RT Journal Article
T1 Mean-value identities as an opportunity for Monte Carlo error reduction
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
AB In the Monte Carlo simulation of both lattice field theories and of models of statistical mechanics, identities verified by exact mean values, such as Schwinger-Dyson equations, Guerra relations, Callen identities, etc., provide well-known and sensitive tests of thermalization bias as well as checks of pseudo-random-number generators. We point out that they can be further exploited as control variates to reduce statistical errors. The strategy is general, very simple, and almost costless in CPU time. The method is demonstrated in the twodimensional Ising model at criticality, where the CPU gain factor lies between 2 and 4.
PB American Physical Society
SN 1539-3755
YR 2009
FD 2009-05-11
LK https://hdl.handle.net/20.500.14352/45070
UL https://hdl.handle.net/20.500.14352/45070
LA eng
NO © 2009 The American Physical Society. We acknowledge partial financial support from Ministerio de Ciencia e Innovación  Spain through research Contract No. FIS2006-08533.
NO Ministerio de Ciencia e Innovación, Spain
DS Docta Complutense
RD 6 abr 2025