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http://dx.doi.org/10.1103/PhysRevLett.77.707 | DOI Listing |
Entropy (Basel)
December 2024
Istituto Nazionale di Alta Matematica (INdAM), 00185 Rome, Italy.
The status of the Second Law of Thermodynamics, even in the 21st century, is not as certain as when Arthur Eddington wrote about it a hundred years ago. It is not only about the truth of this law, but rather about its strict and exhaustive formulation. In the previous article, it was shown that two of the three most famous thermodynamic formulations of the Second Law of Thermodynamics are non-exhaustive.
View Article and Find Full Text PDFJ Chem Phys
November 2024
Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 121 16 Prague 2, Czech Republic.
Phys Rev E
October 2024
Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, 4 Kosygina St., 119991 Moscow, Russian Federation.
The fractional differentiation method's broad possibilities are demonstrated with rather simple but important examples of the anomalous diffusion trapping problems. In particular we evaluate the reaction rate coefficients for the subdiffusion-controlled reactions and for reactions describing by a diffusion equation with a half-order time derivative as a damping term. The distinctive feature of this aproach is that the reaction rate coefficient may be obtained by means of some factorization procedure immediately, without a preliminary solution to the corresponding initial boundary value diffusion problem.
View Article and Find Full Text PDFJ Chem Theory Comput
November 2024
Department of Chemical Sciences, University of Padua, via Marzolo 1, Padova I-35131, Italy.
Recently, a stochastic version of the quantum-classical Liouville equation has been proposed [Campeggio, J.; Cortivo, R.; Zerbetto, M.
View Article and Find Full Text PDFPhys Rev E
September 2024
Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Seville, Spain.
The kinetic theory description of a low-density gas of hard spheres or disks, confined between two parallel plates separated at a distance smaller than twice the diameter of the particles, is addressed starting from the Liouville equation of the system. The associated Bogoliubov, Born, Green, Kirkwood, and Yvon hierarchy of equations for the reduced distribution functions is expanded in powers of a parameter measuring the density of the system in the appropriate dimensionless units. The Boltzmann level of description is obtained by keeping only the two lowest orders in the parameter.
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