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Abbreviations
- Ael or A:
-
Elastic potential caused by an external stress
- A diel :
-
Electric potential caused by an external electric field
- A, B, C1, C2, C3, C4:
-
Constants
- a:
-
Characteristic quasiviscosity in the WLF equation
- c:
-
Concentration
- D:
-
Diffusion constant
- E:
-
Electric field strength (E or orientation field strength)
- E or Em:
-
Young modules (E m extended to molecular dimension in our quasicubic model)
- F:
-
Force
- G or G′, G″:
-
Shear modules (G′ real, G″ imaginary component) (G 0 for purely elastic deformation)
- f r :
-
Reducing factor
- h:
-
Planck constant (h=6,62 10−34 Joule sec)
- I:
-
Diffusion current
- K:
-
Modules of compressibility
- k:
-
Boltzmann constant (k=1,380 10−23 Joule/oK)
- L:
-
Length of a capillary
- L:
-
Laplace transformation
- M:
-
Torque
- m, n:
-
Constants characterizing the amorphous state
- m:
-
Mass of a flowing unit
- n:
-
Number of coupled processes, characterizing a network N≈1/n
- p:
-
Pressure
- P:
-
Electric polarisation (P def deformation, P or orientation polarisation)
- px :
-
Momentum coordinate
- r:
-
Spatial coordinate
- r 0 :
-
Radius of a flowing unit, distance between the maximum and the saddle point in the Lennard-Jones potential
- R:
-
Radius of a capillary or cylinder (R i inner, R a outer radius)
- S:
-
Entropy
- T:
-
Temperature (T g glass transition temperature)
- z:
-
Number of molecular dislocations in the direction of an external stress per unit area
- z 0 :
-
Number of flowing units or segments (per unit area)
- U:
-
Potential energy (U i, Uk potential energy at a minimum of an energy hyperplane, U ov energy needed to overcome an energy barrier in special cases, ΔU activation energy)
- v:
-
Velocity
- V:
-
Volume
- W:
-
Probability (W p probability for molecular dislocation processes)
- y, z:
-
Spatial coordinates
- α:
-
Partion of flowing units participating in molecular fluctuation processes (molecules have more than one possible conformation)
- α, β, γ, δ, ϕ, ψ, θ:
-
Special angles
- β th :
-
Linear thermal expansion coefficient
- γ:
-
Shear rate
- ε:
-
Elongation Λ=1+ε=1+Δ1/1
- ε:
-
Dielectric constant (ε0 = 8,854 10−12 As/Vm)
- Δ, δ:
-
Differences
- χ:
-
Quantity describing an amorphous state
- η:
-
Viscosity
- μ:
-
Dipole moment
- ν th :
-
Average frequency for thermal vibrations, ν th=kT/h≈1013
- α:
-
Molecular polarisability
- τ:
-
Relaxation time; τstress for stress, τstrain for strain
- τ fl :
-
Fluctuation time
- ω:
-
Angular velocity, frequency
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Holzmüller, W. (1978). Molecular mobility, deformation and relaxation processes in polymers. In: Polymer Chemistry. Advances in Polymer Science, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022820
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DOI: https://doi.org/10.1007/BFb0022820
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