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Microcanonical thermodynamics (MT) is analysed for phase transitions of first and second order in finite systems. The transiton temperature, the latent heat and the surface tension of first order transitions can easily be determined by MT…

Nuclear Theory · Physics 2007-05-23 D. H. E. Gross

Materials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phase configurations, a renormalized Hamiltonian is derived…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 V. I. Yukalov , E. P. Yukalova

The cluster distributions of different systems are examined to search for signatures of a continuous phase transition. In a system known to possess such a phase transition, both sensitive and insensitive signatures are present; while in…

Nuclear Experiment · Physics 2009-10-31 J. B. Elliott , the EOS Collaboration

The properties of the first-order phase transition in a set of plasma models with common feature - absence of individual correlations between charges of op-posite sign, have been studied. Predicted discontinuities in equilibrium non-uniform…

Plasma Physics · Physics 2007-05-23 Igor L. Iosilevski , Alexander Yu. Chigvintsev

We study a random matrix model for the statistical properties of the purity of a bipartite quantum system at a finite (fictitious) temperature. This enables us to write the generating function for the cumulants, for both balanced and…

Quantum Physics · Physics 2010-01-30 P. Facchi , U. Marzolino , G. Parisi , S. Pascazio , A. Scardicchio

Recent years have witnessed a growing interest in using machine learning to predict and identify phase transitions in various systems. Here we adopt convolutional neural networks (CNNs) to study the phase transitions of Vicsek model,…

Biological Physics · Physics 2023-06-27 Tingting Xue , Xu Li , Xiaosong Chen , Li Chen , Zhangang Han

Possibility of structured mixed phases at first order phase transitions is examined with taking into account of charge screening and surface effects. Hadron-quark phase transition in dense neutron star interior is considered, as concrete…

Nuclear Theory · Physics 2015-06-26 D. N. Voskresensky , M. Yasuhira , T. Tatsumi

We consider a soluble model of multifragmentation which is similar in spirit to many models which have been used to fit intermediate energy heavy ion collision data. We draw a p-V diagram for the model and compare with a p-V diagram…

Nuclear Theory · Physics 2009-11-07 C. B. Das , S. Das Gupta , A. Z. Mekjian

Here we present two explicit counterexamples to the widely spread beliefs about an exclusive role of bimodality as the first order phase transition signal. On the basis of an exactly solvable statistical model generalizing the statistical…

Nuclear Theory · Physics 2015-06-16 K. A. Bugaev , A. I. Ivanytskyi , V. V. Sagun , D. R. Oliinychenko

The detection of phase transitions is a fundamental challenge in condensed matter physics, traditionally addressed through analytical methods and direct numerical simulations. In recent years, machine learning techniques have emerged as…

Disordered Systems and Neural Networks · Physics 2025-01-14 Djenabou Bayo , Burak Çivitcioğlu , Joseph J Webb , Andreas Honecker , Rudolf A. Römer

We introduce a prime number generator in the form of a stochastic algorithm. The character of such algorithm gives rise to a continuous phase transition which distinguishes a phase where the algorithm is able to reduce the whole system of…

Computational Complexity · Computer Science 2009-11-13 Lucas Lacasa , Bartolo Luque , Octavio Miramontes

First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group…

Strongly Correlated Electrons · Physics 2007-05-23 R. Gersch , J. Reiss , C. Honerkamp

We present for the first time to the nuclear physics community the Hamiltonian Mean Field (HMF) model. The model can be solved analytically in the canonical ensemble and shows a second-order phase transition in the thermodynamic limit.…

Nuclear Theory · Physics 2009-11-06 V. Latora , A. Rapisarda

Merits and faults of the effective theory Random Phase Approximations are discussed in the perspective of its use in the prediction of neutrino-nucleus cross sections.

Nuclear Theory · Physics 2009-11-11 Giampaolo Co'

The significance of thermal fluctuations on nucleation in structural first-order phase transitions has been examined. The prototype case of martensitic transitions has been experimentally investigated by means of acoustic emission…

Materials Science · Physics 2016-08-31 Francisco J. Perez-Reche , Eduard Vives , Lluis Manosa , Antoni Planes

Here we propose the generalized statistical multifragmentation model which includes the liquid phase pressure of the most general form. This allows us to get rid of the absolute incompressibility of the nuclear liquid. Also the present…

Nuclear Theory · Physics 2011-06-30 K. A. Bugaev , A. I. Ivanytskyi , E. G. Nikonov , A. S. Sorin , G. M. Zinovjev

The role played by the heaviest fragment in partitions of multifragmenting hot nuclei is emphasized. Its size/charge distribution (mean value, fluctuations and shape) gives information on properties of fragmenting nuclei and on the…

In nuclear reactions induced by hadrons and ions of high energies, nuclei can disintegrate into many fragments during a short time (~100 fm/c). This phenomenon known as nuclear multifragmentation was under intensive investigation last 20…

Nuclear Theory · Physics 2008-06-25 A. S. Botvina

In the canonical formalism of statistical physics, a signature of a first order phase transition for finite systems is the bimodal distribution of an order parameter. Previous thermodynamical studies of nuclear sources produced in heavy-ion…

The process of phase separation of binary systems is described by the Cahn-Hilliard equation. The main objective of this article is to give a classification on the dynamic phase transitions for binary systems using either the classical…

Mathematical Physics · Physics 2009-03-12 Tian Ma , Shouhong Wang