Two-dimensional random-random walks: Dynamical exponents in a quenched directed model
Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the norm...
Ausführliche Beschreibung
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| Autor*in: |
Aslangul, Claude [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1991 |
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| Anmerkung: |
© Plenum Publishing Corporation 1991 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of statistical physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 65(1991), 3-4 vom: Nov., Seite 673-693 |
|---|---|
| Übergeordnetes Werk: |
volume:65 ; year:1991 ; number:3-4 ; month:11 ; pages:673-693 |
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| DOI / URN: |
10.1007/BF01053748 |
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| 520 | |a Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. | ||
| 700 | 1 | |a Barthélémy, Marc |4 aut | |
| 700 | 1 | |a Pottier, Noëlle |4 aut | |
| 700 | 1 | |a Saint-James, Daniel |4 aut | |
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10.1007/BF01053748 doi (DE-627)OLC2046571037 (DE-He213)BF01053748-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Aslangul, Claude verfasserin aut Two-dimensional random-random walks: Dynamical exponents in a quenched directed model 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1991 Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. Barthélémy, Marc aut Pottier, Noëlle aut Saint-James, Daniel aut Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 65(1991), 3-4 vom: Nov., Seite 673-693 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:65 year:1991 number:3-4 month:11 pages:673-693 https://doi.org/10.1007/BF01053748 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4126 GBV_ILN_4310 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 65 1991 3-4 11 673-693 |
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10.1007/BF01053748 doi (DE-627)OLC2046571037 (DE-He213)BF01053748-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Aslangul, Claude verfasserin aut Two-dimensional random-random walks: Dynamical exponents in a quenched directed model 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1991 Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. Barthélémy, Marc aut Pottier, Noëlle aut Saint-James, Daniel aut Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 65(1991), 3-4 vom: Nov., Seite 673-693 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:65 year:1991 number:3-4 month:11 pages:673-693 https://doi.org/10.1007/BF01053748 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4126 GBV_ILN_4310 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 65 1991 3-4 11 673-693 |
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10.1007/BF01053748 doi (DE-627)OLC2046571037 (DE-He213)BF01053748-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Aslangul, Claude verfasserin aut Two-dimensional random-random walks: Dynamical exponents in a quenched directed model 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1991 Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. Barthélémy, Marc aut Pottier, Noëlle aut Saint-James, Daniel aut Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 65(1991), 3-4 vom: Nov., Seite 673-693 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:65 year:1991 number:3-4 month:11 pages:673-693 https://doi.org/10.1007/BF01053748 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4126 GBV_ILN_4310 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 65 1991 3-4 11 673-693 |
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10.1007/BF01053748 doi (DE-627)OLC2046571037 (DE-He213)BF01053748-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Aslangul, Claude verfasserin aut Two-dimensional random-random walks: Dynamical exponents in a quenched directed model 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1991 Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. Barthélémy, Marc aut Pottier, Noëlle aut Saint-James, Daniel aut Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 65(1991), 3-4 vom: Nov., Seite 673-693 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:65 year:1991 number:3-4 month:11 pages:673-693 https://doi.org/10.1007/BF01053748 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4126 GBV_ILN_4310 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 65 1991 3-4 11 673-693 |
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10.1007/BF01053748 doi (DE-627)OLC2046571037 (DE-He213)BF01053748-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Aslangul, Claude verfasserin aut Two-dimensional random-random walks: Dynamical exponents in a quenched directed model 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1991 Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. Barthélémy, Marc aut Pottier, Noëlle aut Saint-James, Daniel aut Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 65(1991), 3-4 vom: Nov., Seite 673-693 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:65 year:1991 number:3-4 month:11 pages:673-693 https://doi.org/10.1007/BF01053748 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4037 GBV_ILN_4126 GBV_ILN_4310 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 65 1991 3-4 11 673-693 |
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Two-dimensional random-random walks: Dynamical exponents in a quenched directed model |
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Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. © Plenum Publishing Corporation 1991 |
| abstractGer |
Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. © Plenum Publishing Corporation 1991 |
| abstract_unstemmed |
Abstract This paper presents a study of the dynamics of a particle undergoing a directed random walk in a two-dimensional disordered square lattice. We derive the asymptotical behaviors of the coordinate and of the mean square displacement. All the dynamical exponents are calculated both in the normal and the anomalous regimes. It is shown that, as contrasted to the one-dimensional case, the so-called quenched and annealed diffusion “constants” indeed coincide. © Plenum Publishing Corporation 1991 |
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Two-dimensional random-random walks: Dynamical exponents in a quenched directed model |
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Barthélémy, Marc Pottier, Noëlle Saint-James, Daniel |
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