### Abstract

We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of Al^{-2}, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

Original language | English |
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Pages (from-to) | 685-693 |

Number of pages | 9 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 240 |

Issue number | 3-4 |

Publication status | Published - Jun 15 1997 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*240*(3-4), 685-693.

**Non-universal critical behaviour in mean-field theory of inhomogeneous systems.** / Iglói, F.; Palágyi, Gábor.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 240, no. 3-4, pp. 685-693.

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TY - JOUR

T1 - Non-universal critical behaviour in mean-field theory of inhomogeneous systems

AU - Iglói, F.

AU - Palágyi, Gábor

PY - 1997/6/15

Y1 - 1997/6/15

N2 - We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of Al-2, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

AB - We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of Al-2, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

UR - http://www.scopus.com/inward/record.url?scp=0031169037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031169037&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031169037

VL - 240

SP - 685

EP - 693

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -