After War era , From 1945 until now

      After 1945 until now .
      In 1948 It begined  era of soviet world chess champion until  end of the Soviet Union except American Bubby Fischer. By Russian Mikhail Botvinnik , winner of the 1948 of FIDE.
      This era new system was seted up by FIDE that The best player of Zonal tournament will played with other best player of another Zonal tournament,called Interzonal tournaments. The winner of interzonal tournament would gone to Candidates stage, the beginning stage of tournament. And the winner of Candidates stage will fight to the champion of FIDE.All of this cycle is three years.
     In 1948 - 1961 , Champion was Bontvinnik , except Vasily Smyslov in 1957 and Mikhail Tal in 1960.
     In 1963-1969 , Armenian Tigran Petrosian
     In 1969-1972 , Boris Spassky .
     In 1973-1975 ,  Bobby Fischer win the Match of the century.
     In 1975-1985 , Anatoly Karpov.
     In 1985-2000 , Garry Kasparov.In 1993 Kasparov broked with FiDE and built Professional Chess Association (PCA) so in world there were two champ. world championship and world champion.and reunified in 2006 by champ from PCA beat champ FIDE
     In 2000-2006 , Valdimir Kramnik
     In 2007-2009 , Viswanathan Anand
     In 2010, young Magnus Carlsen