Time Dependence of Eulerian Velocity Correlation for the Duration of Richardson's Law

Nakao, Hajime

doi:10.1143/jpsj.62.6

J. Phys. Soc. Jpn.

1993

DOI: 10.1143/jpsj.62.6

|View full text |Cite

Time Dependence of Eulerian Velocity Correlation for the Duration of Richardson's Law

Hajime Nakao

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2000

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Six-vertex model with domain wall boundary conditions and one-matrix model

2000

View full text Add to dashboard Cite

The partition function of the six-vertex model on a square lattice with domain wall boundary conditions (DWBC) is rewritten as a hermitean one-matrix model or a discretized version of it (similar to sums over Young diagrams), depending on the phase. The expression is exact for finite lattice size, which is equal to the size of the corresponding matrix. In the thermodynamic limit, the matrix integral is computed using traditional matrix model techniques, thus providing a complete treatment of the bulk free energy of the six-vertex model with DWBC in the different phases. In particular, in the anti-ferroelectric phase, the bulk free energy and a subdominant correction are given exactly in terms of elliptic theta functions.

show abstract

Six-vertex model with domain wall boundary conditions and one-matrix model

2000

View full text Add to dashboard Cite

show abstract

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.

Time Dependence of Eulerian Velocity Correlation for the Duration of Richardson's Law

Cited by 1 publication

References 4 publications

Six-vertex model with domain wall boundary conditions and one-matrix model

Six-vertex model with domain wall boundary conditions and one-matrix model

Contact Info

Product

Resources

About