Distinguishability of particles in glass-forming systems

John C. Mauro, Morten M. Smedskjaer

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The distinguishability of particles has important implications for calculating the partition function in statistical mechanics. While there are standard formulations for systems of identical particles that are either fully distinguishable or fully indistinguishable, many realistic systems do not fall into either of these limiting cases. In particular, the glass transition involves a continuous transition from an ergodic liquid system of indistinguishable particles to a nonergodic glassy system where the particles become distinguishable. While the question of partial distinguishability of microstates has been treated previously in quantum information theory, this issue has not yet been addressed for a system of classical particles. In this paper, we present a general theoretical formalism for quantifying particle distinguishability in classical systems. This formalism is based on a classical definition of relative entropy, such as applied in quantum information theory. Example calculations for a simple glass-forming system demonstrate the continuous onset of distinguishability as temperature is lowered. We also examine the loss of distinguishability in the limit of long observation time, coinciding with the restoration of ergodicity. We discuss some of the general implications of our work, including the direct connection to topological constraint theory of glass. We also discuss qualitative features of distinguishability as they relate to the Second and Third Laws of thermodynamics.

Original languageEnglish (US)
Pages (from-to)5392-5403
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume391
Issue number22
DOIs
StatePublished - Nov 15 2012

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glass
information theory
Quantum Information Theory
formalism
Relative Entropy
statistical mechanics
restoration
Glass Transition
Ergodicity
Glass
partitions
Restoration
Statistical Mechanics
Partition Function
Thermodynamics
entropy
Limiting
formulations
thermodynamics
Liquid

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Distinguishability of particles in glass-forming systems. / Mauro, John C.; Smedskjaer, Morten M.

In: Physica A: Statistical Mechanics and its Applications, Vol. 391, No. 22, 15.11.2012, p. 5392-5403.

Research output: Contribution to journalArticle

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