TY - JOUR
T1 - Univers de structures
AU - Newell, Alan C.
AU - Venkataramani, Shankar C.
N1 - Funding Information: ACN was supported by the NSF through the award DMS 1308862 and SCV was supported by the Simons Foundation through awards 524875 and 560103. We are grateful to Yves Pomeau and Amit Acharya for many stimulating discussions. Indeed, in this volume, Yves Pomeau has also suggested an intriguing candidate for dark matter in the form of a “dressed” neutrino. Portions of this work were carried out when SCV was visiting the Center for Nonlinear Analysis at Carnegie Mellon University. Funding Information: ACN was supported by the NSF through the award DMS 1308862 and SCV was supported by the Simons Foundation through awards 524875 and 560103. We are grateful to Yves Pomeau and Amit Acharya for many stimulating discussions. Indeed, in this volume, Yves Pomeau has also suggested an intriguing candidate for dark matter in the form of a ?dressed? neutrino. Portions of this work were carried out when SCV was visiting the Center for Nonlinear Analysis at Carnegie Mellon University. Publisher Copyright: © 2019
PY - 2019/4
Y1 - 2019/4
N2 - In this essay we explore analogies between macroscopic patterns, which result from a sequence of phase transitions/instabilities starting from a homogeneous state, and similar phenomena in cosmology, where a sequence of phase transitions in the early universe is believed to have separated the fundamental forces from each other, and also shaped the structure and distribution of matter in the universe. We discuss three distinct aspects of this analogy: (i)Defects and topological charges in macroscopic patterns are analogous to spins and charges of quarks and leptons; (ii)Defects in generic 3+1 stripe patterns carry an energy density that accounts for phenomena that are currently attributed to dark matter; (iii)Space-time patterns of interacting nonlinear waves display behaviors reminiscent of quantum phenomena including inflation, entanglement and dark energy.
AB - In this essay we explore analogies between macroscopic patterns, which result from a sequence of phase transitions/instabilities starting from a homogeneous state, and similar phenomena in cosmology, where a sequence of phase transitions in the early universe is believed to have separated the fundamental forces from each other, and also shaped the structure and distribution of matter in the universe. We discuss three distinct aspects of this analogy: (i)Defects and topological charges in macroscopic patterns are analogous to spins and charges of quarks and leptons; (ii)Defects in generic 3+1 stripe patterns carry an energy density that accounts for phenomena that are currently attributed to dark matter; (iii)Space-time patterns of interacting nonlinear waves display behaviors reminiscent of quantum phenomena including inflation, entanglement and dark energy.
KW - Cosmology
KW - Pattern formation
KW - Phase transitions
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U2 - 10.1016/j.crme.2019.03.004
DO - 10.1016/j.crme.2019.03.004
M3 - Short survey
SN - 1631-0721
VL - 347
SP - 318
EP - 331
JO - Comptes Rendus - Mecanique
JF - Comptes Rendus - Mecanique
IS - 4
ER -