Journal ArticleDOI
Remarks on Relativistic Statistical Mechanics. I
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In this paper, the modifications introduced by the specific forms of relativistic dynamics of many particle systems are shown to give rise to a different (with respect to the nonrelativistic case) manner to set the problems involved in a tentative construction of relativalistic statistical mechanics.Abstract:
The modifications introduced by the specific forms of relativistic dynamics of many‐particle systems are shown to give rise to a different (with respect to the nonrelativistic case) manner to set the problems involved in a tentative construction of relativistic statistical mechanics. Although the difficult problems of relativistic dynamics are not solved, it is possible to define relativistic generalizations of phase space, distribution functions, Gibbs ensembles, and average values. In particular, phase space is chosen for convenience and is no longer related (as is usually the case) to the ``initial data,'' whose nature is yet unknown. As a consequence, only those observables which depend on the variables characterizing phase space give rise to easily computed average values. However, it is possible to enlarge at will the basic phase space and to define subsequent densities from which average values may be calculated. [Example: The calculation of average values of observables A(…xiμ,uiμ…) needs only den...read more
Citations
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Journal ArticleDOI
Relativistic Brownian Motion
Jörn Dunkel,Peter Hänggi +1 more
TL;DR: In this paper, a review of recent progress in the phenomenological description of relativistic diffusion processes is presented, with a summary of open questions, which may serve as a starting point for future investigations.
Journal ArticleDOI
Relativistic Brownian motion
Jörn Dunkel,Peter Hänggi +1 more
TL;DR: In this article, a review of recent progress in the phenomenological description of relativistic diffusion processes is presented, with a summary of open questions and a starting point for future investigations and extensions of the theory.
Journal ArticleDOI
Relativistic stochastic processes.
TL;DR: In this paper, Relativistic stochastic processes in Minkowski space are defined and studied in a completely covariant manner, without particularizing the time variable, and it is shown that a number of usual definitions such as ''Gaussian process'' etc., cannot be given a fully invariant meaning.
Journal ArticleDOI
Thermodynamics of relativistic systems
TL;DR: The authors reviewed recent progress in the covariant formulation of thermodynamics and statistical mechanics, with emphasis on two topics: (i) a consistent treatment of transient effects which avoids the paradox of an infinite speed of heat, and (ii) the thermodynamics of black holes.
Journal ArticleDOI
Non-local observables and lightcone-averaging in relativistic thermodynamics
TL;DR: A new approach for defining thermodynamic quantities makes predictions that are, in principle, testable, and which might lead to a natural extension of thermodynamics to general relativity as mentioned in this paper.
References
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Journal ArticleDOI
Information Theory and Statistical Mechanics. II
TL;DR: In this article, the authors consider statistical mechanics as a form of statistical inference rather than as a physical theory, and show that the usual computational rules, starting with the determination of the partition function, are an immediate consequence of the maximum-entropy principle.
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The theory of homogeneous turbulence
TL;DR: In this article, the kinematics of the field of homogeneous turbulence and the universal equilibrium theory of decay of the energy-containing eddies are discussed. But the authors focus on the dynamics of decay and not on the probability distribution of u(x).