Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator

Details Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator

2001-01-11

arxiv.org/abs/cond-mat/0101171v1

Braz. J. Phys. 30 (2000), 766

Physics

Condensed Matter

9 pages, plain tex, 3 PS figures

Scientific paper

The Broad Histogram Method (BHM) allows one to determine the energy degeneracy g(E), i.e. the energy spectrum of a given system, from the knowledge of the microcanonical averages and of two macroscopic quantities Nup and Ndn defined within the method. The fundamental BHM equation relating g(E) to the quoted averages is exact and completely general for any conceivable system. Thus, the only possible source of numerical inaccuracies resides on the measurement of the averages themselves. In this text, we introduce a Monte Carlo recipe to measure microcanonical averages. In order to test its performance, we applied it to the Ising ferromagnet on a 32x32 square lattice. The exact values of g(E) are known up to this lattice size, thus it is a good standard to compare our numerical results with. Measuring the deviations relative to the exactly known values, we verified a decay proportional to 1/sqrt(counts), by increasing the counter (counts) of averaged samples over at least 6 decades. That is why we believe this microcanonical simulator presents no bias besides the normal statistical fluctuations. For counts~10**10, we measured relative deviations near 10**(-5) for both g(E) and the specific heat peak, obtained through BHM relation.

Affiliated with

Also associated with

No associations

Rating

Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Broad Histogram: Tests for a Simple and Efficient Microcanonical Simulator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629316