Coarse Graining Shannon and von Neumann Entropies
نویسندگان
چکیده
منابع مشابه
Coarse Graining Shannon and von Neumann Entropies
Ana Alonso-Serrano 1,*,† and Matt Visser 2,† 1 Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, 18000 Prague, Czech Republic 2 School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand; [email protected] * Correspondence: [email protected] † These authors contributed equally...
متن کاملEntropies from Coarse-graining: Convex Polytopes vs. Ellipsoids
We examine the Boltzmann/Gibbs/Shannon SBGS and the non-additive Havrda-Charvát/Daróczy/Cressie-Read/Tsallis Sq and the Kaniadakis κ-entropy Sκ from the viewpoint of coarse-graining, symplectic capacities and convexity. We argue that the functional form of such entropies can be ascribed to a discordance in phase-space coarse-graining between two generally different approaches: the Euclidean/Rie...
متن کاملCoarse graining
Multiscale simulations For nearly all systems of interest to us, the most transferrable and fundamental description of matter is one that invokes quantum mechanics. At the highest level of accuracy, this amounts to solving Schrodinger’s equation for all of the subatomic particles in a system. Computationally, many approximations need to be made in order to use ab initio methods, and even these ...
متن کاملVon Neumann and Shannon-wehrl Entropy for Squeezed States and Cosmological Particle Production Von Neumann and Shannon-wehrl Entropy for Squeezed States and Cosmological Particle Production
We show that the eeective coarse graining of a two-mode squeezed density matrix, implicit in the Wehrl approaches to a semiclassical phase-space distribution, leads to results in agreement with previous diierent deenitions of entropy for the process of pair production from the vacuum. We also present, in this context, a possible interpretation of the entropy growth as an ampliication (due to th...
متن کاملPredictive coarse-graining
Brute-force molecular dynamics simulations are limited by the exuberant number of degrees of freedom and the relatively small time-steps. As a result, only relatively small assemblies of molecules over small time spans are accessible with current and foreseeable computational capabilities. In order to overcome this limitation, coarse-grained models have been proposed which employ a much smaller...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Entropy
سال: 2017
ISSN: 1099-4300
DOI: 10.3390/e19050207