Dynamics of one-dimensional self-gravitating systems using Hermite–Legendre polynomials
نویسندگان
چکیده
منابع مشابه
Statistical mechanics of relativistic one-dimensional self-gravitating systems.
We consider the statistical mechanics of a general relativistic one-dimensional self-gravitating system. The system consists of N particles coupled to lineal gravity and can be considered as a model of N relativistically interacting sheets of uniform mass. The partition function and one-particle distribution functions are computed to leading order in 1/c where c is the speed of light; as c --> ...
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Though one dimensional self-gravitating N -body systems have been studied for three decade, the nature of relaxation was still unclear. There were inconsistent results about relaxation time; some initial state relaxed in the time scale T N t c , but another state did not relax even after T N 2 t c , where t c is the crossing time. The water-bag distribution was believed not to relax after T N 2...
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In this paper, we study the thermal relaxation in the one-dimensional self-gravitating system, or the so-called sheet model. According to the standard argument, the thermal relaxation time of the system is around Nt c , where N is the number of sheets and t c is the crossing time. It has been claimed that the system does not reach the thermal equilibrium in this thermal relaxation timescale, an...
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The microscopic dynamics of one-dimensional self-gravitating many-body systems is studied. We examine two courses of the evolution which has the isothermal and stationary water-bag distribution as initial conditions. We investigate the evolution of the systems toward thermal equilibrium. It is found that when the number of degrees of freedom of the system is increased, the water-bag distributio...
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This is the third paper of the series of our studies of the one-dimensional selfgravitating many-body systems. In our rst paper (Paper I), we found there are two stages in the relaxation of the water-bag to isothermal distribution, the microscopic relaxation and the macroscopic relaxation as the faster and the slower relaxation, respectively. In the second paper (Paper II), we derived the time ...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2013
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/stt2051