ITP OpenIR  > 理论物理所SCI论文
Entropy principle and complementary second law of thermodynamics for self-gravitating systems
He, Ping; Kang, Dong-Biao; He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
2010
发表期刊MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN0035-8711
卷号406期号:4页码:2678-2688
摘要The statistical mechanics of isolated collisionless self-gravitating systems is a long-held puzzle, which has not been successfully resolved for nearly 50 years. In this work, we employ a phenomenological entropy form of ideal gas, first proposed by White & Narayan, to revisit this issue. By calculating the first-order variation of the entropy, subject to the usual mass- and energy-conservation constraints, we obtain an entropy stationary equation. Incorporated with the Jeans equation, and by specifying some functional form for the anisotropy parameter beta, we numerically solve the two equations, and demonstrate that the velocity anisotropy parameter plays an important role in attaining a density profile that is finite in mass, energy and spatial extent. If incorporated again with some empirical density profile from simulations, our theoretical predictions of the anisotropy parameter, and the radial pseudo-phase-space density /Sigma 3(r) in the outer non-gravitationally degenerate region of the dark matter halo, agree rather well with the simulation data, and the predictions are also acceptable in the middle weak-degenerate region of the dark halo. The disagreements occur just in the inner strong-degenerate region because of the neglect of gravitational degeneracy. As far as we know, our results may be the first theoretical predictions based on the entropy principle that can partially match the empirical data. The second-order variational calculus reveals the seemingly paradoxical but actually complementary consequence that the equilibrium state of self-gravitating systems is the global minimum entropy state for the whole system under long-range violent relaxation, but simultaneously the local maximum entropy state for every and any small part of the system under short-range two-body relaxation and Landau damping. This minimum-maximum entropy duality means that the standard second law of thermodynamics needs to be re-expressed or generalized for self-gravitating systems. We believe that our findings, especially the complementary second law of thermodynamics, may provide crucial clues to the development of the statistical physics of self-gravitating systems as well as other long-range interaction systems.
部门归属[He, P; Kang, DB] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [He, P; Kang, DB] Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
关键词Dark-matter Halos Universal Density Profile Violent Relaxation Statistical-mechanics Phase-space Velocity Anisotropy Stellar-systems Galaxy Clusters H-functions Evolution
学科领域Physics
资助者Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805]
URL查看原文
收录类别SCI
资助者Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805] ; Chinese Academy of Sciences[KJCX3-SYW-N2, KJCX2.YW.W10]; National Basic Research Program of China[2010CB832805]
WOS记录号WOS:000280672600044
引用统计
被引频次:17[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5061
专题理论物理所SCI论文
通讯作者He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
He, Ping,Kang, Dong-Biao,He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China. Entropy principle and complementary second law of thermodynamics for self-gravitating systems[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2010,406(4):2678-2688.
APA He, Ping,Kang, Dong-Biao,&He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.(2010).Entropy principle and complementary second law of thermodynamics for self-gravitating systems.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,406(4),2678-2688.
MLA He, Ping,et al."Entropy principle and complementary second law of thermodynamics for self-gravitating systems".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 406.4(2010):2678-2688.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Entropy principle an(747KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[He, Ping]的文章
[Kang, Dong-Biao]的文章
[He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China]的文章
百度学术
百度学术中相似的文章
[He, Ping]的文章
[Kang, Dong-Biao]的文章
[He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China]的文章
必应学术
必应学术中相似的文章
[He, Ping]的文章
[Kang, Dong-Biao]的文章
[He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。