%0 Book Section %1 statphys23_0843 %A Tröster, A. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K coarse compressible ginzburg graining landau models potentials simulations spin statphys23 topic-2 wang %T Wang-Landau Simulations in Fourier Space: A New Powerful Way to Study Phase Transitions %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=843 %X We construct a new class of Wang-Landau algorithms based on the use of Fourier amplitudes as the basic Monte Carlo variables. Our approach, which is developed for the example of a $\phi^4$ lattice model, allows to sucessfully tackle problems that were previously intractable, as their underlying Hamiltonians only allow for a simple formulation in terms of Fourier modes. The method is applied to two problems of this class. The first application presented is the computation of coarse grained (Landau-Ginzburg) free energies from the microscopic $\phi^4$ Hamiltonian. As the second example we compute the free energy of a compressible $\phi^4$ model with cubic elastic anisotropy, in which a fluctuation-induced first order transition is observed.

@incollection{statphys23_0843, abstract = {We construct a new class of Wang-Landau algorithms based on the use of Fourier amplitudes as the basic Monte Carlo variables. Our approach, which is developed for the example of a $\phi^4$ lattice model, allows to sucessfully tackle problems that were previously intractable, as their underlying Hamiltonians only allow for a simple formulation in terms of Fourier modes. The method is applied to two problems of this class. The first application presented is the computation of coarse grained (Landau-Ginzburg) free energies from the microscopic $\phi^4$ Hamiltonian. As the second example we compute the free energy of a compressible $\phi^4$ model with cubic elastic anisotropy, in which a fluctuation-induced first order transition is observed.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Tr\"oster, A.}, biburl = {https://www.bibsonomy.org/bibtex/2b54e0d0d9414d8a6cd7f14f2f2cb36ce/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {e343b8ac9370bda53a668227d5eb6d42}, intrahash = {b54e0d0d9414d8a6cd7f14f2f2cb36ce}, keywords = {coarse compressible ginzburg graining landau models potentials simulations spin statphys23 topic-2 wang}, month = {9-13 July}, timestamp = {2007-06-20T10:16:30.000+0200}, title = {Wang-Landau Simulations in Fourier Space: A New Powerful Way to Study Phase Transitions}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=843}, year = 2007 }