Thermodynamics of irreversible aggregation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The emergence of a giant component from a population of finite-size clusters is a problem in mathematical physics that is encountered in fields as diverse as polymer gelation, percolation of networks, and the spread of epidemics. But while such processes have long invited thermodynamic analogies, a formal connection to thermodynamics that goes beyond the qualitative has not been established. Here we develop a thermodynamic theory for a generic mathematical object, a population of individuals that cluster into groups. The theory views the distribution in the scaling limit as the one that is most probable among all distributions that satisfy the physical constraints of the problem. In this context, the emergence of the giant cluster is a phase transition that is governed by equilibrium criteria analogous to those in molecular systems.

Original languageEnglish (US)
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsG. Stefanou, V. Papadopoulos, V. Plevris, M. Papadrakakis
PublisherNational Technical University of Athens
Pages120-136
Number of pages17
ISBN (Electronic)9786188284401
DOIs
StatePublished - Jan 1 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: Jun 5 2016Jun 10 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume1

Other

Other7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period6/5/166/10/16

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Applied Mathematics

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  • Cite this

    Matsoukas, T. (2016). Thermodynamics of irreversible aggregation. In G. Stefanou, V. Papadopoulos, V. Plevris, & M. Papadrakakis (Eds.), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (pp. 120-136). (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering; Vol. 1). National Technical University of Athens. https://doi.org/10.7712/100016.1797.10608