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Title: Knot invariants and the thermodynamics of lattice gas automata

Abstract

The goal of this project is to build on the understanding of the connections between knot invariants, exactly solvable statistical mechanics models and discrete dynamical systems that we have gained in earlier work, toward an answer to the question of how early and robust thermodynamic behavior appears in lattice gas automata.

Authors:
Publication Date:
Research Org.:
California Univ., San Diego, La Jolla, CA (United States). Inst. of Pure and Applied Physical Sciences
Sponsoring Org.:
USDOE; USDOE, Washington, DC (United States)
OSTI Identifier:
5362571
Report Number(s):
DOE/ER/14176-T1
ON: DE92011853
DOE Contract Number:
FG03-91ER14176
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CRYSTAL LATTICES; STATISTICAL MECHANICS; GASES; AUTOMATION; PROGRESS REPORT; STATISTICAL MODELS; THERMODYNAMICS; CRYSTAL STRUCTURE; DOCUMENT TYPES; FLUIDS; MATHEMATICAL MODELS; MECHANICS; 661300* - Other Aspects of Physical Science- (1992-)

Citation Formats

Meyer, D.A.. Knot invariants and the thermodynamics of lattice gas automata. United States: N. p., 1992. Web. doi:10.2172/5362571.
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Meyer, D.A.. Knot invariants and the thermodynamics of lattice gas automata. United States. doi:10.2172/5362571.
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Meyer, D.A.. Wed . "Knot invariants and the thermodynamics of lattice gas automata". United States. doi:10.2172/5362571. https://www.osti.gov/servlets/purl/5362571.
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@article{osti_5362571,
title = {Knot invariants and the thermodynamics of lattice gas automata},
author = {Meyer, D.A.},
abstractNote = {The goal of this project is to build on the understanding of the connections between knot invariants, exactly solvable statistical mechanics models and discrete dynamical systems that we have gained in earlier work, toward an answer to the question of how early and robust thermodynamic behavior appears in lattice gas automata.},
doi = {10.2172/5362571},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 1992},
month = {Wed Jan 01 00:00:00 EST 1992}
}
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Technical Report:
View Technical Report (0.47 MB)
DOI:  10.2172/5362571
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  • The goal of this project has been to build on the understanding of the connections between knot invariants, exactly solvable statistical mechanics models and discrete dynamical systems gained in earlier work, toward an answer to the question of how early and robust thermodynamic behavior appears in lattice gas automata. These investigations have recently become relevant, unanticipatedly, to crucial issues in quantum computation.

  • The goal of this project is to build on the understanding of the connections between knot invariants, exactly solvable statistical mechanics models and discrete dynamical systems that we have gained in earlier work, toward an answer to the question of how early and robust thermodynamic behavior appears in lattice gas automata.

  • ; ;
    This is a re-analysis of the Lattice QCD Thermodynamics p4rhcm new beta analysis (UCRL-TR-230742) with approximately 10k trajectories per beta point, rerun with thermalization cut at 1000, and a block size of 500. Some diagnostic text has been omitted to reduce the number of pages.

  • ;
    These results represent the first LQCD analysis for approximately 5000 trajectories with each of the p4rhmc and milc codes, with some of the lower temperature runs having fewer. Both runs were for lattice dimensions of 32{sup 3}x8. Some 32{sup 4} T=0 jobs were also run for p4rhmc. The p4 calculation was performed with v2.0 QMP{_}MPI.X (semi-optimized p4 code using qmp over mpi) and milc version of the su3 rhmc susc eos executable dated Mar 1, 2007 on ubgl in the /usr/gapps/hip/qcd/milc/bin subdirectory (svn revision 28). As with previous runs, calculations were performed along lines of constant physics, with the lightmore » quark masses 2-3 times their physics values and the strange quark mass set by m{sub ud} = 0.1m{sub s}. Job submissions were performed using a new subSet.pl job submission script that locates current jobs and submits additional jobs with the same beta value as pending. Note that after reaching a limit of about 35 jobs subsequent submissions are delayed and will not be submitted directly from that state. The job submission script was used to submit revised versions of the milc and p4rhmc csh scripts. Initial thermalized lattices for each code were also for milc (taken from the firstPhys runs), but the p4rhmc runs include thermalization. The only modifications for running on BG/L were to the directory names and the mT parameter which determines job durations (24 hrs on BG/L vs. 4 hrs on ubgl). All finite temperature jobs were submitted to the 512 node partitions, and all T=0 runs were submitted to 2048 node partitions. The set of runs was plagued by filesystem errors on lscratch1 and lscratcH{sub 2}. Many jobs had to be reset (deleting the most recent output file for milc and/or lattice for p4) and resubmitted. The analysis was performed with a new set of scripts that produced a more condensed output for scanning. All scans were verified with checksums, which have been retained in the output along with the line numbers. All lattices, log files, and job submission scripts have been archived to permanent storage in the 5k subdirectory for subsequent analysis.« less