Statistical mechanics of gravitating systems: An Overview Export

@article{citeulike:3796581, abstract = {I review several issues related to statistical description of gravitating systems in both static and expanding backgrounds. After briefly reviewing the results for the static background, I concentrate on gravitational clustering of collisionless particles in an expanding universe. In particular, I describe (a) how the non linear mode-mode coupling transfers power from one scale to another in the Fourier space if the initial power spectrum is sharply peaked at a given scale and (b) the asymptotic characteristics of gravitational clustering which are independent of the initial conditions. Numerical simulations as well as analytic work shows that power transfer leads to a universal power spectrum at late times, somewhat reminiscent of the existence of Kolmogorov spectrum in fluid turbulence.}, archivePrefix = {arXiv}, author = {Padmanbhan, T.}, citeulike-article-id = {3796581}, citeulike-linkout-0 = {http://arxiv.org/abs/0812.2610}, citeulike-linkout-1 = {http://arxiv.org/pdf/0812.2610}, day = {14}, eprint = {0812.2610}, keywords = {gravity, paris, pedagogical, review}, month = {Dec}, posted-at = {2008-12-16 13:23:43}, priority = {5}, title = {Statistical mechanics of gravitating systems: An Overview}, url = {http://arxiv.org/abs/0812.2610}, year = {2008} }

TY - JOUR ID - citeulike:3796581 L3 - citeulike-article-id:3796581 N2 - I review several issues related to statistical description of gravitating systems in both static and expanding backgrounds. After briefly reviewing the results for the static background, I concentrate on gravitational clustering of collisionless particles in an expanding universe. In particular, I describe (a) how the non linear mode-mode coupling transfers power from one scale to another in the Fourier space if the initial power spectrum is sharply peaked at a given scale and (b) the asymptotic characteristics of gravitational clustering which are independent of the initial conditions. Numerical simulations as well as analytic work shows that power transfer leads to a universal power spectrum at late times, somewhat reminiscent of the existence of Kolmogorov spectrum in fluid turbulence. TI - Statistical mechanics of gravitating systems: An Overview KW - gravity KW - paris KW - pedagogical KW - review AU - Padmanbhan, T PY - 2008/Dec/14/ UR - http://arxiv.org/abs/0812.2610 ER -