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Relativistic Statistical Mechanics vs. Relativistic Thermodynamics [PDF]
Entropy, 2011 Based on a covariant theory of equilibrium Thermodynamics, a Statistical Relativistic Mechanics is developed for the non-interacting case. Relativistic Thermodynamics and Jüttner Relativistic Distribution Function in a moving frame are obtained by using ...
Benjamín López-Carrera +1 more
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From Relativistic Mechanics towards Relativistic Statistical Mechanics [PDF]
Entropy, 2017 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.
Luca Lusanna
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Supersymmetric Relativistic Quantum Mechanics [PDF]
International Journal of Modern Physics A, 2005 We present an attempt to formulate the supersymmetric and relativistic quantum mechanics in the sense of realizing supersymmetry on the single particle level, by utilizing the equations of motion which is equivalent to the ordinary 2nd quantization of ...
HOLGER B. NIELSEN +3 more
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Dirac Equation and Fisher Information [PDF]
EntropyPreviously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow ...
Asher Yahalom
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Statistical predictions for the dynamics of a low-speed system: Newtonian versus special-relativistic mechanics. [PDF]
PLoS ONE, 2012 The newtonian and special-relativistic statistical predictions for the mean, standard deviation and probability density function of the position and momentum are compared for the periodically-delta-kicked particle at low speed.
Shiuan-Ni Liang, Boon Leong Lan
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Entropic Dynamics Approach to Relational Quantum Mechanics [PDF]
EntropyThe general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational Quantum Mechanics from well-known inference principles—probability, entropy and information geometry.
Ariel Caticha, Hassaan Saleem
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Comparison of newtonian and special-relativistic trajectories with the general-relativistic trajectory for a low-speed weak-gravity system. [PDF]
PLoS ONE, 2012 We show, contrary to expectation, that the trajectory predicted by general-relativistic mechanics for a low-speed weak-gravity system is not always well-approximated by the trajectories predicted by special-relativistic and newtonian mechanics for the ...
Shiuan-Ni Liang, Boon Leong Lan
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RELATIVISTIC VISCOELASTIC FLUID MECHANICS [PDF]
International Journal of Modern Physics: Conference Series, 2011 We explain the relativistic theory of viscoelasticity which we have recently constructed on the basis of Onsager's linear nonequilibrium thermodynamics. This theory universally reduces to the standard relativistic Navier-Stokes fluid mechanics in the long time limit. Since effects of elasticity are taken into account, the dynamics at short time scales
Fukuma, Masafumi, Sakatani, Yuho
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The Foundation of Classical Mechanics
Encyclopedia, 2021 Mechanics is the science of the equilibrium and motion of bodies subject to forces. The adjective classical, hence Classical Mechanics, was added in the 20th century to distinguish it from relativistic mechanics which studies motion with speed close to ...
Danilo Capecchi
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Scientific Reports, 2022 A localized nanoparticle insertion scheme is developed to decouple electron injection from laser evolution in laser wakefield acceleration. Here we report the experimental realization of a controllable electron injection by the nanoparticle insertion ...
Jiancai Xu +11 more
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