The influence of fixed spins on the thermodynamic behavior of an Ising ferromagnet

Issigoni, M.E.; Papatriantafillou, C.

doi:10.1007/bf01021084

J Stat Phys

1986

DOI: 10.1007/bf01021084

|View full text |Cite

The influence of fixed spins on the thermodynamic behavior of an Ising ferromagnet

M.E. Issigoni

C. Papatriantafillou

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1989

2013

Publication Types

Select...

Article6

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 8 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The same is true for the mean-field model studied in [12]. The roughening transition for the pure Ising model on the Cayley tree has also been considered in [13]. In this case, as there is no external field, half of the boundary spins are fixed up and the rest down in order to create an interface that passes through the central site.…”

mentioning

confidence: 99%

Morphology transition at depinning in a solvable model of interface growth in a random medium

Ohta¹,

Rosinberg²,

Tarjus³

2013

EPL

View full text Add to dashboard Cite

Ct -Interface structure and roughness PACS 75.10.Nr -Spin-glass and other random models PACS 75.78.Fg -Dynamics of domain structures Abstract -We propose a simple, exactly solvable, model of interface growth in a random medium that is a variant of the zero-temperature random-field Ising model on the Cayley tree. This model is shown to have a phase diagram (critical depinning field versus disorder strength) qualitatively similar to that obtained numerically on the cubic lattice. We then introduce a specifically tailored random graph that allows an exact asymptotic analysis of the height and width of the interface. We characterize the change of morphology of the interface as a function of the disorder strength, a change that is found to take place at a multicritical point along the depinning-transition line.

show abstract

mentioning

confidence: 99%

Morphology transition at depinning in a solvable model of interface growth in a random medium

Ohta¹,

Rosinberg²,

Tarjus³

2013

EPL

View full text Add to dashboard Cite

show abstract

Influence of disorder on the interface sharpness of an Ising ferromagnetic system

Papatriantafillou¹,

Issigoni²,

Paraskevaidis

1989

J Stat Phys

View full text Add to dashboard Cite

Thermodynamics of a model wih interacting annealed bond impurities on the Bethe lattice

1991

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

The influence of fixed spins on the thermodynamic behavior of an Ising ferromagnet

Cited by 8 publications

References 8 publications

Morphology transition at depinning in a solvable model of interface growth in a random medium

Morphology transition at depinning in a solvable model of interface growth in a random medium

Influence of disorder on the interface sharpness of an Ising ferromagnetic system

Thermodynamics of a model wih interacting annealed bond impurities on the Bethe lattice

Contact Info

Product

Resources

About