Non-equilibrium fluctuations in the ring of material points with gravity

被引:1
作者
Melkikh, E. A. [1 ]
Melkikh, A. V. [1 ]
Tokmantsev, V. I. [1 ]
机构
[1] Ural Fed Univ, Mira Str 19, Ekaterinburg, Russia
来源
MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 01期
关键词
System with gravity; non-equilibrium fluctuations; long-range interactions; distribution function; entropy; THERMODYNAMICS; MECHANICS; SYSTEMS;
D O I
10.1142/S021798491650425X
中图分类号
O59 [应用物理学];
学科分类号
摘要
As a result of numerical modeling the dependence of relative mean-square fluctuation of evaporating particles for the ring of material points interacting via gravitational forces is obtained. It is shown that this dependence is 1/N-alpha, where a = 0.390.6 for different virial ratios. The dependence of a fraction of evaporated particles on the width of the ring and on the ratio between the average kinetic and potential energy of the particles is obtained. The dependence of mean square deviation of fraction of evaporated particles on time was investigated. It was concluded that the concept entropy (as well as other thermodynamical parameters) could not be correctly introduced in the systems with gravity.
引用
收藏
页数:8
相关论文
共 23 条
[1]   25 Years of Self-Organized Criticality: Solar and Astrophysics [J].
Aschwanden, Markus J. ;
Crosby, Norma B. ;
Dimitropoulou, Michaila ;
Georgoulis, Manolis K. ;
Hergarten, Stefan ;
McAteer, James ;
Milovanov, Alexander V. ;
Mineshige, Shin ;
Morales, Laura ;
Nishizuka, Naoto ;
Pruessner, Gunnar ;
Sanchez, Raul ;
Sharma, A. Surja ;
Strugarek, Antoine ;
Uritsky, Vadim .
SPACE SCIENCE REVIEWS, 2016, 198 (1-4) :47-166
[2]   Nonequilibrium Stationary States of 3D Self-Gravitating Systems [J].
Benetti, Fernanda P. C. ;
Ribeiro-Teixeira, Ana C. ;
Pakter, Renato ;
Levin, Yan .
PHYSICAL REVIEW LETTERS, 2014, 113 (10)
[3]   Nonequilibrium statistical mechanics of a two-temperature Ising ring with conserved dynamics [J].
Borchers, Nicholas ;
Pleimling, Michel ;
Zia, R. K. P. .
PHYSICAL REVIEW E, 2014, 90 (06)
[4]   Thermodynamics and dynamics of systems with long-range interactions [J].
Bouchet, Freddy ;
Gupta, Shamik ;
Mukamel, David .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (20) :4389-4405
[5]   Statistical mechanics and dynamics of solvable models with long-range interactions [J].
Campa, Alessandro ;
Dauxois, Thierry ;
Ruffo, Stefano .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 480 (3-6) :57-159
[6]   Cluster-factorized steady states in finite-range processes [J].
Chatterjee, Amit ;
Pradhan, Punyabrata ;
Mohanty, P. K. .
PHYSICAL REVIEW E, 2015, 92 (03)
[7]   Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences [J].
Crooks, GE .
PHYSICAL REVIEW E, 1999, 60 (03) :2721-2726
[8]   RAPID DYNAMICAL CHAOS IN AN EXOPLANETARY SYSTEM [J].
Deck, Katherine M. ;
Holman, Matthew J. ;
Agol, Eric ;
Carter, Joshua A. ;
Lissauer, Jack J. ;
Ragozzine, Darin ;
Winn, Joshua N. .
ASTROPHYSICAL JOURNAL LETTERS, 2012, 755 (01)
[9]   Out-of-equilibrium fluctuations in stochastic long-range interacting systems [J].
Gupta, Shamik ;
Dauxois, Thierry ;
Ruffo, Stefano .
EPL, 2016, 113 (06)
[10]   Steady-state thermodynamics of Langevin systems [J].
Hatano, T ;
Sasa, S .
PHYSICAL REVIEW LETTERS, 2001, 86 (16) :3463-3466