On the relativistic micro-canonical ensemble and relativistic kinetic theory for N relativistic particles in inertial and non-inertial rest frames

DOI10.1142/S0219887815500498zbMath1317.83017arXiv1202.4667OpenAlexW2963373591MaRDI QIDQ5255218

David Alba, Horace Crater, Luca Lusanna

Publication date: 12 June 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4667

zbMATH Keywords

statistical mechanicsrelativistic kinetic theoryrelativistic micro-canonical ensemble

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (1)

Non-inertial frames in Minkowski space-time, accelerated either mathematical or dynamical observers and comments on non-inertial relativistic quantum mechanics

Cites Work

• Relativistic statistical mechanics vs. relativistic thermodynamics
• More clarity on the concept of material frame-indifference in classical continuum mechanics
• The microcanonical ensemble of the ideal relativistic quantum gas with angular momentum conservation
• Ergodic properties of microcanonical observables
• Stress and heat flux in non-inertial reference frames
• On the kinetic theory of relativistic gases
• Relativistic Boltzmann theory in \(D+1\) spacetime dimensions
• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• THE REST-FRAME INSTANT FORM OF RELATIVISTIC PERFECT FLUIDS WITH EQUATION OF STATE ρ=ρ(n, s) AND OF NONDISSIPATIVE ELASTIC MATERIALS
• THE SEMICLASSICAL RELATIVISTIC DARWIN POTENTIAL FOR SPINNING PARTICLES IN THE REST-FRAME INSTANT FORM: TWO-BODY BOUND STATES WITH SPIN 1/2 CONSTITUENTS
• The N- and 1-Time Classical Descriptions of N-Body Relativistic Kinematics and the Electromagnetic Interaction
• Note on the relativistic thermodynamics of moving bodies
• Thermal dynamics in general relativity
• Causal relativistic fluid dynamics
• GENERALIZED EULERIAN COORDINATES FOR RELATIVISTIC FLUIDS: HAMILTONIAN REST-FRAME INSTANT FORM, RELATIVE VARIABLES, ROTATIONAL KINEMATICS
• Covariant equilibrium statistical mechanics
• Variational multi-fluid dynamics and causal heat conductivity
• A novel approach to the determination of equilibrium properties of classical Hamiltonian systems with long-range interactions
• Action functionals for relativistic perfect fluids
• On relativistic entanglement and localization of particles and on their comparison with the nonrelativistic theory
• Relativistic quantum mechanics and relativistic entanglement in the rest-frame instant form of dynamics
• THERE EXIST DIFFERENT PROPOSALS FOR RELATIVISTIC TEMPERATURE TRANSFORMATION: THE WHYS AND WHEREFORES
• QUANTUM MECHANICS IN NONINERTIAL FRAMES WITH A MULTITEMPORAL QUANTIZATION SCHEME I: RELATIVISTIC PARTICLES
• QUANTUM MECHANICS IN NONINERTIAL FRAMES WITH A MULTITEMPORAL QUANTIZATION SCHEME II: NONRELATIVISTIC PARTICLES
• Relativistic statistical thermodynamics
• Relativistic Kinetic Equations Including Radiation Effects. I. Vlasov Approximation
• Hamiltonian relativistic two-body problem: center of mass and orbit reconstruction
• Generalized Statistical Mechanics
• Relativistic fluid dynamics: physics for many different scales
• The motion of point particles in curved spacetime
• Invariance of the relativistic one-particle distribution function
• The rest-frame Darwin potential from the Lienard-Wiechert solution in the radiation gauge

This page was built for publication: On the relativistic micro-canonical ensemble and relativistic kinetic theory for N relativistic particles in inertial and non-inertial rest frames