# From Relativistic Mechanics towards Relativistic Statistical Mechanics

@article{Lusanna2017FromRM, title={From Relativistic Mechanics towards Relativistic Statistical Mechanics}, author={Luca Lusanna}, journal={Entropy}, year={2017}, volume={19}, pages={436} }

Till now, kinetic theory and statistical mechanics of either free or interacting point particles were well defined only in non-relativistic inertial frames in the absence of the long-range inertial forces present in accelerated frames. As shown in the introductory review at the relativistic level, only a relativistic kinetic theory of “world-lines” in inertial frames was known till recently due to the problem of the elimination of the relative times. The recent Wigner-covariant formulation of…

## 20 Citations

### Field-Theoretical Representation of Interactions between Particles: Classical Relativistic Probability-Free Kinetic Theory

- PhysicsUniverse
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It was proven that the class of stable interatomic potentials can be represented exactly as a superposition of Yukawa potentials. In this paper, an auxiliary scalar field was introduced to describe…

### Field representation of interatomic interactions: from relativistic dynamics to microscopic thermodynamics of both many-body and few-body systems

- Physics
- 2022

It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary scalar field is…

### Toward a relativistic microscopic substantiation of thermodynamics: classical relativistic many-particle dynamics

- PhysicsJournal of Physics: Conference Series
- 2021

An exact closed relativistic kinetic equation is derived for a system of identical classical particles interacting with each other through a scalar field. The law of variation of the energy of a…

### Relativistic kinetic theory: toward the microscopic substantiation of zeroth law of thermodynamics

- Physics
- 2021

An exact closed relativistic kinetic equation is derived for a system of identical classical particles interacting with each other through a scalar field. The microscopic deterministic mechanism of…

### Massless particles plus matter in the rest-frame instant form of dynamics

- PhysicsNon-Inertial Frames and Dirac Observables in Relativity
- 2019

After introducing the parametrized Minkowski theory describing a positive-energy scalar massless particle, we study the rest-frame instant form of dynamics of such a particle in the presence of…

### Relativistic Perfect Fluids and Covariant Thermodynamics

- PhysicsNon-Inertial Frames and Dirac Observables in Relativity
- 2019

A review of the relativistic description of perfect fluids and of covariant thermodynamics is given as a support to Chapter 4.

### Canonical Realizations of Lie Algebras, Poincaré Group, Poincar´e Orbits, and Wigner Boosts

- MathematicsNon-Inertial Frames and Dirac Observables in Relativity
- 2019

### Relativistic Dynamics and the Relativistic Center of Mass

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- 2019

### Grassmann Variables and Pseudo–Classical Lagrangians

- Non-Inertial Frames and Dirac Observables in Relativity
- 2019

### Post-Minkowskian and Post-Newtonian Approximations

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- 2019

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