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Phase recurrences and metastability in a one-dimensional solid

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Phase recurrences and metastability in a one-dimensional solid. / Lambert, Colin; Beale, P. D. ; Thorpe, M. F. .
In: Physical review B, Vol. 27, No. 9, 12.05.1983, p. 5860-5863.

Research output: Contribution to Journal/Magazine › Comment/debate › peer-review

Harvard

Lambert, C, Beale, PD & Thorpe, MF 1983, 'Phase recurrences and metastability in a one-dimensional solid', Physical review B, vol. 27, no. 9, pp. 5860-5863. https://doi.org/10.1103/PhysRevB.27.5860

APA

Lambert, C., Beale, P. D., & Thorpe, M. F. (1983). Phase recurrences and metastability in a one-dimensional solid. Physical review B, 27(9), 5860-5863. https://doi.org/10.1103/PhysRevB.27.5860

Vancouver

Lambert C, Beale PD, Thorpe MF. Phase recurrences and metastability in a one-dimensional solid. Physical review B. 1983 May 12;27(9):5860-5863. doi: 10.1103/PhysRevB.27.5860

Author

Lambert, Colin ; Beale, P. D. ; Thorpe, M. F. . / Phase recurrences and metastability in a one-dimensional solid. In: Physical review B. 1983 ; Vol. 27, No. 9. pp. 5860-5863.

Bibtex

@article{72cc924ede0a4501970702bd7417430c,
title = "Phase recurrences and metastability in a one-dimensional solid",
abstract = "The inverse localization length α (and hence resistance) of a one-dimensional disordered solid can be expressed in terms of a cumulative phase ε which obeys a nonlinear finite-difference equation. We examine this equation in the limit of zero disorder and obtain an expression for probability distribution P(ε). In the band-gap region, there is a stable fixed point leading to a nonzero α. At discrete points within a band there are metastable attractors with period ≥ 2 which for a small amount of disorder can lead to anomalies in α.",
author = "Colin Lambert and Beale, {P. D.} and Thorpe, {M. F.}",
year = "1983",
month = may,
day = "12",
doi = "10.1103/PhysRevB.27.5860",
language = "English",
volume = "27",
pages = "5860--5863",
journal = "Physical review B",
issn = "0163-1829",
publisher = "AMER PHYSICAL SOC",
number = "9",

}

RIS

TY - JOUR

T1 - Phase recurrences and metastability in a one-dimensional solid

AU - Lambert, Colin

AU - Beale, P. D.

AU - Thorpe, M. F.

PY - 1983/5/12

Y1 - 1983/5/12

N2 - The inverse localization length α (and hence resistance) of a one-dimensional disordered solid can be expressed in terms of a cumulative phase ε which obeys a nonlinear finite-difference equation. We examine this equation in the limit of zero disorder and obtain an expression for probability distribution P(ε). In the band-gap region, there is a stable fixed point leading to a nonzero α. At discrete points within a band there are metastable attractors with period ≥ 2 which for a small amount of disorder can lead to anomalies in α.

AB - The inverse localization length α (and hence resistance) of a one-dimensional disordered solid can be expressed in terms of a cumulative phase ε which obeys a nonlinear finite-difference equation. We examine this equation in the limit of zero disorder and obtain an expression for probability distribution P(ε). In the band-gap region, there is a stable fixed point leading to a nonzero α. At discrete points within a band there are metastable attractors with period ≥ 2 which for a small amount of disorder can lead to anomalies in α.

U2 - 10.1103/PhysRevB.27.5860

DO - 10.1103/PhysRevB.27.5860

M3 - Comment/debate

VL - 27

SP - 5860

EP - 5863

JO - Physical review B

JF - Physical review B

SN - 0163-1829

IS - 9

ER -