B]T, which shows via the Boltzmann factor that the fraction of molecules escaping the liquid (i.
v]), the vapor pressure must increase with increasing temperature, again in accord with the Boltzmann factor.
A molecular perspective interprets the exponential expression as a Boltzmann factor, a concept already familiar to atmospheric scientists in the guise of the hydrostatic balance equation for an isothermal atmosphere:
e]xc, is defined for a population of particles via the Boltzmann factor
In the case of a gas of particles, [beta] is the Boltzmann factor
associated to the temperature, H is the Hamiltonian (a function describing the energy) of the i-th microstate, [N.
According to Arrhenius equation R decrease is determined by the Boltzmann factor
The rate of SCG is thermally activated as governed by the Boltzmann factor
However, if the energy is higher, the Boltzmann factor
In the conventional analysis the probability that an oscillator is excited to its k-th state is given by a Boltzmann factor.
0](v) = 1/2 hv becomes proportional to a Boltzmann factor
The rate of this process is proportional to the 12 K phonon density which is strongly suppressed by the Boltzmann factor
U] and accumulate their Boltzmann factors
to calculate the effective potentials for the given configuration according to Eqs.