Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-02-10
Physics
Condensed Matter
Statistical Mechanics
29 pages, 15 eps figures (one color figure). Submitted for publication to Eur.Phys.J. B
Scientific paper
10.1007/s100510051003
We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers is short-ranged in space. At low temperature, these polymers undergo a magnetic induced first order collapse transition, that we study at the mean field level. Contrasting with an ordinary $\Theta$ point, there is a strong jump in the polymer density, as well as in its magnetization. In the presence of a magnetic field, the collapse temperature increases, while the discontinuities decrease. Beyond a multicritical point, the transition becomes second order and $\Theta$-like. Monte Carlo simulations for the Ising case are in qualitative agreement with these results.
Garel Thomas
Orland Henri
Orlandini Enzo
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