University of Illinois Urbana-Champaign

Phase transitions in fluids and biological systems

Sipos, Maksim

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Maksim_Sipos.pdf

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https://hdl.handle.net/2142/44295

Description

Title
Phase transitions in fluids and biological systems
Author(s)
Sipos, Maksim
Issue Date
2013-05-24T22:06:52Z
Director of Research (if dissertation) or Advisor (if thesis)
Goldenfeld, Nigel D.
Doctoral Committee Chair(s)
Oono, Yoshitsugu
Committee Member(s)
  • Goldenfeld, Nigel D.
  • Weaver, Richard L.
  • Chemla, Yann R.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2013-05-24T22:06:52Z
Keyword(s)
  • transition to turbulence
  • directed percolation
  • directed polymers
  • evolution
  • ecology
  • neutral theory
  • niche theory
  • Metagenomics
  • clustering
  • microbiome
Abstract
In this thesis, I consider systems from two seemingly different fields: fluid dynamics and microbial ecology. In these systems, the unifying features are the existences of global non-equilibrium steady states. I consider generic and statistical models for transitions between these global states, and I relate the model results with experimental data. A theme of this thesis is that these rather simple, minimal models are able to capture a lot of functional detail about complex dynamical systems. In Part I, I consider the transition between laminar and turbulent flow. I find that quantitative and qualitative features of pipe flow experiments, the superexponential lifetime and the splitting of turbulent puffs, and the growth rate of turbulent slugs, can all be explained by a coarse-grained, phenomenological model in the directed percolation universality class. To relate this critical phenomena approach closer to the fluid dynamics, I consider the transition to turbulence in the Burgers equation, a simplified model for Navier-Stokes equations. Via a transformation to a model of directed polymers in a random medium, I find that the transition to Burgers turbulence may also be in the directed percolation universality class. This evidence implies that the turbulent-to-laminar transition is statistical in nature and does not depend on details of the Navier-Stokes equations describing the fluid flow. In Part II, I consider the disparate subject of microbial ecology where the complex interactions within microbial ecosystems produce observable patterns in microbe abundance, diversity and genotype. In order to be able to study these patterns, I develop a bioinformatics pipeline to multiply align and quickly cluster large microbial metagenomics datasets. I also develop a novel metric that quantifies the degree of interactions underlying the assembly of a microbial ecosystem, particularly the transition between neutral (random) and niche (deterministic) assembly. I apply this metric to 16S rRNA metagenomic studies of 6 vertebrate gastrointestinal microbiomes and find that they assembled through a highly non-neutral process. I then consider a phase transition that may occur in nutrient-poor environments such as ocean surface waters. In these systems, I find that the experimentally observed genome streamlining, specialization and opportunism may well be generic statistical phenomena.
Graduation Semester
2013-05
Permalink
http://hdl.handle.net/2142/44295
Copyright and License Information
Copyright 2013 Maksim Sipos

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