Calculation of a characteristic fractal dimension in the one-dimensional random field ising model

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

By exploiting the connection with the problem of a repeller in a one dimensional map a new method is applied to calculate a fractal dimension characterising the local field. It is determined analytically in powers of the strength of the random field and also by an iteration procedure.

Original languageEnglish
Pages (from-to)337-339
Number of pages3
JournalZeitschrift für Physik B Condensed Matter
Volume65
Issue number3
DOIs
Publication statusPublished - Sep 1987

Fingerprint

Ising model
Fractal dimension
iteration
fractals

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Calculation of a characteristic fractal dimension in the one-dimensional random field ising model. / Szépfalusy, P.; Behn, U.

In: Zeitschrift für Physik B Condensed Matter, Vol. 65, No. 3, 09.1987, p. 337-339.

Research output: Contribution to journalArticle

@article{f3cda5c5a64849049dd7bdf659335a79,
title = "Calculation of a characteristic fractal dimension in the one-dimensional random field ising model",
abstract = "By exploiting the connection with the problem of a repeller in a one dimensional map a new method is applied to calculate a fractal dimension characterising the local field. It is determined analytically in powers of the strength of the random field and also by an iteration procedure.",
author = "P. Sz{\'e}pfalusy and U. Behn",
year = "1987",
month = "9",
doi = "10.1007/BF01303720",
language = "English",
volume = "65",
pages = "337--339",
journal = "Zeitschrift für Physik B Condensed Matter and Quanta",
issn = "1434-6028",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Calculation of a characteristic fractal dimension in the one-dimensional random field ising model

AU - Szépfalusy, P.

AU - Behn, U.

PY - 1987/9

Y1 - 1987/9

N2 - By exploiting the connection with the problem of a repeller in a one dimensional map a new method is applied to calculate a fractal dimension characterising the local field. It is determined analytically in powers of the strength of the random field and also by an iteration procedure.

AB - By exploiting the connection with the problem of a repeller in a one dimensional map a new method is applied to calculate a fractal dimension characterising the local field. It is determined analytically in powers of the strength of the random field and also by an iteration procedure.

UR - http://www.scopus.com/inward/record.url?scp=0008237598&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0008237598&partnerID=8YFLogxK

U2 - 10.1007/BF01303720

DO - 10.1007/BF01303720

M3 - Article

VL - 65

SP - 337

EP - 339

JO - Zeitschrift für Physik B Condensed Matter and Quanta

JF - Zeitschrift für Physik B Condensed Matter and Quanta

SN - 1434-6028

IS - 3

ER -