Analytical and Numerical (Monte Carlo) Studies of Point and Space Group Symmetry-Breaking in the Liquid–Solid Phase Transition

Gernoth, K. A.

doi:10.1006/aphy.2001.6160

Cited by 10 publications

(3 citation statements)

References 68 publications

(166 reference statements)

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“…Metallic hydrogen is also a model system for understanding the metal-insulator transition [4][5][6][7][8][9][10][11][12][13]. Accurate calculations of the properties of liquid hydrogen using theoretical approaches such as Path Integral Monte Carlo (PIMC) and Correlated Density Matrix (CDM) techniques are available [14][15][16][17][18][19][20][21] based on well-established input on hydrogen intermolecular potentials such as the Silvera-Goldman potential [22] and the NWB intermolecular potential [23].…”

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confidence: 99%

Measurement of the scattering cross section of slow neutrons on liquid parahydrogen from neutron transmission

Grammer¹,

Alarcón²,

Barrón‐Palos³

et al. 2015

Phys. Rev. B

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Liquid hydrogen is a dense Bose fluid whose equilibrium properties are both calculable from first principles using various theoretical approaches and of interest for the understanding of a wide range of questions in many body physics. Unfortunately, the pair correlation function g(r) inferred from neutron scattering measurements of the differential cross section dσ dΩ from different measurements reported in the literature are inconsistent. We have measured the energy dependence of the total cross section and the scattering cross section for slow neutrons with energies between 0.43 meV and 16.1 meV on liquid hydrogen at 15.6 K (which is dominated by the parahydrogen component) using neutron transmission measurements on the hydrogen target of the NPDGamma collaboration at the Spallation Neutron Source at Oak Ridge National Laboratory. The relationship between the neutron transmission measurement we perform and the total cross section is unambiguous, and the energy range accesses length scales where the pair correlation function is rapidly varying. At 1 meV our measurement is a factor of 3 below the data from previous work. We present evidence that these previous measurements of the hydrogen cross section, which assumed that the equilibrium value for the ratio of orthohydrogen and parahydrogen has been reached in the target liquid, were in fact contaminated with an extra non-equilibrium component of orthohydrogen. Liquid parahydrogen is also a widely-used neutron moderator medium, and an accurate knowledge of its slow neutron cross section is essential for the design and optimization of intense slow neutron sources. We describe our measurements and compare them with previous work.

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confidence: 99%

Measurement of the scattering cross section of slow neutrons on liquid parahydrogen from neutron transmission

Grammer¹,

Alarcón²,

Barrón‐Palos³

et al. 2015

Phys. Rev. B

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“…The liquid undergoes a smooth, second-order phase transition into the hexatic phase. Gernoth [7] has made a detailed group theoretical analysis of the possible scenarios of the phase transition from the high symmetry liquid phase through the reduced symmetry point group of the hexatic phase to the low symmetry space group of the solid phase.…”

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confidence: 99%

Structure of metastable 2D liquid helium

Apaja¹,

Saarela²

2008

Europhys. Lett.

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We present diffusion Monte Carlo (DMC) results on a novel metastable, superfluid phase in two-dimensional 4 He at densities higher than 0.065Å −2 . The state is above the crystal ground state in energy and it has anisotropic, hexatic orbital order. This implies that the liquid-solid phase transition has two stages: A second order phase transition from the isotropic superfluid to the hexatic superfluid, followed by a first order transition that localizes atoms into the triangular crystal order. This metastable hexatic phase offers a natural explanation for the superflow in the supersolid 4 He and the possibility of a Kosterlitz-Thouless type phase transition with increasing temperature.

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“…The present theoretical analysis is based on the parameter-free microscopic CDM theory 10,11,12 and PIMC calculations 13 with the central Silvera-Goldman potential as input 14 .…”

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confidence: 99%

The Physics of Liquid Para-Hydrogen

Lindenau

Ristig

Gernoth

et al. 2006

Int. J. Mod. Phys. B

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Macroscopic systems of hydrogen molecules exhibit a rich thermodynamic phase behavior. Due to the simplicity of the molecular constituents a detailed exploration of the thermal properties of these boson systems at low temperatures is of fundamental interest. Here, we report theoretical and experimental results on various spatial correlation functions and corresponding distributions in momentum space of liquid para-hydrogen close to the triple point. They characterize the structure of the correlated liquid and provide information on quantum effects present in this Bose fluid. Numerical calculations employ Correlated Density-Matrix (CDM) theory and Path-Integral Monte-Carlo(PIMC)simulations. A comparison of these theoretical results demonstrates the accuracy of CDM theory. This algorithm therefore permits a fast and efficient quantitative analysis of the normal phase of liquid para-hydrogen. We compare and discuss the theoretical results with available experimental data.

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Analytical and Numerical (Monte Carlo) Studies of Point and Space Group Symmetry-Breaking in the Liquid–Solid Phase Transition

Cited by 10 publications

References 68 publications

Measurement of the scattering cross section of slow neutrons on liquid parahydrogen from neutron transmission

Measurement of the scattering cross section of slow neutrons on liquid parahydrogen from neutron transmission

Structure of metastable 2D liquid helium

The Physics of Liquid Para-Hydrogen

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