Long-time behavior and relaxation of power-law correlation in one-dimensional self-gravitating system

نویسندگان

  • Hiroko KOYAMA
  • Tetsuro KONISHI
چکیده

Long-time behavior of spatial power-law correlation in one-dimensional self-gravitating system is numerically investigated. It is found that the power-law structure persists even after the system is virialized. The structure gradually disappears owing to energy exchange among particles. Energy distribution is quasi-stationary after the system is virialized.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hierarchical clustering and formation of power-law correlation in 1-dimensional self-gravitating system

The process of formation of fractal structure in one-dimensional self-gravitating system is examined numerically. It is clarified that structures created in small spatial scale grow up to larger scale through clustering of clusters, and form power-law correlation.

متن کامل

Thermal Relaxation in One-Dimensional Self-Gravitating Systems

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...

متن کامل

Emergence of power-law correlation in 1-dimensional self-gravitating system

A new phase of temporal evolution of the one-dimensional selfgravitating system is numerically discovered. Fractal structure is dynamically created from non-fractal initial conditions. Implication to astrophysics and mathematical physics is discussed.

متن کامل

Statistical Mechanics of Self–Gravitating System : Cluster Expansion Method

We study statistical mechanics of the self–gravitating system applying the cluster expansion method developed in solid state physics. By summing infinite series of diagrams, we derive a complex free energy whose imaginary part is related to the relaxation time of the system. Summation of another series yields two–point correlation function whose correlation length is essentially given by the Je...

متن کامل

Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model

We discuss the dynamics and thermodynamics of the Hamiltonian Mean Field model (HMF) which is a prototypical system with long-range interactions. The HMF model can be seen as the one Fourier component of a one-dimensional self-gravitating system. Interestingly, it exhibits many features of real self-gravitating systems (violent relaxation, persistence of metaequilibrium states, slow collisional...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001