Application of the projector Monte Carlo method to the transfer matrix of the classical XY model |
| |
| Affiliation: | 1. Internal Medicine Research Unit, Pfizer Inc, Cambridge, MA, USA;2. Department of Computer Science, Florida State University, Tallahassee, FL, USA;3. Department of Mathematical Sciences, University of Texas-Dallas, Dallas, TX, USA;4. Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford, UK;5. Department of Statistics and Operations Research, University of North Carolina-Chapel Hill, Chapel Hill, NC, USA;6. Department of Mathematics, University of Arizona, Tucson, AZ, USA;7. Department of Statistics, University of Wisconsin-Madison, Madison, WI, USA;8. Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC, USA;1. Servicio de Oncología Radioterápica, Hospital Universitario Marqués de Valdecilla, E-39008 Santander, Spain;2. Servicio de Radiofísica y Protección Radiológica, Hospital Universitario Dr. Negrín, E-35010 Gran Canaria, Spain;3. Unidad de Radiofísica, Hospital Universitario San Cecilio, E-18016 Granada, Spain;4. Instituto de Investigación Biosanitaria (ibs.GRANADA), Complejo Hospitalario Universitario de Granada/Universidad de Granada, E-18016 Granada, Spain;5. Departamento de Radiología y Medicina Física, Universidad de Granada, E-18071 Granada, Spain;6. Instituto de Biopatología y Medicina Regenerativa (IBIMER), Universidad de Granada, E-18071 Granada, Spain;7. Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada, Spain |
| |
| Abstract: | An application of the projector Monte Carlo method to the transfer-matrix eigenvalue problem is described, for the classical planar spin model. The free energy of the system is computed by the growth estimate. Importance sampling is implemented, using a mean-field approximation of the eigenfunction as a trial wave function. The mixed expectation values of spin correlations are measured by their averages in the Monte Carlo ensemble. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
