The specific heat of superfluids near the transition temperature

Abstract

The specific heat of the $x-y$ model is studied on cubic lattices of sizes $L\times L\times L$ and on lattices $L\times L\times H$ with $L\gg H$ (i.e. on lattices representing a film geometry) using the Cluster Monte Carlo method. Periodic boundary conditions were applied in all directions. In the cubic case we obtained the ratio of the critical exponents $\alpha /\nu$ from the size dependence of the energy density at the critical temperature $T_{\lambda }$. Using finite--size scaling theory, we find that while for both geometries our results scale to universal functions, these functions differ for the different geometries. We compare our findings to experimental results and results of renormalization group calculations.

self-unpacking uuencoded PostScript file (for instructions see the beginning of the file), 18 pages.

References in corpus (3)

• Critical Behaviour of the 3D XY-Model: A Monte Carlo Study
• Crossover from Two- to Three-Dimensional Behavior in Superfluids
• Critical exponents of the three-dimensional classical plane rotator model on the sc lattice from a high temperature series analysis

Cited by in corpus (26)

• Critical behavior of the three-dimensional XY universality class
• High precision Monte Carlo study of the 3D XY-universality class
• Bose-Einstein Condensation Temperature of a Homogeneous Weakly Interacting Bose Gas : PIMC study
• Four-point renormalized coupling constant in O(N) models
• Phase-coherence and the boson-analogy of vortex liquids
• Scaling of the specific heat in superfluid films
• Analytical theory of mesoscopic Bose-Einstein condensation in ideal gas
• Critical exponents predicted by grouping of Feynman diagrams in phi^4 model
• Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation
• New universality class for the three-dimensional XY model with correlated impurities: Application to ${}^4$He in aerogels
• Finite size effect in Bi2Sr2CaCu2O(8+d) and YBa2Cu3O6.7 probed by the in-plane and out of plane penetration depths
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
• Scaling of thermal conductivity of helium confined in pores
• Evidence for charged critical behavior in the pyrochlore superconductor RbOs2O6
• Boundary effects in superfluid films
• The specific heat of thin films near the lambda-transition: A Monte Carlo study of an improved three-dimensional lattice model
• Heat capacity scaling function for confined superfluids
• Critical behavior of the planar magnet model in three dimensions
• Finite-size and pressure effects in YBa_2Cu_4O_8 probed by magnetic field penetration depth measurements
• Self-similar analytical solution of the critical fluctuations problem for the Bose-Einstein condensation in an ideal gas
• Dynamical temperature study for classical planar spin systems
• Continuous phase transition of a fully frustrated XY model in three dimensions
• Critical energy density of O$(n)$ models in $d=3$
• Three-dimensional Ising model confined in low-porosity aerogels: a Monte Carlo study
• Critical Scaling Properties at the Superfluid Transition of ${}^4$He in Aerogel