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The relativistic Hartree-BCS theory is applied to study the temperature dependence of nuclear shape and pairing gap for $^{166}Er$ and $^{170}Er$. For both the nuclei, we find that as temperature increases the pairing gap vanishes leading…

Nuclear Theory · Physics 2009-11-06 B. K. Agrawal , Tapas Sil , J. N. De , S. K. Samaddar

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

Quantum Physics · Physics 2025-01-31 Hongchao Li

We comment on the Lee-Yang zero analysis for the study of the phase structure of QCD at high temperature and baryon number density by Monte-Carlo simulations. We find that the sign problem for non-zero density QCD induces a serious problem…

High Energy Physics - Lattice · Physics 2014-11-17 Shinji Ejiri

We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which are verified for a large class of spin models in a…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

The phase transitions in a realistic system with triplet pairing, dense neutron matter, have been investigated. The spectrum of phases of the $^3P_2-^3F_2$ model, which adequately describes pairing in this system, is analytically…

Nuclear Theory · Physics 2008-11-26 V. A. Khodel , J. W. Clark , M. V. Zverev

We show that, at the critical temperature, there is a class of Lee-Yang zeros of the partition function in a general scalar field theory, which location scales with the size of the system with a characteristic exponent expressed in terms of…

High Energy Physics - Theory · Physics 2017-06-07 N. G. Antoniou , F. K. Diakonos , X. N. Maintas , C. E. Tsagkarakis

We discuss a numerical analysis employing the density of partition function zeroes which permits effective distinction between phase transitions of first and second order, elucidates crossover between such phase transitions and gives a new…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Ralph Kenna

We investigate superfluid phase transitions of asymmetric nuclear matter at finite temperature ($T$) and density ($\rho$) with a low proton fraction ($Y_{\rm p} \le 0.2$) which is relevant to the inner crust and outer core of neutron stars.…

Nuclear Theory · Physics 2020-01-10 Hiroyuki Tajima , Tetsuo Hatsuda , Pieter van Wyk , Yoji Ohashi

The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this…

Superconductivity · Physics 2007-08-07 A. Toschi , P. Barone , M. Capone , C. Castellani

A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase…

Statistical Mechanics · Physics 2009-11-07 Wolfhard Janke , Ralph Kenna

We argue that the large N strong/weak phase transition is a generic phenomenon in a finite temperature supersymmetric Yang-Mills theory of maximal supersymmetry. ${\cal N}=4$, D=4 SYM is the canonical example, where we also argue that the…

High Energy Physics - Theory · Physics 2007-05-23 Yi-hong Gao , Miao Li

We explore the distribution of Lee-Yang zeros around the critical point that appears in the heavy-quark region of QCD at nonzero temperature in lattice numerical simulations. With the aid of the hopping-parameter expansion that is well…

High Energy Physics - Phenomenology · Physics 2025-03-31 Masakiyo Kitazawa , Tatsuya Wada , Kazuyuki Kanaya

We show that one can employ well-established numerical continuation methods to efficiently calculate the phase diagram for thermodynamic systems. In particular, this involves the determination of lines of phase coexistence related to first…

Soft Condensed Matter · Physics 2021-01-22 Max Philipp Holl , Andrew J. Archer , Uwe Thiele

Statistical physics provides the concepts and methods to explain the phase behavior of interacting many-body systems. Investigations of Lee-Yang zeros --- complex singularities of the free energy in systems of finite size --- have led to a…

Mesoscale and Nanoscale Physics · Physics 2017-05-08 Kay Brandner , Ville F. Maisi , Jukka P. Pekola , Juan P. Garrahan , Christian Flindt

Since the landmark work of Lee and Yang, locating the zeros of the partition function in the complex magnetic-field plane has become a powerful method for studying phase transitions. Fisher later extended this approach to complex…

Statistical Mechanics · Physics 2025-10-21 Leïla Moueddene , Nikolaos G Fytas , Bertrand Berche

The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\times L$ square lattice are evaluated from the exact grand partition functions ($L=3\sim16$). The properties of the density of Yang-Lee zeros are discussed as a function of…

Statistical Mechanics · Physics 2009-11-11 Seung-Yeon Kim

In the study of phase transitions a very few models are accessible to exact solution. In the most cases analytical simplifications have to be done or some numerical technique has to be used to get insight about their critical properties.…

Statistical Mechanics · Physics 2017-05-24 B. V. Costa , L. A. S. Mól , J. C. S. Rocha

A systematic study of the temperature dependence of the shapes and pairing gaps of some isotopes in the rare-earth region is made in the relativistic Hartree-BCS theory. Thermal response to these nuclei is always found to lead to a phase…

Nuclear Theory · Physics 2009-11-06 B. K. Agrawal , Tapas Sil , S. K. Samaddar , J. N. De

In efforts to determine phase transitions in the disintegration of highly excited heavy nuclei, a popular practice is to parametrise the yields of isotopes as a function of temperature in the form $Y(z)=z^{-\tau}f(z^{\sigma}(T-T_0))$, where…

Hot dense helium is studied with first-principles computer simulations. By combining path integral Monte Carlo and density functional molecular dynamics, a large temperature and density interval ranging from 1000 to 1000000 K and 0.4 to 5.4…

Materials Science · Physics 2015-05-13 Burkhard Militzer