Landau-Zener Transitions in Coupled Thermoacoustic Oscillators Stacks

ORAL

Abstract

Landau-Zener transitions are characteristic in two level quantum systems and occur in many areas of physics and chemistry from ammonia masars to rapid adiabatic passage. Coupled pendulums, mass-spring systems, and RLC circuits are a few macroscopic analogs of coupled oscillators. A closed bottle-shaped acoustic resonator can result in coupled oscillations between the resonance of the neck and the cavity. Landau-Zener transitions occur between overtone modes as the cavity is lengthened such that its resonance passes through the resonance of the neck. The thermoacoustic stack is located in the neck and the length of the cavity can be varied with a piston. Previously, transitions were observed as the cavity was lengthened by hand. In this study the piston was controlled with a high level of accuracy with a translation stage. Four different neck-cavity combinations were tested using two neck lengths (3.8 cm and 5.8 cm, both with inner-diameters of 1.9 cm) and two cavity inner-diameters (4.8 cm and 9.5 cm). Mode transitions have been observed to occur repeatedly for a given input power at the same position within a standard deviation of 1.3 mm. The transition positions was also tested as a function of input power. For some input powers/positions, the temperature gradient fell below the critical temperature gradient, resulting in a loss of sound at those positions.

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Authors

  • Aaron Horikami

    Utah Valley University

  • William Stockwell

    Logan High School, University of Tsukuba, Department of Physics, University of Texas at El Paso, El Paso, TX, Division of Engineering, Mayo Clinic, Rochester, MN, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Utah Valley University, University of New Mexico, Brigham Young University, Moxtek, INC, New Mexico State University, Oak Ridge National Laboratory, Oak Ridge TN 37830, USA, Los Alamos National Laboratory, Argonne National Laboratory, Embry-Riddle Aeronautical University, University of Newcastle, University of Sydney, Brigham Young University Provo, Rice University, Perimeter Institute and University of Guelph, University of Reims Champagne-Ardenne, France, Texas A&M University, University of Illinois at Urbana-Champaign, University of Valencia, Spain, None, University of Texas at El Paso, Universidad Simon Bolivar, Universidad Autonoma de Ciudad Juarez, Brigham Young University - Provo, Morgan High School - Morgan, UT, Utah State University, University of Tsukaba, Chemistry Research Center, US Air Force Academy, USAFA, JILA, University of Colorado Boulder, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, El Paso, TX, Department of Orthopedics, Mayo Clinic, Rochester, MN, Colorado State University, National Research Tomsk Polytechnic University \& New Mexico State University,, National Institute of Standards and Technology Center for Neutron Research, Oak Ridge National Laboratory, Huazhong University of Science and Technology, U of Utah, NMSU, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA, INM - Leibniz Institute for New Materials, Saarbrucken, Germany, Department of Physics, The University of Texas at El Paso, El Paso, Texas, 7996, UTEP, Arizona State University, The University of Texas at El Paso, none, National Renewable Energy Laboratory, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, Division of Engineering, Mayo Clinic, Department of Neurologic Surgery, Mayo Clinic, Department of Physics & Astronomy, Texas A&M University, Commerce,TX-75428, USA., INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy, Texas A&M University Commerce, Commerce, Texas-75429, Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, Texas 75429, USA, Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA, Department of Physics, University of Texas at El Paso, University of Delaware, IIT INDORE, UT AUSTIN, Idaho Accelerator Center, Brigham Young University, Physics and Astronomy, Univesidad de Guanajuato, Fermilab, École Polytechnique Fédérale de Lausanne, RadiaSoft, LLC, Weber State University, University of Texas at Dallas, National High Magnetic Field Laboratory, University of Texas Southwestern Medical Center, University of Alabama in Huntsville, Marshall Space Flight Center, NASA, Howard University

