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Giorgio Kaniadakis
Kaniadakis Giorgio ( el, Κανιαδάκης Γεώργιος; born on 5 June 1957 in Chania-Crete, Greece) a Greek-Italian physicist, is a Full Professor of Theoretical Physics at Politecnico di Torino (Italy) and is credited with introducing the concept oKaniadakis entropyand what is known as Kaniadakis statistics. He is in thWorld's Top 1% Scientists( Stanford University - Scopus Database), 2022. "Giorgio Kaniadakis has pioneered the surpassing of Boltzmann's Stosszahlansatz within special relativity and proposes a new entropy, emerging as the relativistic generalization of the Boltzmann entropy. Kaniadakis entropy generates power law-tailed distributions, which in the classical limit reduce to the Maxwell-Boltzmann exponential distribution" (From the Editorial by T. Biro of the volume Eur. Phys. J. A 40, N. 3, pp 255-256, 2009) Education In 1975 Giorgio Kaniadakis moved to Italy where he obtained the Bachelor's and Master's degrees in Nuclear Engineering in 1981 from ...
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Chania
Chania ( el, Χανιά ; vec, La Canea), also spelled Hania, is a city in Greece and the capital of the Chania regional unit. It lies along the north west coast of the island Crete, about west of Rethymno and west of Heraklion. The municipality has 108,642 inhabitants (2011). This consists of the city of Chania and several nearby areas, including Kounoupidiana (pop. 8,620), Mournies (pop. 7,614), Souda (pop. 6,418), Nerokouros (pop. 5,531), Daratsos (pop. 4,732), Perivolia (pop. 3,986), Galatas (pop. 3,166) and Aroni (pop. 3,003). History Early history Chania is the site of the Minoan settlement the Greeks called Kydonia, the source of the word quince. It appears on Linear B as ''ku-do-ni-ja''. Some notable archaeological evidence for the existence of this Minoan city below some parts of today's Chania was found by excavations in the district of Kasteli in the Old Town. This area appears to have been inhabited since the Neolithic era. The city reemerged after ...
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Physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics ...
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Kaniadakis Distribution
In statistics, a Kaniadakis distribution (also known as κ-distribution) is a statistical distribution that emerges from the Kaniadakis statistics. There are several families of Kaniadakis distributions related to different constraints used in the maximization of the Kaniadakis entropy, such as the κ-Exponential distribution, κ-Gaussian distribution, Kaniadakis κ-Gamma distribution and κ-Weibull distribution. The κ-distributions have been applied for modeling a vast phenomenology of experimental statistical distributions in natural or artificial complex systems, such as, in epidemiology, quantum statistics, in astrophysics and cosmology, in geophysics, in economy, in machine learning. The κ-distributions are written as function of the κ-deformed exponential, taking the form : f_i=\exp_(-\beta E_i+\beta \mu) enables the power-law description of complex systems following the consistent κ-generalized statistical theory., where \exp_(x)=(\sqrt+\kappa x)^ is the Kani ...
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Boltzmann Statistics
Ludwig Eduard Boltzmann (; 20 February 1844 – 5 September 1906) was an Austrian physicist and philosopher. His greatest achievements were the development of statistical mechanics, and the statistical explanation of the second law of thermodynamics. In 1877 he provided the current definition of entropy, S = k_ \ln \Omega \!, where Ω is the number of microstates whose energy equals the system's energy, interpreted as a measure of statistical disorder of a system. Max Planck named the constant the Boltzmann constant. Statistical mechanics is one of the pillars of modern physics. It describes how macroscopic observations (such as temperature and pressure) are related to microscopic parameters that fluctuate around an average. It connects thermodynamic quantities (such as heat capacity) to microscopic behavior, whereas, in classical thermodynamics, the only available option would be to measure and tabulate such quantities for various materials. Biography Childhood and educatio ...
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Proton
A proton is a stable subatomic particle, symbol , H+, or 1H+ with a positive electric charge of +1 ''e'' elementary charge. Its mass is slightly less than that of a neutron and 1,836 times the mass of an electron (the proton–electron mass ratio). Protons and neutrons, each with masses of approximately one atomic mass unit, are jointly referred to as "nucleons" (particles present in atomic nuclei). One or more protons are present in the Atomic nucleus, nucleus of every atom. They provide the attractive electrostatic central force which binds the atomic electrons. The number of protons in the nucleus is the defining property of an element, and is referred to as the atomic number (represented by the symbol ''Z''). Since each chemical element, element has a unique number of protons, each element has its own unique atomic number, which determines the number of atomic electrons and consequently the chemical characteristics of the element. The word ''proton'' is Greek language, G ...
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Relativistic Particle
A relativistic particle is a particle which moves with a relativistic speed; that is, a speed comparable to the speed of light. This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through Dirac equations of single particle motion. Massive particles are relativistic when their kinetic energy is comparable to or greater than the energy mc^2 corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass-energy (rest mass + kinetic energy) is at least twice its rest mass. This condition implies that the particle's speed is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are g ...
