Role in Boltzmann Factors
More generally, systems in equilibrium at temperature T have probability p of occupying a state i with energy E weighted by the corresponding Boltzmann factor:
Where Z is the partition function. Again, it is the energy-like quantity kT which takes central importance.
Consequences of this include (in addition to the results for ideal gases above) the Arrhenius equation in chemical kinetics.
Read more about this topic: Boltzmann Constant
Famous quotes containing the words role in, role and/or factors:
“If women’s role in life is limited solely to housewife/mother, it clearly ends when she can no longer bear more children and the children she has borne leave home.”
—Betty Friedan (20th century)
“The trouble is that the expression ‘material thing’ is functioning already, from the very beginning, simply as a foil for ‘sense-datum’; it is not here given, and is never given, any other role to play, and apart from this consideration it would surely never have occurred to anybody to try to represent as some single kind of things the things which the ordinary man says that he ‘perceives.’”
—J.L. (John Langshaw)
“Language makes it possible for a child to incorporate his parents’ verbal prohibitions, to make them part of himself....We don’t speak of a conscience yet in the child who is just acquiring language, but we can see very clearly how language plays an indispensable role in the formation of conscience. In fact, the moral achievement of man, the whole complex of factors that go into the organization of conscience is very largely based upon language.”
—Selma H. Fraiberg (20th century)