2000
DOI: 10.1073/pnas.97.1.32
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The middle way

Abstract: Mesoscopic organization in soft, hard, and biological matter is examined in the context of our present understanding of the principles responsible for emergent organized behavior (crystallinity, ferromagnetism, superconductivity, etc.) at long wavelengths in very large aggregations of particles. Particular attention is paid to the possibility that as-yet-undiscovered organizing principles might be at work at the mesoscopic scale, intermediate between atomic and macroscopic dimensions, and the implications of t… Show more

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Cited by 339 publications
(194 citation statements)
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“…As stressed by Laughlin et al (2000) and Laughlin (2000), even when the underlying microscopic properties and relationships for a dynamic system are not fully understood, the hope would be to find higher-level organizational principles that reliably associate collections of related microscopic states to collections of related macroscopic states, thus allowing some form of quantitative analysis to proceed.…”
Section: Emergence In Economic Systemsmentioning
confidence: 99%
“…As stressed by Laughlin et al (2000) and Laughlin (2000), even when the underlying microscopic properties and relationships for a dynamic system are not fully understood, the hope would be to find higher-level organizational principles that reliably associate collections of related microscopic states to collections of related macroscopic states, thus allowing some form of quantitative analysis to proceed.…”
Section: Emergence In Economic Systemsmentioning
confidence: 99%
“…The biochemically interesting emergent dynamics from a CME, thus, is not the deterministic differential equations, but rather a stochastic jump process within a set of discrete states defined by the deterministic attractors. This is distinctly a mesoscopic [24] driven system phenomenon: When the volume is too large, the time of escaping an attractor is practically infinite. Thus, the complex dynamics disappears.…”
Section: ∂P (Xt) ∂Tmentioning
confidence: 99%
“…An example of this problem is the self-organization of biosystems that evolve from basic molecules. This challenging subject is studied by using a variety of theoretical methods (2)(3)(4). The free-energy landscape model is nowadays the most used to describe such phenomena and especially the aging of the protein folding mechanism (1,5,6), i.e., the way in which proteins fold to their native state and then unfold (protein denaturation) (6,7).…”
mentioning
confidence: 99%