Specific heat of multifractal energy spectra

被引：13

作者：

Da Silva, L.R. ^{[1
]}

Vallejos, R.O. ^{[1
]}

Tsallis, C. ^{[1
]}

Mendes, R.S. ^{[1
]}

Roux, S. ^{[1
]}

机构：

[1] Depto. De Fisica Teorica e Exp., Univ. Federal do Rio Grande do Norte, 59072-970 Natal, RN, Brazil

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 64卷 / 1 I期

关键词：

Computer simulation - Electron energy levels - Iterative methods - Mathematical transformations - Numerical analysis - Oscillations - Quasicrystals - Spectrum analysis;

D O I：

10.1103/PhysRevE.64.011104

中图分类号：

学科分类号：

摘要：

Multifractal energy spectra were studied via direct numerical simulations, concerning the cumulative density of states and the specific heat. A closed form expression for the amplitude of the log oscillations that are expected in the specific heat was given. It was demonstrated that when the frequency is high, the amplitude of the oscillations is rapidly decaying due to intrinsic filtering that can be related to the form of the Boltzmann weight.

引用

页码：1 / 011104

共 50 条

[41] Collective electron energy and specific heat
Stoner, EC
[J]. PHILOSOPHICAL MAGAZINE, 1938, 25 (171): : 899 - 926
[42] Energy fluctuation and discontinuity of specific heat
Biswas, Shyamal
Mitra, Joydip
Bhattacharyya, Saugata
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2015,
[43] Infrared spectra of ammonium salts in the anomalous specific heat
Pohlman, R.
[J]. ZEITSCHRIFT FUR PHYSIK, 1932, 79 (5-6): : 394 - 420
[44] Multifractal Spectra of Random Self-Affine Multifractal Sierpinski Sponges in Rd
Fraser, J. M.
Olsen, L.
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2011, 60 (03) : 937 - 983
[45] Multifractal spectra as a measure of complexity in human posture
Shimizu, Y
Thurner, S
Ehrenberger, K
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2002, 10 (01) : 103 - 116
[46] Multifractal spectra classification of flame luminosity waveforms
Smolarz, Andrzej
Lytvynenko, Volodymyr
Wojcik, Waldemar
Didyk, Oleksiy
Mussabekova, Assel
[J]. PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH-ENERGY PHYSICS EXPERIMENTS 2018, 2018, 10808
[47] Evaluation of some calculated partial multifractal spectra
Chen, HP
Sun, X
Chen, HX
Wu, ZQ
Wang, BH
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (17-19): : 2569 - 2574
[48] Multifractal spectra and the relaxation of model polymer networks
Blumen, A
Jurjiu, A
[J]. JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (06): : 2636 - 2641
[49] BILIPSCHITZ AND QUASICONFORMAL ROTATION, STRETCHING AND MULTIFRACTAL SPECTRA
Astala, Kari
Iwaniec, Tadeusz
Prause, Istvan
Saksman, Eero
[J]. PUBLICATIONS MATHEMATIQUES DE L IHES, 2015, (121): : 113 - 154
[50] On the spin wave multifractal spectra in magnetic multilayers
Bezerra, CG
Albuquerque, EL
Nogueira, E
[J]. PHYSICA A, 1999, 267 (1-2): : 124 - 130

← 1 2 3 4 5 →