Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2014, Volume 90, Issue 12

We investigate the purely spatial Lagrangian coordinate transformation from the Lagrangian to the basic Eulerian frame. We demonstrate three techniques for...

GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | APPROXIMATION | ASTRONOMY & ASTROPHYSICS | DYNAMICS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS

GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | APPROXIMATION | ASTRONOMY & ASTROPHYSICS | DYNAMICS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of the Korean Physical Society, ISSN 0374-4884, 12/2018, Volume 73, Issue 12, pp. 1840 - 1844

Working in an arbitrary Lorentz frame, we address the question of formulating the covariant variational principle for classical, single-particle, dissipative,...

Relativistic dynamics | Theoretical, Mathematical and Computational Physics | Variational principle | Rayleigh motion | Kanai Lagrangian | Physics, general | Physics | Particle and Nuclear Physics | Drag coefficient

Relativistic dynamics | Theoretical, Mathematical and Computational Physics | Variational principle | Rayleigh motion | Kanai Lagrangian | Physics, general | Physics | Particle and Nuclear Physics | Drag coefficient

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2013, Volume 87, Issue 12, p. 123503

Kinematical and dynamical properties of a generic inhomogeneous cosmological model, spatially averaged with respect to free-falling (generalized fundamental)...

ACCELERATION | PERTURBATION-THEORY | DUST | BACKREACTION | ASTRONOMY & ASTROPHYSICS | DARK ENERGY | INHOMOGENEOUS FLUIDS | ZELDOVICH APPROXIMATION | NUMERICAL SIMULATIONS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

ACCELERATION | PERTURBATION-THEORY | DUST | BACKREACTION | ASTRONOMY & ASTROPHYSICS | DARK ENERGY | INHOMOGENEOUS FLUIDS | ZELDOVICH APPROXIMATION | NUMERICAL SIMULATIONS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

Journal Article

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 05/2018, Issue 5

Journal Article

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 01/2016, Issue 1

We study the relativistic dynamics of a pressure-less and irrotational fluid of dark matter (CDM) with a cosmological constant (Lambda), up to second order in...

2ND-ORDER | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | gravity | ASTRONOMY & ASTROPHYSICS | cosmic flows | cosmological perturbation theory | dark matter theory | PHYSICS, PARTICLES & FIELDS

2ND-ORDER | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | gravity | ASTRONOMY & ASTROPHYSICS | cosmic flows | cosmological perturbation theory | dark matter theory | PHYSICS, PARTICLES & FIELDS

Journal Article

American Journal of Physics, ISSN 0002-9505, 09/2018, Volume 86, Issue 9, pp. 678 - 682

In introductory general relativity courses, free particle trajectories, such as astronomical orbits, are generally developed via a Lagrangian and variational...

PHYSICS, MULTIDISCIPLINARY | EDUCATION, SCIENTIFIC DISCIPLINES | Hamiltonian function | Study and teaching | Orbits | Calculus | Comparative analysis | General relativity (Physics) | Lagrangian functions

PHYSICS, MULTIDISCIPLINARY | EDUCATION, SCIENTIFIC DISCIPLINES | Hamiltonian function | Study and teaching | Orbits | Calculus | Comparative analysis | General relativity (Physics) | Lagrangian functions

Journal Article

Annals of Physics, ISSN 0003-4916, 09/2015, Volume 360, pp. 539 - 548

We present two types of relativistic Lagrangians for the Lorentzâ€“Dirac equation written in terms of an arbitrary world-line parameter. One of the Lagrangians...

Lagrangian | Lorentzâ€“Dirac equation | Radiation reaction | Charged particle | Lorentz-Dirac equation | PARTICLE | PHYSICS, MULTIDISCIPLINARY | ELECTRODYNAMICS | ELIMINATION | MOTION | EXTRINSIC CURVATURE | RUNAWAY SOLUTIONS | QUANTIZATION | DAMPED HARMONIC-OSCILLATOR | RENORMALIZATION | Quantum physics | Lagrange multiplier | Parameter estimation | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CHARGED PARTICLES | LAGRANGIAN FUNCTION | RELATIVISTIC RANGE

