Master equations with canonical invariance

Van Kampen, N.G.

doi:10.1016/0034-4877(71)90004-8

Master equations with canonical invariance

N.G. Van Kampen
(
- Utrecht U.
)

1971

11 pages

Published in:

Rept.Math.Phys. 2 (1971) 199-209

DOI:

10.1016/0034-4877(71)90004-8

View in:

AMS MathSciNet

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Abstract: (Elsevier)

It is shown that there exists a large variety of master equations with the property that the canonical equilibrium distribution becomes a solution on replacing the temperature with a suitable function of time. The additional requirement of detailed balance, however, strongly restricts the possibilities and uniquely leads to only three special forms of the master equation, given by equations (17), (22), and (23). These equations are the same as found by Andersen, Oppenheim, Shuler, and Weiss. Other requirements than detailed balance are also briefly discussed.

many-body problem

References(9)

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[1]

[Quoted as AOSW.]

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