02012nam0 2200469 i 450 VAN013363420230619120837.258N978331910753020210415d2015 |0itac50 baengCH|||| |||||High-Power OpticsLasers and ApplicationsVictor V. ApollonovCham : Springer, 2015xv275 p.ill. ; 24 cm001VAN00210152001 Springer series in optical sciences210 Berlin [etc.]Springer192VAN0134376High-Power Optics177158678-XXOptics, electromagnetic theory [MSC 2020]VANC022356MF00A79 (77-XX)Physics [MSC 2020]VANC023182MF78A60Lasers, masers, optical bistability, nonlinear optics [MSC 2020]VANC029030MFCapillar-porous StructuresKW:KHeat Transfer in Optical DevicesKW:KHigh Power Laser SystemsKW:KHigh-power OpticsKW:KHigh-repetition-rate Lasers CarriersKW:KIntermetallic Optical CoatingsKW:KLaser Resonator ConfigurationsKW:KMono-module Disk LaserKW:KMonolithic Laser MaterialsKW:KPhase GratingKW:KCHChamVANL001889ApollonovVictor V.VANV107401792298Springer <editore>VANV108073650ITSOL20240614RICAhttp://doi.org/10.1007/978-3-319-10753-0E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN0133634BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 2356 08eMF2356 20210415 High-Power Optics1771586UNICAMPANIA04651nam 22007695 450 991030038900332120200630104551.03-319-01204-510.1007/978-3-319-01204-9(CKB)2670000000428608(EBL)1466695(SSID)ssj0001010778(PQKBManifestationID)11593327(PQKBTitleCode)TC0001010778(PQKBWorkID)11018177(PQKB)10740826(MiAaPQ)EBC1466695(DE-He213)978-3-319-01204-9(PPN)172423678(EXLCZ)99267000000042860820130916d2014 u| 0engur|n|---|||||txtccrDeterministic Abelian Sandpile Models and Patterns /by Guglielmo Paoletti1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (171 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.3-319-01203-7 Introduction -- The Abelian Sandpile Model -- Algebraic structure -- Identity characterization -- Pattern formation -- Conclusions -- SL(2, Z) -- Complex notation for vectors in R2 -- Generalized quadratic B´ezier curve -- Tessellation.The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters.   The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an old subject. As such, it will be of interest to computer practitioners, demonstrating the simplicity with which charming patterns can be obtained, as well as to researchers working in many other areas.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Statistical physicsDynamical systemsPhysicsMathematical physicsProbabilitiesComputer simulationComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Statistical physics.Dynamical systems.Physics.Mathematical physics.Probabilities.Computer simulation.Complex Systems.Numerical and Computational Physics, Simulation.Mathematical Physics.Probability Theory and Stochastic Processes.Simulation and Modeling.Statistical Physics and Dynamical Systems.530530.15Paoletti Guglielmoauthttp://id.loc.gov/vocabulary/relators/aut791353BOOK9910300389003321Deterministic Abelian Sandpile Models and Patterns1768733UNINA