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The wave instability acts in astrophysical plasmas to redistribute energy and momentum in the absence of frequent collisions. There are many different types of waves, and it is important to quantify the wave energy density and growth rate…

空间物理 · 物理学 2023-04-05 Seong-Yeop Jeong , Clare Watt

The Shannon entropy, one of the cornerstones of information theory, is widely used in physics, particularly in statistical mechanics. Yet its characterization and connection to physics remain vague, leaving ample room for misconceptions and…

统计力学 · 物理学 2021-07-28 Gabriele Carcassi , Christine A. Aidala , Julian Barbour

We study 1D Hamilton systems with homogeneous power law potential and their statistical behaviour, assuming the microcanonical distribution of the initial conditions and describing its change under monotonically increasing time-dependent…

混沌动力学 · 物理学 2015-06-19 Dimitris Andresas , Marko Robnik

Common misconceptions on the Heisenberg principle are reviewed, and the original spirit of the principle is reestablished in terms of the trade-off between information retrieved by a measurement and disturbance on the measured system. After…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano

A message of any sort can be regarded as a source of information. Claude. E. Shannon showed in the last century that information ("what we don't already know") is equivalent to the entropy as defined in statistical mechanics. A string of…

流体动力学 · 物理学 2016-09-05 W. I. Goldburg , R. T. Cerbus

We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous reference can be uniquely determined by (single-)scattered…

偏微分方程分析 · 数学 2026-05-01 Matti Lassas , Shiqi Ma , Lauri Oksanen , Mikko Salo , Jian Zhai

We examine the stability of hadron resonance gas models by extending them to take care of undiscovered resonances through the Hagedorn formula. We find that the influence of unknown resonances on thermodynamics is large but bounded. Hadron…

高能物理 - 唯象学 · 物理学 2010-04-29 S. Chatterjee , R. M. Godbole , Sourendu Gupta

An important issue during an engineering design process is to develop an understanding which design parameters have the most influence on the performance. Especially in the context of optimization approaches this knowledge is crucial in…

信息论 · 计算机科学 2024-10-28 Patricia Wollstadt , Sebastian Schmitt

Information and uncertainty are closely related and extensively studied concepts in a number of scientific disciplines such as communication theory, probability theory, and statistics. Increasing the information arguably reduces the…

概率论 · 数学 2011-08-09 Jiahua Chen

A stochastic nonlinear dynamical system generates information, as measured by its entropy rate. Some---the ephemeral information---is dissipated and some---the bound information---is actively stored and so affects future behavior. We derive…

统计力学 · 物理学 2015-06-19 Sarah Marzen , James P. Crutchfield

We have reviewed recent developments of the theory of the impact for macroscopic elastic materials. This review includes (i) standard theories for the normal impact and the oblique impact, (ii) some typical approaches to simulate impact…

统计力学 · 物理学 2007-05-23 Hisao Hayakawa , Hiroto Kuninaka

The proton-proton and proton-antiproton inelasticity profiles in the impact parameter display very interesting and sensitive features which cannot be deduced solely from the current large body of high-energy scattering data. In particular,…

高能物理 - 唯象学 · 物理学 2018-10-24 Wojciech Broniowski , László Jenkovszky , Enrique Ruiz Arriola , István Szanyi

How much information is added to the Review of Particle Physics when a new decay branching ratio of a hadron is measured and reported? This is quantifiable by Shannon's information entropy $S(i) =-\sum_{f}BR_{(i\longrightarrow f)}\log…

Time-arrow $s=+/-$, intrinsic to a concrete physical system, is associated with the direction of information loss $\Delta I$ displayed by the random evolution of the given system. When the information loss tends to zero the intrinsic…

量子物理 · 物理学 2015-06-26 Lajos Diosi

We comment on the problem of energy translation invariance of probability distribution and present some observations. It is shown that a probability distribution can be invariant in the thermodynamic limit if there is no long term…

统计力学 · 物理学 2007-05-23 Q. A. Wang , L. Nivanen , M. Pezeril , A. Le Mehaute

This dissertation examines the phenomenology of statistical hadronization at ultrarelativistic energies. We start with an overview of current experimental and theoretical issues in Relativistic heavy ion physics. We then introduce…

核理论 · 物理学 2009-09-29 Giorgio Torrieri

Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…

Nonlinear elastic theory studies the elastic constants of a material (such as Young's modulus or bulk modulus) as a power series in the applied load. The inverse bulk modulus K, for example depends on the compression P: $ {1/ K(P)} = c_0 +…

凝聚态物理 · 物理学 2009-10-28 Alex Buchel , James P. Sethna

We describe how to analyze the wide class of non stationary processes with stationary centered increments using Shannon information theory. To do so, we use a practical viewpoint and define ersatz quantities from time-averaged probability…

信息论 · 计算机科学 2020-02-19 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas Garnier

We carry out a systematic study of uncertainty measures that are generic to dynamical processes of varied origins, provided they induce suitable continuous probability distributions. The major technical tool are the information theory…

统计力学 · 物理学 2009-11-13 Piotr Garbaczewski
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