The thermodynamic limit for a crystal

C. Fefferman

doi:10.1007/BF01205785

The thermodynamic limit for a crystal

C. Fefferman

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Consider a crystal with nucleii fixed at the lattice points in Ω⊂ℝ³, interacting by Coulomb forces with quantized electrons in Ω. We prove that the pressure tends to a limit as Ω grows infinitely large.

Original language	English (US)
Pages (from-to)	289-311
Number of pages	23
Journal	Communications In Mathematical Physics
Volume	98
Issue number	3
DOIs	https://doi.org/10.1007/BF01205785
State	Published - Sep 1985

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01205785

Cite this

@article{0b418a1bccbb4d20b93ce4ac04d38260,

title = "The thermodynamic limit for a crystal",

abstract = "Consider a crystal with nucleii fixed at the lattice points in Ω⊂ℝ3, interacting by Coulomb forces with quantized electrons in Ω. We prove that the pressure tends to a limit as Ω grows infinitely large.",

author = "C. Fefferman",

year = "1985",

month = sep,

doi = "10.1007/BF01205785",

language = "English (US)",

volume = "98",

pages = "289--311",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - The thermodynamic limit for a crystal

AU - Fefferman, C.

PY - 1985/9

Y1 - 1985/9

N2 - Consider a crystal with nucleii fixed at the lattice points in Ω⊂ℝ3, interacting by Coulomb forces with quantized electrons in Ω. We prove that the pressure tends to a limit as Ω grows infinitely large.

AB - Consider a crystal with nucleii fixed at the lattice points in Ω⊂ℝ3, interacting by Coulomb forces with quantized electrons in Ω. We prove that the pressure tends to a limit as Ω grows infinitely large.

UR - http://www.scopus.com/inward/record.url?scp=0010184789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010184789&partnerID=8YFLogxK

U2 - 10.1007/BF01205785

DO - 10.1007/BF01205785

M3 - Article

AN - SCOPUS:0010184789

SN - 0010-3616

VL - 98

SP - 289

EP - 311

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

The thermodynamic limit for a crystal

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this