Finite-size corrections to the density of states

被引：2

作者：

Woerner, C. H. ^{[1
]}

Munoz, E. ^{[1
]}

机构：

[1] Pontificia Univ Catolica Valparaiso, Inst Fis, Valparaiso 02, Chile

来源：

EUROPEAN JOURNAL OF PHYSICS | 2012年 / 33卷 / 05期

关键词：

LATTICE POINTS;

D O I：

10.1088/0143-0807/33/5/1465

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The counting of states used in the well-known calculus of the density of states is revisited with emphasis on the error involved in the standard calculation. For pedagogical reasons, we restrict our treatment mainly to the two-dimensional case. This question is discussed in connection with the mathematical Gauss circle problem. It is shown that the typical error involved is negligible when the number of states tends to infinity.

引用

页码：1465 / 1472

页数：8

共 50 条

[21] Finite-size corrections in the Sherrington-Kirkpatrick model
Aspelmeier, T.
Billoire, A.
Marinari, E.
Moore, M. A.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (32)
[22] On finite-size corrections to the free energy of ionic hydration
Figueirido, F
DelBueno, GS
Levy, RM
[J]. JOURNAL OF PHYSICAL CHEMISTRY B, 1997, 101 (29): : 5622 - 5623
[23] FINITE-SIZE CORRECTIONS IN THE QUANTUM HALL-EFFECT
SHAPIRO, B
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (24): : 4709 - 4721
[24] Finite-size corrections at the hard edge for the Laguerre β ensemble
Forrester, Peter J.
Trinh, Allan K.
[J]. STUDIES IN APPLIED MATHEMATICS, 2019, 143 (03) : 315 - 336
[25] Screening and finite-size corrections to the octupole and Schiff moments
Flambaum, V. V.
Kozlov, A.
[J]. PHYSICAL REVIEW C, 2012, 85 (06):
[26] Finite-size corrections to entanglement in quantum critical systems
Alcaraz, F. C.
Sarandy, M. S.
[J]. PHYSICAL REVIEW A, 2008, 78 (03):
[27] Finite-size corrections of an integrable chain with alternating spins
Dorfel, BD
Meissner, S
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (06): : 1831 - 1841
[28] Finite-size corrections to the free energies of crystalline solids
Polson, JM
Trizac, E
Pronk, S
Frenkel, D
[J]. JOURNAL OF CHEMICAL PHYSICS, 2000, 112 (12): : 5339 - 5342
[29] Control of the finite-size corrections in exact diagonalization studies
Gros, C
[J]. PHYSICAL REVIEW B, 1996, 53 (11): : 6865 - 6868
[30] Finite-size corrections in numerical simulation of liquid water
Belloni, Luc
[J]. JOURNAL OF CHEMICAL PHYSICS, 2018, 149 (09):

← 1 2 3 4 5 →