The Strength of First and Second Order Phase Transitions from Partition Function Zeroes

W. Janke, Ralph Kenna

Research output: Contribution to journalArticle

72 Citations (Scopus)
3 Downloads (Pure)

Abstract

We present a numerical technique employing the density of partition function zeroes (i) to distinguish between phase transitions of first and higher order, (ii) to examine the crossover between such phase transitions and (iii) to measure the strength of first and second order phase transitions in the form of latent heat and critical exponents. These techniques are demonstrated in applications to a number of models for which zeroes are available.
Original languageEnglish
Pages (from-to)1211-1227
JournalJournal of Statistical Physics
Volume102
Issue number5-6
DOIs
Publication statusPublished - Mar 2001

Fingerprint

Partition Function
partitions
Phase Transition
First-order
Zero
latent heat
Numerical Techniques
Critical Exponents
Crossover
crossovers
Heat
exponents
Higher Order
Model
Form

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/cond-mat/0012026
The final publication is available at Springer via http://dx.doi.org/10.1023/A:1004836227767

Keywords

  • density of partition function zeroes
  • phase transitions
  • finite size scaling
  • latent heat
  • critical exponents

Cite this

The Strength of First and Second Order Phase Transitions from Partition Function Zeroes. / Janke, W.; Kenna, Ralph.

In: Journal of Statistical Physics, Vol. 102, No. 5-6, 03.2001, p. 1211-1227.

Research output: Contribution to journalArticle

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