# Improved rosenbluth monte carlo scheme for cluster counting and lattice animal enumeration

@article{Care2000ImprovedRM, title={Improved rosenbluth monte carlo scheme for cluster counting and lattice animal enumeration}, author={Care and Ettelaie}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={2000}, volume={62 1 Pt B}, pages={ 1397-404 } }

We describe an algorithm for the Rosenbluth Monte Carlo enumeration of clusters and lattice animals. The method may also be used to calculate associated properties such as moments or perimeter multiplicities of the clusters. The scheme is an extension of the Rosenbluth method for growing polymer chains and is a simplification of a scheme reported earlier by one of the authors. The algorithm may be used to obtain a Monte Carlo estimate of the number of distinct lattice animals on any lattice…

## 5 Citations

### Simulations of lattice animals and trees

- Computer Science
- 2004

The collapse of animals and trees is discussed, arguing that the present version of the algorithm is also efficient for some of the models studied in this context, but showing that it is not very efficient for the 'classical' model for collapsing animals.

### Generalized atmospheric Rosenbluth methods (GARM)

- Computer Science
- 2008

The classical Rosenbluth method for sampling self-avoiding walks and polygons can be extended to a general algorithm for sampling many families of objects, including self- avoidanceing polygons, using an elementary move which is a generalization of kinetic growth.

### Scaling behaviour of lattice animals at the upper critical dimension

- Computer Science
- 2011

This work proposes, and test, a new Parisi-Sourlas-type scaling relation appropriate for the logarithmic-correction exponents of the lattice-animal problem at the upper critical dimension d = 8 on hypercubic lattices.

### Graph animals, subgraph sampling, and motif search in large networks.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

A sampling algorithm for lattice animals is generalized to a Monte Carlo algorithm for "graph animals," i.e., connected subgraphs in arbitrary networks, and a number of methods that do not rely on measurements of Z scores or comparisons with null models are explored.

### Matrix Elasticity of Void-Forming Hydrogels Controls Transplanted Stem Cell-Mediated Bone Formation

- Biology, EngineeringNature materials
- 2015

By developing injectable, void-forming hydrogels that decouple pore formation from elasticity, this work shows that mesenchymal stem cell osteogenesis in vitro, and cell deployment in vitro and in vivo, can be controlled by modifying the hydrogel's elastic modulus or its chemistry.

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