Isochor

Definitions

  • Webster's Revised Unabridged Dictionary
    • n Isochor (Physics) A line upon a thermodynamic diagram so drawn as to represent the pressures corresponding to changes of temperature when the volume of the gas operated on is constant.
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Century Dictionary and Cyclopedia
    • n isochor A curve of equal volume upon a diagram in which the rectangular coördinates represent pressure and temperature.
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Etymology

Webster's Revised Unabridged Dictionary
Iso-, + Gr. xhw`ra space

Usage


In science:

The gas will then cool roughly isochorically and the inflow will be halted or at least seriously inhibited.
The Phenomena of High Energy Astrophysics
Open symbols: Tm = 35.0◦ C below the critical isochore temperature Tφ = 38.06◦ C at this pressure.
Large scale dynamics in turbulent Rayleigh-Benard convection
The plasticity model is used to update only the deviatoric component of stress assuming isochoric behavior.
Validation of the material point method and plasticity with Taylor impact tests
Since the density has decreased by only 26% up to z = 3 kpc, the isochoric cooling function is not too bad an approximation.
The dynamical signature of the ISM in soft X-rays -- I. Diffuse soft X-rays from galaxies
Therefore the resulting self-consistent temperature profile is much closer to an isochorically than to an adiabatically cooling gas.
The dynamical signature of the ISM in soft X-rays -- I. Diffuse soft X-rays from galaxies
Lorentzian approximation where the correlation length may be expressed in terms of the reduced temperature t via ξ = ξ0 tν with ν = 0.63 along the critical isochore.
Critical light scattering in liquids
McKenna has stressed that in experiments on glasses the isothermal compressibility differs from the isochoral compressibility .
Formulation of thermodynamics for the glassy state: configurational energy as a modest source of energy
Similar results are presented for the case of isochore vector fields.
Convergence versus integrability in Poincare-Dulac normal form
Poincar´e-Dulac normal form, torus action, integrability, commuting vector fields, isochore vector fields.
Convergence versus integrability in Poincare-Dulac normal form
It is not surprising that an isochore vector field always admits a formal normalization.
Convergence versus integrability in Poincare-Dulac normal form
Notice that in the isochore case, there is at least one resonance relation : the sum of the eigenvalues is zero.
Convergence versus integrability in Poincare-Dulac normal form
Naturally, Proposition 2.1 also has an isochore version.
Convergence versus integrability in Poincare-Dulac normal form
The proof of Proposition 4.1 is absolutely similar to the proof of Proposition 2.1. ♦ Similarly, Proposition 2.2 remains true in the isochore case as well.
Convergence versus integrability in Poincare-Dulac normal form
In , Vey showed that if n − 1 pairwise commuting isochore vector fields in Cn have linearly independent diagonalizable linear parts, then they are simultaneously normalizable.
Convergence versus integrability in Poincare-Dulac normal form
Any (n − 1)-tuple of pairwise commuting analytic isochore vector fields in a neighborhood of 0 in Kn , which are linearly independent almost everywhere, admits a simultaneous convergent normalization.
Convergence versus integrability in Poincare-Dulac normal form
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