Stability of Hierarchical Interfaces in a Random Field Model

Anton Bovier; Christof Külske

doi:10.1007/BF01053784

Stability of Hierarchical Interfaces in a Random Field Model

Anton Bovier^*
, Christof Külske

^*Corresponding author voor dit werk

Onderzoeksoutput › Academic › peer review

4 Citaten (Scopus)

198 Downloads (Pure)

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We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimension D>3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.

Originele taal-2	English
Pagina's (van-tot)	79-110
Aantal pagina's	32
Tijdschrift	Journal of Statistical Physics
Volume	69
Nummer van het tijdschrift	1/2
DOI's	https://doi.org/10.1007/BF01053784
Status	Published - 1992
Extern gepubliceerd	Ja

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title = "Stability of Hierarchical Interfaces in a Random Field Model",

abstract = "We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimension D>3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.",

keywords = "renormalization of stochastic sequences, hierarchical model, interfaces, random-field Ising model, disordered systems",

author = "Anton Bovier and Christof K{\"u}lske",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "1992",

doi = "10.1007/BF01053784",

language = "English",

volume = "69",

pages = "79--110",

journal = "Journal of Statistical Physics",

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T1 - Stability of Hierarchical Interfaces in a Random Field Model

AU - Bovier, Anton

AU - Külske, Christof

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 1992

Y1 - 1992

N2 - We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimension D>3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.

AB - We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimension D>3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.

KW - renormalization of stochastic sequences

KW - hierarchical model

KW - interfaces

KW - random-field Ising model

KW - disordered systems

U2 - 10.1007/BF01053784

DO - 10.1007/BF01053784

M3 - Article

SN - 0022-4715

VL - 69

SP - 79

EP - 110

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1/2

ER -

Stability of Hierarchical Interfaces in a Random Field Model

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