Lagrangian | Lorentzâ€“Dirac equation | Radiation reaction | Charged particle | Lorentz-Dirac equation | PARTICLE | PHYSICS, MULTIDISCIPLINARY | ELECTRODYNAMICS | ELIMINATION | MOTION | EXTRINSIC CURVATURE | RUNAWAY SOLUTIONS | QUANTIZATION | DAMPED HARMONIC-OSCILLATOR | RENORMALIZATION | Quantum physics | Lagrange multiplier | Parameter estimation | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CHARGED PARTICLES | LAGRANGIAN FUNCTION | RELATIVISTIC RANGE

Journal Article

CLASSICAL AND QUANTUM GRAVITY, ISSN 0264-9381, 05/2019, Volume 36, Issue 10, p. 105004

The inner crust of a mature neutron star is composed of an elastic lattice of neutron-rich nuclei penetrated by free neutrons. These neutrons can flow relative...

ENTRAINMENT | QUANTUM SCIENCE & TECHNOLOGY | perturbation theory | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | OSCILLATIONS | FOUNDATIONS | fluid dynamics | neutron star | PHYSICS, PARTICLES & FIELDS

ENTRAINMENT | QUANTUM SCIENCE & TECHNOLOGY | perturbation theory | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | OSCILLATIONS | FOUNDATIONS | fluid dynamics | neutron star | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2008, Volume 227, Issue 16, pp. 7889 - 7916

In this paper we present a new method for the numerical solution of the relativistic Vlasovâ€“Maxwell system on a phase-space grid using an adaptive...

Wavelets | Relativistic Vlasovâ€“Maxwell system | Multiresolution analysis | Laserâ€“plasma interaction | Laser-plasma interaction | Relativistic Vlasov-Maxwell system | PHASE-SPACE | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTEGRATION | ACCELERATOR | wavelets | CONSERVATION-LAWS | SIMULATIONS | relativistic Vlasov-Maxwell system | multiresolution analysis | ELECTRON GAS | EQUATION | PROPAGATION | laser-plasma interaction | SCHEMES | Numerical Analysis | Mathematics | PHASE SPACE | ERRORS | LASERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ELECTRONS | ONE-DIMENSIONAL CALCULATIONS | SIMULATION | TWO-DIMENSIONAL CALCULATIONS | FINITE ELEMENT METHOD | LAGRANGIAN FUNCTION | RELATIVISTIC RANGE | ACCELERATION | DISTRIBUTION FUNCTIONS | PLASMA | ELECTROMAGNETIC RADIATION | EFFICIENCY

Wavelets | Relativistic Vlasovâ€“Maxwell system | Multiresolution analysis | Laserâ€“plasma interaction | Laser-plasma interaction | Relativistic Vlasov-Maxwell system | PHASE-SPACE | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTEGRATION | ACCELERATOR | wavelets | CONSERVATION-LAWS | SIMULATIONS | relativistic Vlasov-Maxwell system | multiresolution analysis | ELECTRON GAS | EQUATION | PROPAGATION | laser-plasma interaction | SCHEMES | Numerical Analysis | Mathematics | PHASE SPACE | ERRORS | LASERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ELECTRONS | ONE-DIMENSIONAL CALCULATIONS | SIMULATION | TWO-DIMENSIONAL CALCULATIONS | FINITE ELEMENT METHOD | LAGRANGIAN FUNCTION | RELATIVISTIC RANGE | ACCELERATION | DISTRIBUTION FUNCTIONS | PLASMA | ELECTROMAGNETIC RADIATION | EFFICIENCY

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2012, Volume 86, Issue 2, p. 023520

In this paper, we present a Lagrangian framework for the description of structure formation in general relativity, restricting attention to irrotational dust...

PERTURBATION-THEORY | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | INHOMOGENEOUS FLUIDS | FRIEDMAN-LEMAITRE COSMOLOGIES | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | AVERAGE PROPERTIES | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

PERTURBATION-THEORY | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | INHOMOGENEOUS FLUIDS | FRIEDMAN-LEMAITRE COSMOLOGIES | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | AVERAGE PROPERTIES | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2015, Volume 92, Issue 2, p. 023512

The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the first-order trace solutions that are...

EXPANDING UNIVERSE | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | DYNAMICS | FRIEDMAN-LEMAITRE COSMOLOGIES | NON-LINEAR THEORY | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | WEYL TENSOR | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

EXPANDING UNIVERSE | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | DYNAMICS | FRIEDMAN-LEMAITRE COSMOLOGIES | NON-LINEAR THEORY | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | WEYL TENSOR | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2012, Volume 86, Issue 3, p. 031703

We develop a relativistic variational model for a nematic liquid crystal interacting with an electromagnetic field. The constitutive relation for a general...

