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In this talk I discuss three main topics concerning the theoretical description and observable signatures of possible phase transitions in nuclear collisions. The first one is related to the multifragmentation of thermalized sources and its…

Nuclear Theory · Physics 2010-12-13 I. N. Mishustin

We include in statistical model calculations the facts that in the nuclear multifragmentation process the fragments are produced within a given volume and have a finite size. The corrections associated with these constraints affect the…

Nuclear Theory · Physics 2008-11-26 S. R. Souza , R. Donangelo , W. G. Lynch , M. B. Tsang

Natural languages are full of rules and exceptions. One of the most famous quantitative rules is Zipf's law which states that the frequency of occurrence of a word is approximately inversely proportional to its rank. Though this `law' of…

Computation and Language · Computer Science 2015-05-27 Jake Ryland Williams , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

The strong coupling limit (beta_gauge = 0) of QCD offers a number of remarkable research possibilities, of course at the price of large lattice artifacts. Here, we determine the complete phase diagram as a function of temperature T and…

High Energy Physics - Lattice · Physics 2010-11-05 Michael Fromm , Philippe de Forcrand

A fundamental question of physics is what ultimately happens to matter as it is heated or compressed. In the realm of very high temperature and density the fundamental degrees of freedom of the strong interaction, quarks and gluons, come…

High Energy Physics - Phenomenology · Physics 2009-07-28 P. Braun-Munzinger , J. Wambach

Infinite nuclear matter is studied by resuming the series of ladder diagrams based on the results developed by us in Ann. Phys. 437, 168741 (2022). The master formula for the energy density is explicitly solved for the case of contact…

Nuclear Theory · Physics 2023-05-10 J. M. Alarcón , J. A. Oller

Zipf's law, which states that the probability of an observation is inversely proportional to its rank, has been observed in many domains. While there are models that explain Zipf's law in each of them, those explanations are typically…

Neurons and Cognition · Quantitative Biology 2016-07-06 Laurence Aitchison , Nicola Corradi , Peter E. Latham

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way,…

Physics and Society · Physics 2015-07-14 Alvaro Corral , Gemma Boleda , Ramon Ferrer-i-Cancho

Signatures of critical behaviour in nuclear fragmentation are often based on arguments from percolation theory. We demonstrate with general thermodynamic considerations and studies of the Ising model that the reliance on percolation as a…

Nuclear Experiment · Physics 2007-05-23 W. F. J. Mueller , ALADIN collaboration

Background: Zipf's law and Heaps' law are observed in disparate complex systems. Of particular interests, these two laws often appear together. Many theoretical models and analyses are performed to understand their co-occurrence in real…

Data Analysis, Statistics and Probability · Physics 2010-12-20 Linyuan Lu , Zi-Ke Zhang , Tao Zhou

Within a quantum molecular dynamics model we calculate the largest Lyapunov exponent (LLE), density fluctuation and mass distribution of fragments for a series of nuclear systems at different initial temperatures. It is found that the $LLE$…

Nuclear Theory · Physics 2009-11-10 Yingxun Zhang , Xizhen Wu , Zhuxia Li

Multiplicity fluctuations of intermediate-mass fragments are studied with the percolation model. It is shown that super-Poissonian fluctuations occur near the percolation transition and that this behavior is associated with the…

Nuclear Theory · Physics 2009-10-31 Tarek Gharib , Wolfgang Bauer , Scott Pratt

Zipf's law is shown to arise as the variational solution of a problem formulated in Fisher's terms. An appropriate minimization process involving Fisher information and scale-invariance yields this universal rank distribution. As an example…

Physics and Society · Physics 2015-05-13 A. Hernando , D. Puigdomenech , D. Villuendas , C. Vesperinas , A. Plastino

It is shown that the distribution of low variability periods in the activity of human heart rate typically follows a multi-scaling Zipf's law. The presence or failure of a power law, as well as the values of the scaling exponents, are…

Medical Physics · Physics 2007-05-23 J. Kalda , M. Sakki , M. Vainu , M. Laan

The processes with three or more charged particles in the final state exhibit particular threshold behavior, as inferred by the famous Wannier law for (2e + ion) system. We formulate a general solution which determines the threshold…

Atomic Physics · Physics 2009-10-31 M. Yu. Kuchiev , V. N. Ostrovsky

The equation of state of nuclear matter suggests that at suitable beam energies the disassembling hot system formed in heavy ion collisions will pass through a liquid-gas coexistence region. Searching for the signatures of the phase…

Nuclear Theory · Physics 2007-05-23 S. Das Gupta , A. Z. Mekjian , M. B. Tsang

A percolation model of nuclear fragmentation is used to interpret 10.2 GeV/c p+197Au multi-fragmentation data. Emphasis is put on finding signatures of a continuous nuclear matter phase transition in finite nuclear systems. Based on model…

The joint probability distribution of many degrees of freedom in biological systems, such as firing patterns in neural networks or antibody sequence composition in zebrafish, often follow Zipf's law, where a power law is observed on a…

Neurons and Cognition · Quantitative Biology 2014-08-13 David J. Schwab , Ilya Nemenman , Pankaj Mehta

The hypothesis of limiting fragmentation (LF) or it is called otherwise recently, as extended longitudinal scaling, is an interesting phenomena in high energy multiparticle production process. This paper discusses about different regions of…

High Energy Physics - Phenomenology · Physics 2019-04-17 Pragati Sahoo , Pooja Pareek , Swatantra Kumar Tiwari , Raghunath Sahoo