Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$ . We show that two phases can coexist macroscopically in equilibrium within a closed region in the $T\text{\ensuremath{-}}h$ plane. Its occurrence is favored near tricriticality. We find a field-induced critical point, where the correlation length diverges, the difference of the coexisting two phases and the surface tension vanish, but the isothermal magnetic susceptibility does not diverge in the mean field theory. We also investigate phase ordering numerically.Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in equilibrium within a closed region in the $T\text{\ensuremath{-}}h$ plane. Its occurrence is favored near tricriticality. We find a field-induced critical point, where the correlation length diverges, the difference of the coexisting two phases and the surface tension vanish, but the isothermal magnetic susceptibility does not diverge in the mean field theory. We also investigate phase ordering numerically.

arXiv:0705.3890Physical Review BNov 15, 20075 citations

Critical behavior of the susceptibility in a two-dimensional ferromagnet

M. Aïn, J. Hammann

AIP conference proceedingsJan 1, 19753 citations

Phase Transition in a Compressible Ising Ferromagnet

Herbert Wagner

Within the droplet model for the Ising spin system it is shown that the magnetic specific heat ${C}_{p}$ and the susceptibility ${\ensuremath{\chi}}_{p}$ for constant vanishing pressure and magnetic field remain finite in a compressible lattice as the critical point ${T}_{c}$ is approached from below. This regularization of ${C}_{p}$ and ${\ensuremath{\chi}}_{p}$ is caused by the long-range indirect spin-spin interaction, which is a consequence of the dependence of the exchange integral on the lattice spacing.Within the droplet model for the Ising spin system it is shown that the magnetic specific heat ${C}_{p}$ and the susceptibility ${\ensuremath{\chi}}_{p}$ for constant vanishing pressure and magnetic field remain finite in a compressible lattice as the critical point ${T}_{c}$ is approached from below. This regularization of ${C}_{p}$ and ${\ensuremath{\chi}}_{p}$ is caused by the long-range indirect spin-spin interaction, which is a consequence of the dependence of the exchange integral on the lattice spacing.

Physical Review LettersJul 6, 197055 citations

Magnetic Equations of State in the Critical Region

S. Milošević, D. Karo, Richard Krasnow +1 more

Springer eBooksJan 1, 19740 citations

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature

T

and the applied magnetic field

h

. We show that two phases can coexist macroscopically in equilibrium within a closed region in the $T\text{\ensuremath{-}}h$ plane. Its occurrence is favored near tricriticality. We find a field-induced critical point, where the correlation length diverges, the difference of the coexisting two phases and the surface tension vanish, but the isothermal magnetic susceptibility does not diverge in the mean field theory. We also investigate phase ordering numerically.

Within the droplet model for the Ising spin system it is shown that the magnetic specific heat

{C}_{p}

and the susceptibility ${\ensuremath{\chi}}_{p}$ for constant vanishing pressure and magnetic field remain finite in a compressible lattice as the critical point

{T}_{c}

is approached from below. This regularization of

{C}_{p}

and ${\ensuremath{\chi}}_{p}$ is caused by the long-range indirect spin-spin interaction, which is a consequence of the dependence of the exchange integral on the lattice spacing.