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10.1038/srep23644 http://scihub22266oqcxt.onion/10.1038/srep23644 C4804329!4804329!27004989     free     free     free Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Sci+Rep 2016 ; 6 (ä): ä Nephropedia Template TP {{tp|p=27004989|t=2016. The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics |pdf=|usr=}}{{27004989}} gab.com Text The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics JO: Sci Rep http://www.kidney.de/pget.php?&tw=1&pmid=27004989 #FOAvip As well known, Boltzmann-Gibbs statistics is the correct way of thermostatistically approaching ergodic systems. On the other hand, nontrivial ergodicity breakdown and strong correlations typically drag the system into out-of-equilibrium states where Boltzmann-Gibbs statistics fails. For a wide class of such systems, it has been shown in recent years that the correct approach is to use Tsallis statistics instead. Here we show how the dynamics of the paradigmatic conservative (area-preserving) stan-dard map exhibits, in an exceptionally clear manner, the crossing from one statistics to the other. Our results unambiguously illustrate the domains of validity of both Boltzmann-Gibbs and Tsallis statistical distributions. Since various important physical systems from particle confinement in magnetic traps to autoionization of molecular Rydberg states, through particle dynamics in accelerators and comet dynamics, can be reduced to the standard map, our results are expected to enlighten and enable an improved interpretation of diverse experimental and observational results. Twit Text FOAVip The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics ????Sci Rep http://www.kidney.de/pget.php?&tw=1&pmid=27004989 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=27004989 #FOAvip English Wikipedia <ref>{{Cite pmid|27004989}}</ref> The standard map: From Boltzmann-Gibbs statistics to Tsallis statistics #MMPMID27004989 Tirnakli U; Borges EP Sci Rep 2016[]; 6 (ä): ä PMID27004989show ga As well known, Boltzmann-Gibbs statistics is the correct way of thermostatistically approaching ergodic systems. On the other hand, nontrivial ergodicity breakdown and strong correlations typically drag the system into out-of-equilibrium states where Boltzmann-Gibbs statistics fails. For a wide class of such systems, it has been shown in recent years that the correct approach is to use Tsallis statistics instead. Here we show how the dynamics of the paradigmatic conservative (area-preserving) stan-dard map exhibits, in an exceptionally clear manner, the crossing from one statistics to the other. Our results unambiguously illustrate the domains of validity of both Boltzmann-Gibbs and Tsallis statistical distributions. Since various important physical systems from particle confinement in magnetic traps to autoionization of molecular Rydberg states, through particle dynamics in accelerators and comet dynamics, can be reduced to the standard map, our results are expected to enlighten and enable an improved interpretation of diverse experimental and observational results. äThe standard map: From Boltzmann-Gibbs statistics to Tsallis statistic(epmc).pdf DeepDyve Pubget Overpricing