One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions
We have performed a parametric study of self-propagating chain reactions along a one-dimensional bead-spring array. The coupling between beads is modeled using harmonic and anharmonic Fermi-Pasta-Ulam (FPU)-β and φ[superscript 4] potentials. The parameters that define the system are the activation e...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/52449 https://orcid.org/0000-0003-2944-808X |
| _version_ | 1826202777185943552 |
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| author | Nair, Nitish Strano, Michael S. |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Nair, Nitish Strano, Michael S. |
| author_sort | Nair, Nitish |
| collection | MIT |
| description | We have performed a parametric study of self-propagating chain reactions along a one-dimensional bead-spring array. The coupling between beads is modeled using harmonic and anharmonic Fermi-Pasta-Ulam (FPU)-β and φ[superscript 4] potentials. The parameters that define the system are the activation energy (E[subscript a]) of the reactive group and the fraction (α) of the reaction enthalpy that is converted to the kinetic energies of the reacted products. The mean conversion for a 100-bead lattice was investigated as a function of these handles. Assemblies of pristine chains with reactive groups having E[subscript a]<25 kcal/mol are shown to be inherently unstable. At loads of 3–4 energetic molecules/bead (E[subscript a]=35 kcal/mol, α=0.7), the FPU and harmonic lattices behaved similarly with reaction velocities ranging between 8 and 8.5 km/sec. The φ[superscript 4] lattice exhibited lower conversions along with the formation of a reaction initiation zone where the velocity was at least half of the bulk value at the aforementioned loads. Fourier analyses of the kinetic energy traces of the φ[superscript 4] lattice revealed that only high-frequency excitations led to viable wave propagation, which explains the prominence of the start-up zone at lower loadings of the energetic molecules. High velocity reaction waves are only observed in perfect crystal arrays. The presence of defects in the chain, i.e., beads with weaker force constants, hampers the progress of the wave. |
| first_indexed | 2024-09-23T12:18:37Z |
| format | Article |
| id | mit-1721.1/52449 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:18:37Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/524492022-09-28T00:56:52Z One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions Nair, Nitish Strano, Michael S. Massachusetts Institute of Technology. Department of Chemical Engineering Strano, Michael S. Nair, Nitish Strano, Michael S. We have performed a parametric study of self-propagating chain reactions along a one-dimensional bead-spring array. The coupling between beads is modeled using harmonic and anharmonic Fermi-Pasta-Ulam (FPU)-β and φ[superscript 4] potentials. The parameters that define the system are the activation energy (E[subscript a]) of the reactive group and the fraction (α) of the reaction enthalpy that is converted to the kinetic energies of the reacted products. The mean conversion for a 100-bead lattice was investigated as a function of these handles. Assemblies of pristine chains with reactive groups having E[subscript a]<25 kcal/mol are shown to be inherently unstable. At loads of 3–4 energetic molecules/bead (E[subscript a]=35 kcal/mol, α=0.7), the FPU and harmonic lattices behaved similarly with reaction velocities ranging between 8 and 8.5 km/sec. The φ[superscript 4] lattice exhibited lower conversions along with the formation of a reaction initiation zone where the velocity was at least half of the bulk value at the aforementioned loads. Fourier analyses of the kinetic energy traces of the φ[superscript 4] lattice revealed that only high-frequency excitations led to viable wave propagation, which explains the prominence of the start-up zone at lower loadings of the energetic molecules. High velocity reaction waves are only observed in perfect crystal arrays. The presence of defects in the chain, i.e., beads with weaker force constants, hampers the progress of the wave. U.S. Air Force Office of Scientific Research 2010-03-09T21:35:38Z 2010-03-09T21:35:38Z 2009-11 2009-08 Article http://purl.org/eprint/type/JournalArticle 1550-235X 1098-0121 http://hdl.handle.net/1721.1/52449 Nair, Nitish , and Michael S. Strano. “One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions.” Physical Review B 80.17 (2009): 174301. © 2009 The American Physical Society https://orcid.org/0000-0003-2944-808X en_US http://dx.doi.org/10.1103/PhysRevB.80.174301 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Nair, Nitish Strano, Michael S. One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title | One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title_full | One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title_fullStr | One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title_full_unstemmed | One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title_short | One-dimensional nanostructure-guided chain reactions: Harmonic and anharmonic interactions |
| title_sort | one dimensional nanostructure guided chain reactions harmonic and anharmonic interactions |
| url | http://hdl.handle.net/1721.1/52449 https://orcid.org/0000-0003-2944-808X |
| work_keys_str_mv | AT nairnitish onedimensionalnanostructureguidedchainreactionsharmonicandanharmonicinteractions AT stranomichaels onedimensionalnanostructureguidedchainreactionsharmonicandanharmonicinteractions |