Long term magnetic repulsion with permenant magnets?

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carmatic
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i have a set of neodynium magnets which i am using for a magnetic levitation project... will the constant exposure to an opposing magnetic field weaken the magnets over time? are 'permenant' magnets really permenant?
 
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the coercivity of neodymium is 1.2 , which is supposed to be greater than most materials... this means that , in the same conditions, neodymium would keep its magnetic strength for longer than most materials, but not indefinitely?