  • William Stockwell

    Logan High School, University of Tsukuba, Department of Physics, University of Texas at El Paso, El Paso, TX, Division of Engineering, Mayo Clinic, Rochester, MN, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Utah Valley University, University of New Mexico, Brigham Young University, Moxtek, INC, New Mexico State University, Oak Ridge National Laboratory, Oak Ridge TN 37830, USA, Los Alamos National Laboratory, Argonne National Laboratory, Embry-Riddle Aeronautical University, University of Newcastle, University of Sydney, Brigham Young University Provo, Rice University, Perimeter Institute and University of Guelph, University of Reims Champagne-Ardenne, France, Texas A&M University, University of Illinois at Urbana-Champaign, University of Valencia, Spain, None, University of Texas at El Paso, Universidad Simon Bolivar, Universidad Autonoma de Ciudad Juarez, Brigham Young University - Provo, Morgan High School - Morgan, UT, Utah State University, University of Tsukaba, Chemistry Research Center, US Air Force Academy, USAFA, JILA, University of Colorado Boulder, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, El Paso, TX, Department of Orthopedics, Mayo Clinic, Rochester, MN, Colorado State University, National Research Tomsk Polytechnic University \& New Mexico State University,, National Institute of Standards and Technology Center for Neutron Research, Oak Ridge National Laboratory, Huazhong University of Science and Technology, U of Utah, NMSU, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA, INM - Leibniz Institute for New Materials, Saarbrucken, Germany, Department of Physics, The University of Texas at El Paso, El Paso, Texas, 7996, UTEP, Arizona State University, The University of Texas at El Paso, none, National Renewable Energy Laboratory, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, Division of Engineering, Mayo Clinic, Department of Neurologic Surgery, Mayo Clinic, Department of Physics & Astronomy, Texas A&M University, Commerce,TX-75428, USA., INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy, Texas A&M University Commerce, Commerce, Texas-75429, Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, Texas 75429, USA, Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA, Department of Physics, University of Texas at El Paso, University of Delaware, IIT INDORE, UT AUSTIN, Idaho Accelerator Center, Brigham Young University, Physics and Astronomy, Univesidad de Guanajuato, Fermilab, École Polytechnique Fédérale de Lausanne, RadiaSoft, LLC, Weber State University, University of Texas at Dallas, National High Magnetic Field Laboratory, University of Texas Southwestern Medical Center, University of Alabama in Huntsville, Marshall Space Flight Center, NASA, Howard University

  • William Stockwell

    Logan High School, University of Tsukuba, Department of Physics, University of Texas at El Paso, El Paso, TX, Division of Engineering, Mayo Clinic, Rochester, MN, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Utah Valley University, University of New Mexico, Brigham Young University, Moxtek, INC, New Mexico State University, Oak Ridge National Laboratory, Oak Ridge TN 37830, USA, Los Alamos National Laboratory, Argonne National Laboratory, Embry-Riddle Aeronautical University, University of Newcastle, University of Sydney, Brigham Young University Provo, Rice University, Perimeter Institute and University of Guelph, University of Reims Champagne-Ardenne, France, Texas A&M University, University of Illinois at Urbana-Champaign, University of Valencia, Spain, None, University of Texas at El Paso, Universidad Simon Bolivar, Universidad Autonoma de Ciudad Juarez, Brigham Young University - Provo, Morgan High School - Morgan, UT, Utah State University, University of Tsukaba, Chemistry Research Center, US Air Force Academy, USAFA, JILA, University of Colorado Boulder, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, El Paso, TX, Department of Orthopedics, Mayo Clinic, Rochester, MN, Colorado State University, National Research Tomsk Polytechnic University \& New Mexico State University,, National Institute of Standards and Technology Center for Neutron Research, Oak Ridge National Laboratory, Huazhong University of Science and Technology, U of Utah, NMSU, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Rochester, MN, Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA, INM - Leibniz Institute for New Materials, Saarbrucken, Germany, Department of Physics, The University of Texas at El Paso, El Paso, Texas, 7996, UTEP, Arizona State University, The University of Texas at El Paso, none, National Renewable Energy Laboratory, Division of Engineering, Department of Neurologic Surgery, Mayo Clinic, Department of Physics, Border Biomedical Research Center, University of Texas at El Paso, Division of Engineering, Mayo Clinic, Department of Neurologic Surgery, Mayo Clinic, Department of Physics & Astronomy, Texas A&M University, Commerce,TX-75428, USA., INFN, Sezione di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy, Texas A&M University Commerce, Commerce, Texas-75429, Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, Texas 75429, USA, Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA, Department of Physics, University of Texas at El Paso, University of Delaware, IIT INDORE, UT AUSTIN, Idaho Accelerator Center, Brigham Young University, Physics and Astronomy, Univesidad de Guanajuato, Fermilab, École Polytechnique Fédérale de Lausanne, RadiaSoft, LLC, Weber State University, University of Texas at Dallas, National High Magnetic Field Laboratory, University of Texas Southwestern Medical Center, University of Alabama in Huntsville, Marshall Space Flight Center, NASA, Howard University