On relation between renormalized frequency and heat capacity for particles in an anharmonic potential

被引：0

作者：

Liu, Y. T. ^{[1
]}

Zhao, Y. H. ^{[1
]}

Zhong, Y. ^{[1
]}

Shen, J. M. ^{[1
]}

Zhang, J. H. ^{[2
]}

Liu, Q. H. ^{[1
]}

机构：

[1] Hunan Univ, Sch Theoret Phys, Sch Phys & Elect, Changsha 410082, Peoples R China

[2] Hunan Univ, Coll Mat Sci, Changsha 410082, Peoples R China

来源：

ANNALS OF PHYSICS | 2023年 / 457卷

基金：

中国国家自然科学基金;

关键词：

Renormalization; Anharmonicity; Heat capacity; Poincare-Lindstedt method; Classical orbits; Statistical law;

D O I：

10.1016/j.aop.2023.169405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormalization of the natural frequency of the periodic motion; and statistical mechanics claims that the anharmonicity causes a correction to the heat capacity of an ideal gas in the anharmonic potential. The orbital motion and thermal motion depend on the same an-harmonic parameters, but in different combinations. These two manners of combinations are fundamentally different, demon-strating that statistical law cannot emerge from the deterministic law for the many-body system.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：10

共 23 条

[1] Holographic relaxation of finite size isolated quantum systems [J].

Abajo-Arrastia, Javier ;

da Silva, Emilia ;

Lopez, Esperanza ;

Mas, Javier ;

Serantes, Alexandre .

JOURNAL OF HIGH ENERGY PHYSICS, 2014, (05) :1-33

[2] Holographic Thermalization, Stability of Anti-de Sitter Space, and the Fermi-Pasta-Ulam Paradox [J].

Balasubramanian, Venkat ;

Buchel, Alex ;

Green, Stephen R. ;

Lehner, Luis ;

Liebling, Steven L. .

PHYSICAL REVIEW LETTERS, 2014, 113 (07)

[3] Second-order structural phase transitions, free energy curvature, and temperature-dependent anharmonic phonons in the self-consistent harmonic approximation: Theory and stochastic implementation [J].

Bianco, Raffaello ;

Errea, Ion ;

Paulatto, Lorenzo ;

Calandra, Matteo ;

Mauri, Francesco .

PHYSICAL REVIEW B, 2017, 96 (01)

[4] Boson stars in AdS spacetime [J].

Buchel, Alex ;

Liebling, Steven L. ;

Lehner, Luis .

PHYSICAL REVIEW D, 2013, 87 (12)

[5] Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory [J].

Chen, LY ;

Goldenfeld, N ;

Oono, Y .

PHYSICAL REVIEW E, 1996, 54 (01) :376-394

[6] First-Principles Approach to Nonlinear Lattice Dynamics: Anomalous Spectra in PbTe [J].

Chen, Yue ;

Ai, Xinyuan ;

Marianetti, C. A. .

PHYSICAL REVIEW LETTERS, 2014, 113 (10)

[7] Renormalization group, secular term resummation and AdS (in)stability [J].

Craps, Ben ;

Evnin, Oleg ;

Vanhoof, Joris .

JOURNAL OF HIGH ENERGY PHYSICS, 2014, (10)

[8] On the nonlinear stability of asymptotically anti-de Sitter solutions [J].

Dias, Oscar J. C. ;

Horowitz, Gary T. ;

Marolf, Don ;

Santos, Jorge E. .

CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (23)

[9] Gravitational turbulent instability of anti-de Sitter space [J].

Dias, Oscar J. C. ;

Horowitz, Gary T. ;

Santos, Jorge E. .

CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (19)

[10]

Itzykson C., 2006, Quantum Field Theory

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