Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems

doi:10.1088/1674-1056/24/8/088902

中国物理B ›› 2015, Vol. 24 ›› Issue (8): 88902-088902.doi: 10.1088/1674-1056/24/8/088902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems

A. Giri^a, Nilangshu K. Das^b, P. Barat^a

a Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India;
b Indira Gandhi Centre for Atomic Research, Kalpakkam 603102, India

收稿日期:2014-12-12 修回日期:2015-02-16 出版日期:2015-08-05 发布日期:2015-08-05

Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems

A. Giri^a, Nilangshu K. Das^b, P. Barat^a

a Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India;
b Indira Gandhi Centre for Atomic Research, Kalpakkam 603102, India

Received:2014-12-12 Revised:2015-02-16 Online:2015-08-05 Published:2015-08-05
Contact: A. Giri E-mail:amal.vu@gmail.com

摘要/Abstract

摘要： We present a study of the equilibration process of some nonequilibrium crystalline systems by means of molecular dynamics simulation technique. The nonequilibrium conditions are achieved in the systems by randomly defining velocity components of the constituent atoms. The calculated Shannon entropy from the probability distribution of the kinetic energy among the atoms at different instants during the process of equilibration shows oscillation as the system relaxes towards equilibrium. Fourier transformations of these oscillating Shannon entropies reveal the existence of Debye frequency of the concerned system.

关键词: entropy and other measures of information, nonequilibrium and irreversible thermodynamics

Abstract: We present a study of the equilibration process of some nonequilibrium crystalline systems by means of molecular dynamics simulation technique. The nonequilibrium conditions are achieved in the systems by randomly defining velocity components of the constituent atoms. The calculated Shannon entropy from the probability distribution of the kinetic energy among the atoms at different instants during the process of equilibration shows oscillation as the system relaxes towards equilibrium. Fourier transformations of these oscillating Shannon entropies reveal the existence of Debye frequency of the concerned system.

Key words: entropy and other measures of information, nonequilibrium and irreversible thermodynamics

中图分类号: (Entropy and other measures of information)

89.70.Cf

05.70.Ln (Nonequilibrium and irreversible thermodynamics)

A. Giri, Nilangshu K. Das, P. Barat. Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems[J]. 中国物理B, 2015, 24(8): 88902-088902.

A. Giri, Nilangshu K. Das, P. Barat. Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems[J]. Chin. Phys. B, 2015, 24(8): 88902-088902.

参考文献 16

[1]	Seifert Udo 2012 Rep. Prog. Phys. 75 126001
[2]	Gallavotti Giovanni 1996 Phys. Rev. Lett. 77 4334
[3]	Kubo R 1966 Rep. Prog. Phys. 29 255
[4]	Shannon C E 1948 The Bell System Technical Journal 27 379
[5]	Barat P, Giri A, Bhattacharya M, Das Nilangshu K and Dutta A 2013 Europhys. Lett. 104 50003
[6]	http://micro.standford.edu/caiwei/Forum/2004-12-12-MD++/
[7]	Daw M S and Baskes M I 1984 Phys. Rev. B 29 6443
[8]	Daw M S, Foiles S M and Baskes M I 1993 Mater. Sci. Rep. 9 251
[9]	Ercolessi F and Adams J B 1994 Europhys. Lett. 26 583
[10]	Lennard-Jones J E 1924 Proc. R. Soc. Lond. A 106 463
[11]	Finnis M W and Sinclair J E 1984 Phil. Mag. A 50 45
[12]	David Sands and Jeremy Dunning-Davies arXiv:1301.1364
[13]	Ho C Y, Powell RWand Liley P E 1975 Journal of Physical and Chemical Reference Data, Volume 3, Supplement No. 1
[14]	Stewart G R 1983 Rev. Sci. Instrum. 54 1
[15]	Chakrabarti C G and Chakrabarty I 2006 Mod. Phys. Lett. B 20 1471
[16]	Fundamentals of Statistical and Thermal Physics, Section A.12: The H theorem and the approach to equilibrium, F. Reif

Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems

Oscillatory Shannon entropy in the process of equilibration of nonequilibrium crystalline systems

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 16

相关文章 2

Metrics

本文评价

推荐阅读 0

[1]	王晨, 徐大智. A polaron theory of quantum thermal transistor in nonequilibrium three-level systems[J]. 中国物理B, 2020, 29(8): 80504-080504.
[2]	陈许敏, 王晨. Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system:A polaron-transformed Redfield approach[J]. 中国物理B, 2019, 28(5): 50502-050502.