Results 91 to 100 of about 2,003,558 (249)
Nonlinear conformal-degree preserving Dirac equations [PDF]
, 2013 Nonlinear Dirac equations in D+1 space-time are obtained by variation of the spinor action whose Lagrangian components have the same conformal degree and the coupling parameter of the self-interaction term is dimensionless. In 1+1 dimension, we show that
Alhaidari, A. D.
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EXACT LOCALIZED SOLUTION OF THE NONLINEAR DIRAC EQUATION
, 2023 MAJOR ADVISOR: Dr. A. K. MISHRA ABSTRACT The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models
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Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
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Modeling nonlinear systems using multiple piecewise linear equations [PDF]
, 2010 This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the ...
Lowe, G. K. K., Zohdy, M. A. A.
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Structure of Dirac matrices and invariants for nonlinear Dirac equations
Differential and Integral Equations, 2004 We present invariants for nonlinear Dirac equations in space-time ${\mathbb R}^{n+1}$, by which we prove that a special choice of the Cauchy data yields free solutions. Our argument works for Klein-Gordon-Dirac equations with Yukawa coupling as well. Related problems on the structure of Dirac matrices are studied.
Ozawa, Tohru, Yamauchi, Kazuyuki
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Confined Hot Carrier Cooling Via Excited‐State Energy Gap Engineering in Graphyne Carbon Allotropes
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.The excited‐state energy gap (EEG), regulated by the concentration of sp‐hybridized carbon, provides an effective handle for tuning electron–phonon coupling behavior. This design enables long‐lived confinement of hot carriers near the top of the EEG with controllable energy levels.
Fulong Dai +9 more
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
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Representations of sl(2,?) in category O and master symmetries [PDF]
, 2015 We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
, 2020 New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Alngar, Mohamed E.M. +2 more
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Low‐dimensional materials (0D, 1D, and 2D) exhibit unique electronic and physicochemical properties, enabling advanced nanoelectronic and optoelectronic devices. Mixed‐dimensional heterostructures combine these materials to enhance functionality.
Qaisar Alam +3 more
wiley +1 more source