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This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

Threshold effects in the estimation of parameters of non-linearly modulated, continuous-time, wide-band waveforms, are examined from a statistical physics perspective. These threshold effects are shown to be analogous to phase transitions…

Information Theory · Computer Science 2010-05-21 Neri Merhav

The paper is devoted to retrieval of the first order phase transition signal in the inelastic collisions. The primary intent is to show that the experimentally observable signal exist iff the multiplicity is sufficiently large. We discuss…

High Energy Physics - Phenomenology · Physics 2008-07-17 J. Manjavidze

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

Critical transitions, or large changes in the state of a system after a small change in the system's external conditions or parameters, commonly occur in a wide variety of disciplines, from the biological and social sciences to physics.…

Statistical Mechanics · Physics 2021-10-26 George I. Hagstrom , Simon A. Levin

This paper presents an in-depth analysis of the anatomy of both thermodynamics and statistical mechanics, together with the relationships between their constituent parts. Based on this analysis, using the renormalization group and…

Statistical Mechanics · Physics 2023-02-22 David A. Lavis , Reimer Kuehn , Roman Frigg

In this talk we will review the different signals of liquid gas phase transition in nuclei. From the theoretical side we will first discuss the foundations of the concept of equilibrium, phase transition and critical behaviors in infinite…

Nuclear Experiment · Physics 2007-05-23 Ph. Chomaz

The goal of heavy ion reactions at low beam energies is to explore the QCD phase diagram at high net baryon chemical potential. To relate experimental observations with a first order phase transition or a critical endpoint, dynamical…

Nuclear Theory · Physics 2018-03-14 H. Petersen

We discuss the implications of finite size effects on the determination of the order of a phase transition which may occur in infinite systems. We introduce a specific model to which we apply different tests. They are aimed to characterise…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , N. Michel , J. Richert , P. Wagner

Dynamical equations that are valid in the vicinity of the phase transition into the superconducting state are given. Probable effects of the field of charge carriers' magnetic interactions and the field of temperature fluctuations were…

Superconductivity · Physics 2023-12-05 L. A. Gosteva , M. Yu. Nalimov , A. S. Iashugin

This paper is devoted to study thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function…

Dynamical Systems · Mathematics 2015-06-04 Godofredo Iommi , Thomas Jordan

The primary intent is to show that the signal of first order phase transition may be observed at experiment if and only if the multiplicity is sufficiently large. We discuss corresponding phenomenology from the point of view of experiment.

High Energy Physics - Phenomenology · Physics 2009-05-22 J. Manjavidze

A selected set of topics in quantum phase transition is discussed. It includes dissipative quantum phase transitions, the role of disorder, and the relevance of quantum phase transition to measurement theory in quantum mechanics.

Strongly Correlated Electrons · Physics 2015-03-13 Sudip Chakravarty

We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.

Probability · Mathematics 2009-10-31 Russell Lyons

We review recent theoretical developments relevant to heavy-ion experiments carried out within the Beam Energy Scan program at the Relativistic Heavy Ion Collider. Our main focus is on the description of the dynamics of systems created in…

Nuclear Theory · Physics 2024-08-23 Lipei Du , Agnieszka Sorensen , Mikhail Stephanov

Signs of the different contributions to the isotope shift of an atomic line are discussed in details to clarify some confusing differences between the electronic parameters calculated with RIS (Naz\'e et al. Comput. Phys. Commun. 184 (2013)…

Atomic Physics · Physics 2024-09-02 Michel Godefroid , Jörgen Ekman , Per Jönsson

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

Machine Learning · Computer Science 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

Analysis of PDEs · Mathematics 2019-08-06 Eric Forgoston , Richard O. Moore

Finite systems such as atomic nuclei present at phase transition specific features different from those observed at the thermodynamic limit. Several characteristic signals were found in samples of events resulting from heavy ion collisions…

In this review, we systematically examine the principles and the practices of fluctuations such as the momentum and the charge fluctuations as applied to the heavy ion collisions. Main emphases are: (i) Fluctuations as signals of phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sangyong Jeon , Volker Koch
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