Extremal statistics in the energetics of domain walls

Eira T. Seppälä; M.J. Alava; P.M. Duxbury

doi:10.1103/PhysRevE.63.066110

Extremal statistics in the energetics of domain walls

Eira T. Seppälä, M.J. Alava, P.M. Duxbury

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Lataukset (Pure)

Abstrakti

We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.

Alkuperäiskieli	Englanti
Artikkeli	066110
Sivut	1-4
Julkaisu	Physical Review E
Vuosikerta	63
Numero	6
DOI - pysyväislinkit	https://doi.org/10.1103/PhysRevE.63.066110
Tila	Julkaistu - 2001
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Tutkimusalat

Interface and surface thermodynamics
Interface structure and roughness
random magnets

Pääsy asiakirjaan

10.1103/PhysRevE.63.066110

PhysRevE.63.066110Final published version, 73,9 KB

Sormenjälki Sukella tutkimusaiheisiin 'Extremal statistics in the energetics of domain walls'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

Siteeraa tätä

Seppälä, E. T., Alava, M. J., & Duxbury, P. M. (2001). Extremal statistics in the energetics of domain walls. Physical Review E, 63(6), 1-4. [066110]. https://doi.org/10.1103/PhysRevE.63.066110

@article{0f62030da83b4463bb63790b4275e919,

title = "Extremal statistics in the energetics of domain walls",

abstract = "We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.",

keywords = "Interface and surface thermodynamics, Interface structure and roughness, random magnets, Interface and surface thermodynamics, Interface structure and roughness, random magnets, Interface and surface thermodynamics, Interface structure and roughness, random magnets",

author = "Sepp{\"a}l{\"a}, {Eira T.} and M.J. Alava and P.M. Duxbury",

year = "2001",

doi = "10.1103/PhysRevE.63.066110",

language = "English",

volume = "63",

pages = "1--4",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Extremal statistics in the energetics of domain walls

AU - Seppälä, Eira T.

AU - Alava, M.J.

AU - Duxbury, P.M.

PY - 2001

Y1 - 2001

N2 - We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.

AB - We study at T=0 the minimum energy of a domain wall and its gap to the first excited state, concentrating on two-dimensional random-bond Ising magnets. The average gap scales as ΔE1∼Lθf(Nz), where f(y)∼[lny]−1/2, θ is the energy fluctuation exponent, L is the length scale, and Nz is the number of energy valleys. The logarithmic scaling is due to extremal statistics, which is illustrated by mapping the problem into the Kardar-Parisi-Zhang roughening process. It follows that the susceptibility of domain walls also has a logarithmic dependence on the system size.

KW - Interface and surface thermodynamics

KW - Interface structure and roughness

KW - random magnets

KW - Interface and surface thermodynamics

KW - Interface structure and roughness

KW - random magnets

KW - Interface and surface thermodynamics

KW - Interface structure and roughness

KW - random magnets

U2 - 10.1103/PhysRevE.63.066110

DO - 10.1103/PhysRevE.63.066110

M3 - Article

VL - 63

SP - 1

EP - 4

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

M1 - 066110

ER -