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More is different.
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This article is published in Science.The article was published on 1972-08-04. It has received 3150 citations till now. The article focuses on the topics: MEDLINE & Scientific enterprise.read more
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A Systematic Framework and Nanoperiodic Concept for Unifying Nanoscience: Hard/Soft Nanoelements, Superatoms, Meta-Atoms, New Emerging Properties, Periodic Property Patterns, and Predictive Mendeleev-like Nanoperiodic Tables
TL;DR: This review traces the origins, evolution, and current status of such a critical nanoperiodic concept/framework for defining and unifying nanoscience.
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Natural world physical, brain operational, and mind phenomenal space-time.
TL;DR: In this paper, the authors explore the relation between brain and mind space-time, and discuss the hypothesis that via the brain operational space time, the mind subjective space time is connected to otherwise distant physical space time reality.
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Less is Different: Emergence and Reduction Reconciled
TL;DR: The main idea of as mentioned in this paper is to perform the deduction after taking a limit of some parameter, i.e. for finite N, and it is this weaker behaviour which is physically real.
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Symmetry breaking and quantum correlations in finite systems: studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
TL;DR: In this article, a unified description of strongly correlated phenomena in finite systems of repelling particles (whether fermions or bosons) is presented through the development of a two-step method of symmetry breaking at the unrestricted Hartree?Fock level and of subsequent symmetry restoration via post Hartree?Fock projection techniques.
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Hot‐spring Systems Geobiology: abiotic and biotic influences on travertine formation at Mammoth Hot Springs, Yellowstone National Park, USA
TL;DR: In this article, a conceptual framework across broad spatial and temporal scales in which to track how multiple geological and biological factors combine to control CaCO3 crystal precipitation and the resulting formation of travertine deposits is presented.
References
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Quasi-particles and gauge invariance in the theory of superconductivity
TL;DR: In this paper, it was shown that the Meissner effect can be maintained in the quasi-particle picture by taking into account a certain class of corrections to the chargecurrent operator due to the phonon and Coulomb interaction.
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Random-Phase Approximation in the Theory of Superconductivity
TL;DR: In this paper, a generalization of the random-phase approximation of the theory of Coulomb correlation energy is applied to the superconductivity theory, and it is shown that most elementary excitations have the Bardeen-Cooper-Schrieffer energy gap spectrum, but there are collective excitations also.
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An Approximate Quantum Theory of the Antiferromagnetic Ground State
TL;DR: In this paper, the ground state energy of the Kramers-Heller theory of ferromagnetic ground states has been investigated and its properties were shown to lie within limits found elsewhere on rigorous grounds.
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Coherent Excited States in the Theory of Superconductivity: Gauge Invariance and the Meissner Effect
TL;DR: In this article, it was shown that the non-gauge-invariant terms in the Hamiltonian of Bardeen, Cooper, and Schrieffer have an effect on these states which vanishes in the weak coupling limit.
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Wave propagation in the early stages of aggregation of cellular slime molds.
TL;DR: A detailed theory of the velocity of propagation of the acrasin pulse responsible for the aggregation of some of the cellular slime molds is presented and it is shown that there is a critical density of amebae below which the waves cannot propagate.