P Serra and J F Stilck 1990 J. Phys. A: Math. Gen. 23 5351 doi:10.1088/0305-4470/23/22/022
Tricritical points in polymer systems
P Serra and J F Stilck
Show affiliationsThe authors consider a lattice model for equilibrium polymerisation in a solvent proposed by Wheeler and Pfeuty. They include attractive interactions between first-neighbour monomers which belong to polymer chains but are not consecutive along a chain. In the limit of no dilution this model describes the collapse transition of a polymer in a poor solvent ( Theta -point). When no attractive interaction is present the model is appropriate for sulphur solutions, where a dilution tricritical point is observed. The thermodynamic properties of the model were studied by two kinds of calculations. The solution on the Bethe lattice shows a locus of tricritical points, including the Theta and dilution tricritical points. On a fractal lattice (3D Sierpinski gasket), the exact real space RG solution reveals that the Theta -point and the dilution tricritical point belong to the same universality class.
- PACS
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61.41.+e Polymers, elastomers, and plastics
65.20.-w Thermal properties of liquids
82.35.-x Polymers: properties; reactions; polymerization
64.60.A- Specific approaches applied to studies of phase transitions
- MSC
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82B28 Renormalization group methods (See also 81T17)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
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Soft matter, liquids and polymers
- Dates
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Issue 22 (21 November 1990)
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Tricritical points in polymer systems
P Serra and J F Stilck 1990 J. Phys. A: Math. Gen. 23 5351
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