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Cosmic Ray
Cosmic rays are high-energy particles or clusters of particles (primarily represented by protons or atomic nuclei) that move through space at nearly the speed of light. They originate from the Sun, from outside of the Solar System in our own galaxy, and from distant galaxies. Upon impact with Earth's atmosphere, cosmic rays produce showers of secondary particles, some of which reach the surface, although the bulk is deflected off into space by the magnetosphere or the heliosphere. Cosmic rays were discovered by Victor Hess in 1912 in balloon experiments, for which he was awarded the 1936 Nobel Prize in Physics. Direct measurement of cosmic rays, especially at lower energies, has been possible since the launch of the first satellites in the late 1950s. Particle detectors similar to those used in nuclear and high-energy physics are used on satellites and space probes for research into cosmic rays. Data from the Fermi Space Telescope (2013) have been interpreted as evi ...
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Classical Physics
Classical physics is a group of physics theories that predate modern, more complete, or more widely applicable theories. If a currently accepted theory is considered to be modern, and its introduction represented a major paradigm shift, then the previous theories, or new theories based on the older paradigm, will often be referred to as belonging to the area of "classical physics". As such, the definition of a classical theory depends on context. Classical physical concepts are often used when modern theories are unnecessarily complex for a particular situation. Most often ''classical physics'' refers to pre-1900 physics, while ''modern physics'' refers to post-1900 physics which incorporates elements of quantum mechanics and relativity. Overview Classical theory has at least two distinct meanings in physics. In the context of quantum mechanics, classical theory refers to theories of physics that do not use the quantisation paradigm, which includes classical mechanics a ...
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Boltzmann's Entropy Formula
In statistical mechanics, Boltzmann's equation (also known as the Boltzmann–Planck equation) is a probability equation relating the entropy S, also written as S_\mathrm, of an ideal gas to the multiplicity (commonly denoted as \Omega or W), the number of real microstates corresponding to the gas's macrostate: where k_\mathrm B is the Boltzmann constant (also written as simply k) and equal to 1.380649 × 10−23 J/K, and \log is the natural logarithm function. In short, the Boltzmann formula shows the relationship between entropy and the number of ways the atoms or molecules of a certain kind of thermodynamic system can be arranged. History The equation was originally formulated by Ludwig Boltzmann between 1872 and 1875, but later put into its current form by Max Planck in about 1900. To quote Planck, "the logarithmic connection between entropy and probability was first stated by L. Boltzmann in his kinetic theory of gases". A 'microstate' is a state specified in t ...
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Planck-Einstein Relation
The Planck relationFrench & Taylor (1978), pp. 24, 55.Cohen-Tannoudji, Diu & Laloë (1973/1977), pp. 10–11. (referred to as Planck's energy–frequency relation,Schwinger (2001), p. 203. the Planck relation, Planck equation, and Planck formula, though the latter might also refer to Planck's law) is a fundamental equation in quantum mechanics which states that the energy of a photon, , known as photon energy, is proportional to its frequency, : E = h \nu The constant of proportionality, , is known as the Planck constant. Several equivalent forms of the relation exist, including in terms of angular frequency, : E = \hbar \omega where \hbar = h / 2 \pi. The relation accounts for the quantized nature of light and plays a key role in understanding phenomena such as the photoelectric effect and black-body radiation (where the related Planck postulate can be used to derive Planck's law). Spectral forms Light can be characterized using several spectral quantities, such as frequency ...
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Special Relativity
In physics, the special theory of relativity, or special relativity for short, is a scientific theory regarding the relationship between space and time. In Albert Einstein's original treatment, the theory is based on two postulates: # The laws of physics are invariant (that is, identical) in all inertial frames of reference (that is, frames of reference with no acceleration). # The speed of light in vacuum is the same for all observers, regardless of the motion of the light source or the observer. Origins and significance Special relativity was originally proposed by Albert Einstein in a paper published on 26 September 1905 titled "On the Electrodynamics of Moving Bodies".Albert Einstein (1905)''Zur Elektrodynamik bewegter Körper'', ''Annalen der Physik'' 17: 891; English translatioOn the Electrodynamics of Moving Bodiesby George Barker Jeffery and Wilfrid Perrett (1923); Another English translation On the Electrodynamics of Moving Bodies by Megh Nad Saha (1920). The ...
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Faculty (division)
A faculty is a division within a university or college comprising one subject area or a group of related subject areas, possibly also delimited by level (e.g. undergraduate). In American usage such divisions are generally referred to as colleges (e.g., "college of arts and sciences") or schools (e.g., "school of business"), but may also mix terminology (e.g., Harvard University has a "faculty of arts and sciences" but a "law school"). History The medieval University of Bologna, which served as a model for most of the later medieval universities in Europe, had four faculties: students began at the Faculty of Arts, graduates from which could then continue at the higher Faculties of Theology, Law, and Medicine. The privilege to establish these four faculties was usually part of medieval universities’ charters, but not every university could do so in practice. The ''Faculty of Arts'' took its name from the seven liberal arts: the triviumThe three of the humanities (grammar, ...
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