. A. Muñoz, in Fourth Granada Lectures in Computational Physics, edited by P. L. Garrido and J. Marro, Lecture Notes in Physics Vol. 493 (Springer, Berlin, 1997), p. 223.
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(1997)
Fourth Granada Lectures in Computational Physics
, pp. 223
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Grinstein, G.1
Muñoz, M.A.2
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9
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85037198052
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Percolation Structures and Processes, edited by G. Deutscher, R. Zallen, and J. Adler, Annals of the Israel Physical Society Vol. 5 (Adam Hilger, Bristol, 1983)
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Percolation Structures and Processes, edited by G. Deutscher, R. Zallen, and J. Adler, Annals of the Israel Physical Society Vol. 5 (Adam Hilger, Bristol, 1983).
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22
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85037240111
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An equivalent, and probably less confusing, way to write down the Langevin equation for the REF-FULLTEXT consists of omitting the square root of the [Formula Presented] term in it and substituting [Formula Presented] by [Formula Presented] in the noise correlator
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An equivalent, and probably less confusing, way to write down the Langevin equation for the REF-FULLTEXT consists of omitting the square root of the n term in it and substituting D by Dn(x, t) in the noise correlator.
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25
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3543028891
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M. A. Muñoz, G. Grinstein, R. Dickman, and R. Livi, Phys. Rev. Lett. 76, 451 (1996); PRLTAO
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(1996)
Phys. Rev. Lett.
, vol.76
, pp. 451
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Muñoz, M.A.1
Grinstein, G.2
Dickman, R.3
Livi, R.4
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26
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0001245814
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See also, PDNPDT
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See also M. A. Muñoz, G. Grinstein, R. Dickman, and R. Livi, Physica D 103, 485 (1997)
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(1997)
Physica D
, vol.103
, pp. 485
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Muñoz, M.A.1
Grinstein, G.2
Dickman, R.3
Livi, R.4
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31
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24144461458
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When a Fock-space formalism is employed to derive Eq. (2) from the master equation defining the process [Formula Presented], [Formula Presented], the [Formula Presented] are found to be related to coherent states. Alternatively, Eq. (2) can be obtained from the master equation by performing a Poissonian transformation (see Sec. I C); in this language the [Formula Presented] field in the conjugate field of the number of particles. It has been proved that both formalisms, i.e., the Fock-space and the Poissonian transformation, are rigorously equivalent and that the results obtained using any of them can be exactly translated into the other [see, JPHAC5
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When a Fock-space formalism is employed to derive Eq. (2) from the master equation defining the process A+A→0, the n(x, t) are found to be related to coherent states. Alternatively, Eq. (2) can be obtained from the master equation by performing a Poissonian transformation (see Sec. I C); in this language the n field in the conjugate field of the number of particles. It has been proved that both formalisms, i.e., the Fock-space and the Poissonian transformation, are rigorously equivalent and that the results obtained using any of them can be exactly translated into the other [see M. Droz and A. McKane, J. Phys. A 27, L467 (1994)].
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(1994)
J. Phys. A
, vol.27
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Droz, M.1
McKane, A.2
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35
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85037236258
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e-print cond-mat/9702217
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M. A. Muñoz and T. Hwa, e-print cond-mat/9702217.
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Muñoz, M.A.1
Hwa, T.2
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41
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85037240184
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See also C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985)
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See also C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985).
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42
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85037193060
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The condition that the boundary terms give a vanishing contribution to the integral has to be verified a posteriori to get a self-consistent derivation
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The condition that the boundary terms give a vanishing contribution to the integral has to be verified a posteriori to get a self-consistent derivation.
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43
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85037249673
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Langevin equations describing the annihilation process in terms of real variables have already appeared in the literature; see c11 and references therein
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Langevin equations describing the annihilation process in terms of real variables have already appeared in the literature; see 11 and references therein.
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45
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36149034024
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B. Lee, J. Phys. A 27, 2633 (1994). JPHAC5
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(1994)
J. Phys. A
, vol.27
, pp. 2633
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Lee, B.1
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