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- Creators: Barrett, The Honors College
- Creators: Christensen, Philip R.
The discovery of cryovolcanic features on Charon and the presence of ammonia hydrates on the surfaces of other medium-sized Kuiper Belt Objects suggests that cryovolcanism may be important to their evolution. A two-dimensional, center-point finite difference, thermal hydraulic model was developed to explore the behavior of cryovolcanic conduits on midsized KBOs. Conduits on a Charon-surrogate were shown to maintain flow through over 200 km of crust and mantle down to radii of R = 0.20 m. Radii higher than this became turbulent due to high viscous dissipation and low thermal conductivity. This model was adapted to explore the emplacement of Kubrik Mons. Steady state flow was achieved with a conduit of radius R = 0.02 m for a source chamber at 2.3 km depth. Effusion rates computed from this estimated a 122 - 163 Myr upper limit formation timescale.
We implemented the well-known Ising model in one dimension as a computer program and simulated its behavior with four algorithms: (i) the seminal Metropolis algorithm; (ii) the microcanonical algorithm described by Creutz in 1983; (iii) a variation on Creutz’s time-reversible algorithm allowing for bonds between spins to change dynamically; and (iv) a combination of the latter two algorithms in a manner reflecting the different timescales on which these two processes occur (“freezing” the bonds in place for part of the simulation). All variations on Creutz’s algorithm were symmetrical in time, and thus reversible. The first three algorithms all favored low-energy states of the spin lattice and generated the Boltzmann energy distribution after reaching thermal equilibrium, as expected, while the last algorithm broke from the Boltzmann distribution while the bonds were “frozen.” The interpretation of this result as a net increase to the system’s total entropy is consistent with the second law of thermodynamics, which leads to the relationship between maximum entropy and the Boltzmann distribution.
The photodissociation of 1-bromobutane is explored using pump-probe spectroscopy and time-of-flight mass spectrometry. Fragments of bromobutane are constructed computationally and theoretical energies are calculated using Gaussian 16 software. It is determined that the dissociation of bromine from the parent molecule is the most observed fragmentation pathway arising from the excitation of the ground state parent molecule to a dissociative A state using two 400 nm, 3.1 eV pump photons. The dissociation energy of this pathway is 2.91 eV, leaving 3.3 eV of energy that is redistributed into the product fragments as vibrational energy. C4H9 has the highest relative intensity in the mass spectrum with a relative intensity of 1.00. It is followed by C2H5 and C2H4 at relative intensities of 0.73 and 0.29 respectively. Because of the negative correlation between C4H9 and these two fragments at positive time delays, it is concluded that most of these smaller molecules are formed from the further dissociation of the fragment C4H9 rather than any alternative pathways from the parent molecule. Thermodynamic analysis of these pathways has displayed the power of thermodynamic prediction as well as its limitations as it fails to consider kinetic limitations in dissociation reactions.
