SAWdoubler is a software package for counting the number of self-avoiding walks on a regular lattice, based on the length-doubling method described in: Exact enumeration of self-avoiding walks by Raoul D. Schram, Gerard T. Barkema, and Rob H. Bisseling Journal of Statistical Mechanics: Theory and Experiment (2011) p06019.

The aim of the package is to enable counting self-avoiding walks on a variety of lattices, and stimulate research into this topic. Please feel free to explore the possibilities of modifying this program. Have fun!

The package includes three example lattices: the 3D simple cubic (SC) lattice, the BCC lattice, and the FCC lattice. All functions related to the specific lattice are included in one file (e.g. lattice_sc.c) and all functions related to the counting procedure in another (sawdoubler.c). Furthermore there are files that capture common symmetries of the lattices. This way, it is easy to modify the lattice without touching the counting functions and data structures.

- The number of walks
*Z_N*can now be determined for every integer*N*, in particular odd*N*. The length-doubling method computes*Z_(N+M)*for every pair of integers*N, M*>= 1. - The squared end-to-end distance
*P_N*is also computed, defined as the sum of the squared Euclidean distances of the endpoints of all the self-avoiding walks. - New lattices have been added to the simple cubic (SC) lattice: Body-Centred Cubic (BCC), Face-Centred Cubic (FCC).
- A parallel version is included based on the MulticoreBSP library for easy shared memory parallel programming.

The length-doubling method has been published in Exact enumeration of self-avoiding walks by Raoul D. Schram, Gerard T. Barkema, and Rob H. Bisseling Journal of Statistical Mechanics: Theory and Experiment (2011) p06019.

The paper accompanying the SAWdoubler software, explaining the algorithm
and its implementation, and also presenting timing experiments and
discussing memory use
is
SAWdoubler: a program for counting
self-avoiding walks
by Raoul D. Schram, Gerard T. Barkema, and Rob H. Bisseling,
Computer Physics Communications, **184** (2013) pp. 891-898.

Results on the BCC and FCC lattice are obtained and analysed in Exact enumeration of self-avoiding walks on BCC and FCC lattices by Raoul D. Schram, Gerard T. Barkema, Rob H. Bisseling, and Nathan Clisby, arXiv:1703.09340 [cond-mat.stat-mech] March 27, 2017.

- Self-avoiding walks by Rob Bisseling, joint work with Raoul Schram and Gerard Barkema, Lecture given at Mathematics colloquium, Utrecht April 19, 2012.

This software is copyrighted (version 1, 2012; version 2, 2017) by Raoul Schram, Rob Bisseling, Gerard Barkema. You can use and modify it under the GNU Lesser General Public License, see GNU Licenses. Also see the files, README, COPYING, COPYING.LESSER. Anything free, as usual, comes with no guarantee!

Download the first version of the SAWdoubler software, version 1.0 (tar gzipped), released August 15, 2012.

Last updated March 29, 2017.

to Home page Rob Bisseling.