VARIATIONAL PRINCIPLE | MECHANICS | THERMODYNAMICS | FLUID | MOMENTUM | PHYSICS, FLUIDS & PLASMAS | LIGHT | DYNAMICS | CONSTITUTIVE EQUATIONS | PHYSICS, MATHEMATICAL

VARIATIONAL PRINCIPLE | MECHANICS | THERMODYNAMICS | FLUID | MOMENTUM | PHYSICS, FLUIDS & PLASMAS | LIGHT | DYNAMICS | CONSTITUTIVE EQUATIONS | PHYSICS, MATHEMATICAL

Journal Article

Ricerche di Matematica, ISSN 0035-5038, 11/2015, Volume 64, Issue 2, pp. 357 - 376

The salient points of relativistic extended thermodynamics (R.E.T.) are here revised according to the Lagrangian view-point: attention is focused to each...

Conservation laws and constitutive relations | Thermodynamics 05.70. $$-$$ - a | Probability Theory and Stochastic Processes | Mathematics | Special relativity 83A05 | Relativistic fluid dynamics | Hyperbolic equations 58J145 | Geometry | Algebra | Conservation laws 35L65 | Analysis | Numerical Analysis | Mathematics, general | Relativistic fluid dynamics 47.75.+f | Conservation laws and constitutive relations 47.10.ab | Thermodynamics 05.70.(formula presented.) | Fluid dynamics | Thermodynamics | Environmental law

Conservation laws and constitutive relations | Thermodynamics 05.70. $$-$$ - a | Probability Theory and Stochastic Processes | Mathematics | Special relativity 83A05 | Relativistic fluid dynamics | Hyperbolic equations 58J145 | Geometry | Algebra | Conservation laws 35L65 | Analysis | Numerical Analysis | Mathematics, general | Relativistic fluid dynamics 47.75.+f | Conservation laws and constitutive relations 47.10.ab | Thermodynamics 05.70.(formula presented.) | Fluid dynamics | Thermodynamics | Environmental law

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2014, Volume 736, Issue C, pp. 278 - 282

We found Lagrangian action which describes spinning particle on the base of non-Grassmann vector and involves only one auxiliary variable. It provides the...

Theories with constraints | Ultrarelativistic spinning particle | Semiclassical description of relativistic spin | Dirac equation | PARTICLES | ZITTERBEWEGUNG | THOMAS PRECESSION | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Electromagnetic fields | Electromagnetism | Mathematical Physics | Physics - General Physics | Nuclear and High Energy Physics | Quantum Physics | High Energy Physics - Theory | Physics

Theories with constraints | Ultrarelativistic spinning particle | Semiclassical description of relativistic spin | Dirac equation | PARTICLES | ZITTERBEWEGUNG | THOMAS PRECESSION | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Electromagnetic fields | Electromagnetism | Mathematical Physics | Physics - General Physics | Nuclear and High Energy Physics | Quantum Physics | High Energy Physics - Theory | Physics

Journal Article

Physical Review D, ISSN 2470-0010, 09/2016, Volume 94, Issue 6

We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We...

DYNAMICS | KINETIC-THEORY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

DYNAMICS | KINETIC-THEORY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 05/2016, Volume 312, pp. 333 - 356

The DG algorithm is a powerful method for solving pdes, especially for evolution equations in conservation form. Since the algorithm involves integration over...

Moving mesh | Discontinuous Galerkin | Magnetohydrodynamics | Arbitrary Lagrangianâ€“Eulerian (ALE) | Metric identities | Hydrodynamics | Geometric conservation law | Einstein's equations | Arbitrary Lagrangian-Eulerian (ALE) | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | EQUATIONS | PHYSICS, MATHEMATICAL | Usage | Algorithms | Astronomy | Methods | Fluid dynamics | Environmental law | Beer | Astrophysics | Mathematical analysis | Flats | Conservation | Derivation | Mathematical models | Galerkin methods

Moving mesh | Discontinuous Galerkin | Magnetohydrodynamics | Arbitrary Lagrangianâ€“Eulerian (ALE) | Metric identities | Hydrodynamics | Geometric conservation law | Einstein's equations | Arbitrary Lagrangian-Eulerian (ALE) | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EVOLUTION | EQUATIONS | PHYSICS, MATHEMATICAL | Usage | Algorithms | Astronomy | Methods | Fluid dynamics | Environmental law | Beer | Astrophysics | Mathematical analysis | Flats | Conservation | Derivation | Mathematical models | Galerkin methods

