 Given the mentioned asymmetry in \(\Gamma\), almost all microstates realizing non-equilibrium macrostates are such that their entropy value is overwhelmingly likely to increase with time. When the constraints are released on systems initially confined to small sections of \(\Gamma\), typical systems will evolve into larger compartments. Since the new equilibrium distribution occupies almost all of the newly available phase space, nearly all of the microstates originating in the smaller volume will tend toward equilibrium. Except for those incredibly rare microstates conspiring to stay in small compartments, microstates will evolve in such a way as to have \(S_B\) increase. Substantial questions can be raised about the details of this approach. What justifies, for instance, the standard probability measure on \(\Gamma\)? Nonetheless, the Boltzmannian explanation seems to offer a plausible and powerful framework for understanding why the entropy of systems tends to increase with time. (For further explanation and discussion see Bricmont 1995; Frigg 2008, 2009; Goldstein 2001; Hemmo &amp; Shenker 2012; Klein 1973; Lavis 2005; Lebowitz 1993; Uffink 2006.)