Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Material Laws and Numerical Methods in Applied Superconductivity   Contents Preface I Electromagnetism of type II superconductors 1 General
Statements Of The Critical State 1.1 The CS In The Maxwell Equations Formalism
1.2 The CS Regime And The MQS Limit 2 Variational Theory for CS Problems 2.1
General Principles Of The Variational Method 2.2 The Material Law: SCs with
magnetic anisotropy 2.2.1 Onto the 1D Critical States 2.2.2 Towards The 3D
Critical States 3 Computational Method Conclusions I References I II Critical
State Problems:Effects & Applications 4 Type-II SCs With Intrinsic Magnetic
Anisotropy 4.1 3D variational statement in slab geometry 4.2 Isotropic
predictions in -3D- configurations 4.3 T-states in -3D- configurations 4.4
CT-states in -3D- configurations 4.5 Smooth critical states in -3D-
configurations Appendix I Critical angle gradient in -3D- configurations 5 The
Longitudinal Transport Problem 5.1 Simplified analytical models and beyond
5.1.1 The simplest analytical model 5.1.2 The SDCST statement and the BM's
approach 5.2 Magnetic anisotropy and the uncommon effects 5.2.1 Extremal case:
The T-states model 5.2.2 Material laws with magnetic anisotropy: CT\chi -
models 6 Electromagnetism For Superconducting Wires 6.1 Theoretical framework
and general considerations 6.2 SC wires subjected to isolated external sources
6.2.1 Wires with an injected AC transport current 6.2.2 Wires under an external
AC magnetic flux 6.2.3 Ultimate considerations on the AC losses 6.3 SC wires
under simultaneous AC excitations (B_{0},I_{tr}) 6.3.1 Synchronous excitations
6.3.2 Asynchronous excitations Conclusions II References II Supplementary
Material II III Microscopical aspects also analyzed 7 E-Ph Theory And The Nodal
Kink Effect In HTSC 8 Is it necessary to go beyond the E-Ph mode? Conclusions
III References III Supplementary Material III IV Addenda

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th