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 02/2017, Volume 14, Issue 2

Any theory that is based on an action principle has a much greater predictive power than one that does not have such a formulation. The formulation of a...

astrophysics | rotational motion | Action principle | hydrodynamics | general relativity | VARIATIONAL PRINCIPLE | STARS | PHYSICS, MATHEMATICAL

astrophysics | rotational motion | Action principle | hydrodynamics | general relativity | VARIATIONAL PRINCIPLE | STARS | PHYSICS, MATHEMATICAL

Journal Article

The Astrophysical Journal Supplement Series, ISSN 0067-0049, 12/2011, Volume 197, Issue 2, p. 15

We have generalized a method for the numerical solution of hyperbolic systems of equations using a dynamic Voronoi tessellation of the computational domain....

methods: numerical | hydrodynamics | NUMERICAL SCHEME | REFINEMENT | ASTRONOMY & ASTROPHYSICS | EQUATIONS | MHD | MAGNETOHYDRODYNAMICS | SIMULATIONS | FLOWS | GAMMA-RAY BURSTS | VELOCITY | NUMERICAL SOLUTION | PERFORMANCE | LAGRANGIAN FUNCTION | SHOCK WAVES | ACCURACY | RELATIVISTIC RANGE | SPHERICAL CONFIGURATION | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | CONSERVATION LAWS | CYLINDRICAL CONFIGURATION

methods: numerical | hydrodynamics | NUMERICAL SCHEME | REFINEMENT | ASTRONOMY & ASTROPHYSICS | EQUATIONS | MHD | MAGNETOHYDRODYNAMICS | SIMULATIONS | FLOWS | GAMMA-RAY BURSTS | VELOCITY | NUMERICAL SOLUTION | PERFORMANCE | LAGRANGIAN FUNCTION | SHOCK WAVES | ACCURACY | RELATIVISTIC RANGE | SPHERICAL CONFIGURATION | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | CONSERVATION LAWS | CYLINDRICAL CONFIGURATION

Journal Article

Physical Review Letters, ISSN 0031-9007, 11/2010, Volume 105, Issue 19, p. 190403

We demonstrate that Dirac fermions self-interacting or coupled to dynamic scalar fields can emerge in the low energy sector of designed bosonic and fermionic...

PHYSICS, MULTIDISCIPLINARY | LATTICE | EQUATION | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENERGY RANGE | FERMIONS | CORRELATIONS | GAUGE INVARIANCE | RELATIVISTIC RANGE | THIRRING MODEL | FIELD THEORIES | SPACE-TIME | SCALAR FIELDS | ATOMS | INVARIANCE PRINCIPLES | SPECTRA | QUANTUM FIELD THEORY | LAGRANGIAN FIELD THEORY

PHYSICS, MULTIDISCIPLINARY | LATTICE | EQUATION | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENERGY RANGE | FERMIONS | CORRELATIONS | GAUGE INVARIANCE | RELATIVISTIC RANGE | THIRRING MODEL | FIELD THEORIES | SPACE-TIME | SCALAR FIELDS | ATOMS | INVARIANCE PRINCIPLES | SPECTRA | QUANTUM FIELD THEORY | LAGRANGIAN FIELD THEORY

Journal Article

Physical Review D, ISSN 2470-0010, 04/2018, Volume 97, Issue 8

We propose the Lagrangian formulation for describing the motion of a test particle in a general relativistic, stationary, and axially symmetric spacetime. The...

MATTER | CIRCULAR ORBITS | FRAMES | STAR | ASTRONOMY & ASTROPHYSICS | CENTRIFUGAL FORCES | DYNAMICS | GRAVITATIONAL-FIELD | OPTICAL REFERENCE GEOMETRY | RADIATION | STATIONARY | PHYSICS, PARTICLES & FIELDS

MATTER | CIRCULAR ORBITS | FRAMES | STAR | ASTRONOMY & ASTROPHYSICS | CENTRIFUGAL FORCES | DYNAMICS | GRAVITATIONAL-FIELD | OPTICAL REFERENCE GEOMETRY | RADIATION | STATIONARY | PHYSICS, PARTICLES & FIELDS

Journal Article