added discussion of the conserved order parameter tethered monte carlo that can produce results in a field

1 files changed, 36 insertions, 0 deletions

diff --git a/monte-carlo.bib b/monte-carlo.bib
index c2cf60d..6a0447e 100644
--- a/monte-carlo.bib
+++ b/monte-carlo.bib
@@ -564,6 +564,42 @@ random field Ising model and finally of quantum spin glasses.},
 	file = {ScienceDirect Full Text PDF:/home/pants/.zotero/data/storage/MKA8WYZZ/Ossola and Sokal - 2004 - Dynamic critical behavior of the Swendsen–Wang alg.pdf:application/pdf;ScienceDirect Snapshot:/home/pants/.zotero/data/storage/YHGX7CDT/S0550321304003098.html:text/html}
 }
 
+@article{martin-mayor_cluster_2009,
+	title = {Cluster {Monte} {Carlo} algorithm with a conserved order parameter},
+	volume = {80},
+	url = {https://link.aps.org/doi/10.1103/PhysRevE.80.015701},
+	doi = {10.1103/PhysRevE.80.015701},
+	abstract = {We propose a cluster simulation algorithm for statistical ensembles with fixed order parameter. We use the tethered ensemble, which features Helmholtz’s effective potential rather than Gibbs’s free energy and in which canonical averages are recovered with arbitrary accuracy. For the D=2,3 Ising model our method’s critical slowing down is comparable to that of canonical cluster algorithms. Yet, we can do more than merely reproduce canonical values. As an example, we obtain a competitive value for the 3D Ising anomalous dimension from the maxima of the effective potential.},
+	number = {1},
+	urldate = {2018-09-19},
+	journal = {Physical Review E},
+	author = {Martin-Mayor, V. and Yllanes, D.},
+	month = jul,
+	year = {2009},
+	pages = {015701},
+	file = {APS Snapshot:/home/pants/.zotero/data/storage/2USVICMH/PhysRevE.80.html:text/html;Martin-Mayor and Yllanes - 2009 - Cluster Monte Carlo algorithm with a conserved ord.pdf:/home/pants/.zotero/data/storage/7G4SJC85/Martin-Mayor and Yllanes - 2009 - Cluster Monte Carlo algorithm with a conserved ord.pdf:application/pdf}
+}
+
+@article{martin-mayor_tethered_2011,
+	title = {Tethered {Monte} {Carlo}: {Managing} {Rugged} {Free}-{Energy} {Landscapes} with a {Helmholtz}-{Potential} {Formalism}},
+	volume = {144},
+	issn = {1572-9613},
+	shorttitle = {Tethered {Monte} {Carlo}},
+	url = {https://doi.org/10.1007/s10955-011-0261-4},
+	doi = {10.1007/s10955-011-0261-4},
+	abstract = {Tethering methods allow us to perform Monte Carlo simulations in ensembles with conserved quantities. Specifically, one couples a reservoir to the physical magnitude of interest, and studies the statistical ensemble where the total magnitude (system+reservoir) is conserved. The reservoir is actually integrated out, which leaves us with a fluctuation-dissipation formalism that allows us to recover the appropriate Helmholtz effective potential with great accuracy. These methods are demonstrating a remarkable flexibility. In fact, we illustrate two very different applications: hard spheres crystallization and the phase transition of the diluted antiferromagnet in a field (the physical realization of the random field Ising model). The tethered approach holds the promise to transform cartoon drawings of corrugated free-energy landscapes into real computations. Besides, it reduces the algorithmic dynamic slowing-down, probably because the conservation law holds non-locally.},
+	language = {en},
+	number = {3},
+	urldate = {2018-09-19},
+	journal = {Journal of Statistical Physics},
+	author = {Martin-Mayor, V. and Seoane, B. and Yllanes, D.},
+	month = aug,
+	year = {2011},
+	keywords = {Barriers, Effective potential, Monte Carlo methods},
+	pages = {554--596},
+	file = {Martin-Mayor et al. - 2011 - Tethered Monte Carlo Managing Rugged Free-Energy .pdf:/home/pants/.zotero/data/storage/HEICZ4EE/Martin-Mayor et al. - 2011 - Tethered Monte Carlo Managing Rugged Free-Energy .pdf:application/pdf}
+}
+
 @article{ala-nissila_numerical_1994,
 	title = {Numerical studies of the two-dimensional {XY} model with symmetry-breaking fields},
 	volume = {50},