Comparative study of the critical behavior in one-dimensional random and aperiodic environments

F. Iglói, D. Karevski, H. Rieger

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We consider cooperative processes (quantum spin chains and random walks) in one-dimensional fluctuating random and aperiodic environments characterized by fluctuating exponents ω > 0. At the critical point the random and aperiodic systems scale essentially anisotropically in a similar fashion: length (L) and time (t) scales are related as L ∼ (lnt)1/ω. Also some critical exponents, characterizing the singularities of average quantities, are found to be universal functions of ω, whereas some others do depend on details of the distribution of the disorder. In the off-critical region there is an important difference between the two types of environments: in aperiodic systems there are no extra (Griffiths)-singularities.

Original languageEnglish
Pages (from-to)613-625
Number of pages13
JournalEuropean Physical Journal B
Volume5
Issue number3
Publication statusPublished - 1998

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exponents
random walk
critical point
disorders

Keywords

  • 05.50.+q Lattice theory and statistics; Ising problems
  • 64.60.Ak Renormalization-group, fractal, and percolation studies of phase transitions
  • 68.35.Rh Phase transitions and critical phenomena

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Comparative study of the critical behavior in one-dimensional random and aperiodic environments. / Iglói, F.; Karevski, D.; Rieger, H.

In: European Physical Journal B, Vol. 5, No. 3, 1998, p. 613-625.

Research output: Contribution to journalArticle

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