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multiplicity
number of microstates for a given macrostate
multiplicity of macrostate / total multiplicity
probability of macrostate
total multiplicity
total number of microstates accessible to the system
paramagnet
particles of this material tend to align parallel to any externally applied magnetic field
weakly coupled
two systems are ___ when the exchange of energy between them is more gradual than the exchange of energy among atoms in each solid.
product
the total multiplicity of a combined system is the — of the multiplicities of the systems within the combined system
fundamental assumption of statistical mechanics
in an isolated system in thermal equilibrium, all accessible microstates are equally probable
irreversible behavior
when energy can flow spontaneously from one system to another, but cannot flow back (e.g. heat is released from the system
stops; macrostate; multiplicity
second law of thermodynamics: the spontaneous flow of energy —- when a system is at or very near the —- with the greatest __
thermal equilibrium; macrostate
once the system has had time to come to ——, such that all microstates are equally probable, it is in its most likely —-.
thermodynamic limit
the limit where a system becomes infinitely large, such that fluctuations away from the most likely macrostate never occur.
increase; increase
second law of thermodynamics: multiplicity tends to __, entropy tends to ——
volume; energy; number of particles
the entropy of an ideal gas depends on its —, —, and —
free expansion
when a gas expands spontaneously into a vacuum, doing no work and releasing/absorbing no heat, creating entropy due to the number of particles in the vacuum increasing
entropy of mixing
total increase in entropy due to expansion of volume as two different gases mix with each other
doesn’t
if you start with the same gas on both sides of a partition and allow them to expand, the entropy of the gas does not increase at all
irreversible
processes that create new entropy are —-
reversible
a process that leaves the total entropy of the universe unchanged is —-
wavefunction; energies; quasistatic
compression of a gas squeezes each ——, increasing the —-of all levels and therefore all particles in the gas; unless compression is sufficiently —-
reversible process
a process that can be reversed by changing the conditions of the system only infinitesimally