The Theory of Critical Phenomena: An Introduction to the Renormalization Group

By J. Binney, N. Dowrick, A. Fisher, M. Newman. 1992

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Critical Assessment of Methods of Protein Structure Prediction (CASP) – Progress and New directions in Round XI (2016, methodology): “…in statistics, when trying to deduce causation,17 and in statistical physics, between sets of interacting particles, for example in Ising models.18 The pre-existing methods for treating this problem have now been adapted for the contact prediction problem by a number of research groups.19 –22…”
Protein structure prediction from sequence variation (2012, background): “Noncausal correlation is well understood in statistical physics; it includes, for instance, long-range order observed in spin systems, where in fact the spins only have short-range direct interactions, and is called ‘chained covariation’ 27,34 .”
An Introduction to the Nonperturbative Renormalization Group (2007, methodology): “As a pedagogical introduction, let us start by a simple and illuminating example of Wilson’s method implemented in x-space instead of momentum space and without having recourse to field theory [1, 2] (Fig.”
Finite-temperature models of Bose–Einstein condensation (2008, background): “12) studied recently in more detail in [221], and the related issue of the dynamics of the Berezinskii-Kosterlitz-Thouless (BKT) transition [80] in two dimensions to a state which does not possess long-range order but is instead associated with the unbinding of vortex pairs [194].”
Least effort and the origins of scaling in human language (2003, background): “As it occurs with other complex systems (16), the presence of a phase transition is associated with the emergence of power laws (17).”
Hyperuniform states of matter (2018, background): “Hyperuniform systems are poised at an exotic critical point in which the direct correlation function, defined via the Ornstein-Zernike relation [6], is long-ranged [27], in diametric contrast to standard thermal critical points in which the total correlation function is long-ranged and the correspon”
Micro-plasticity and recent insights from intermittent and small-scale plasticity (2017, background): “Strong power-law behavior can be a signature of criticality and scale-free behavior [181], and has in the context of plastic flow not only been reported for plasticity of crystalline materials, but also for shear-banding of metallic glasses [182], and other deforming disordered systems [183-185].”
Exact sampling with coupled Markov chains and applications to statistical mechanics (1996, background): “For example, carbon dioxide, xenon, and brass are thought to belong to the same universality class as the three-dimensional Ising model (see [8] and [12] and references contained therein).”