10 papers
Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. II. Diagonal Approximation in Position Space
Phil Attard
A third order expansion for Wigner-Kirkwood commutation function, a complex function in classical phase space that accounts for the Heisenberg uncertainty relation, is approximated…
Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. Results for the Saturation Liquid Density of He
Phil Attard
A Metropolis Monte Carlo algorithm is given for the case of a complex phase space weight, which applies generally in quantum statistical mechanics. Computer simulations using Lenna…
Thermodynamic Explanation of the Meissner-Ochsenfeld Effect in Superconductors
Phil Attard
The thermodynamic principle of superfluid flow -- that the energy is minimized at constant entropy -- is applied to superconducting currents to derive the Meissner-Ochsenfeld effec…
The Two-Fluid Theory for Superfluid Hydrodynamics and Rotational Motion
Phil Attard
The two-fluid theory for superfluid hydrodynamics is derived from the fountain pressure result that condensed bosons move at constant entropy and are driven by the chemical potenti…
Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition
Phil Attard
The transition from the quantum to the classical world and its relation to Bose-Einstein condensation and superfluidity is explained in ten equations.
The molecular nature of superfluidity: Viscosity of helium from quantum stochastic molecular dynamics simulations over real trajectories
Phil Attard
Using quantum equations of motion for interacting bosons, stochastic molecular dynamics simulations with quantized momenta are performed for Lennard-Jones helium-4. The viscosity o…
Information vs Thermodynamic Entropy
Phil Attard
The Shannon information is shown to be different to the thermodynamic entropy, and indifferent to the Second Law of Thermodynamics.
Comment on pressure driven flow of superfluid He through a nanopipe (Botimer and Taborek 2016)
Phil Attard
Botimer and Taborek (2016) measured the mass flux of superfluid He through a capillary into an evacuated chamber for various temperatures and pressures of the reservoir chamber…
Double Fountain Effect in Superfluid Helium
Phil Attard
A double fountain pressure model is used to analyze the recent measurements of Yu and Luo (arXiv2211.02236v4) of superfluid He flow between two chambers held at different tempe…
Hamilton's Equations of Motion from Schrödinger's Equation
Phil Attard
Starting from Schrödinger's equation, Hamilton's classical equations of motion emerge from the collapse of the unsymmetrized wave function in a decoherent open quantum system entan…