- 82-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 82-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 82-02 Research exposition (monographs, survey articles)
- 82-03 Historical (must be assigned at least one classification number from 01-XX)
- 82-04 Explicit machine computation and programs (not the theory of computation or programming)
- 82-05 Experimental papers
- 82-06 Proceedings, conferences, collections, etc.
- 82-08 Computational methods
- 82Bxx Equilibrium statistical mechanics
- 82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium)
- 82Dxx Applications to specific types of physical systems