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This work surveys the topological and statistical properties of real quadratic maps and investigates the complex quadratic maps under holomorphic and non-holomorphic singular perturbations.

动力系统 · 数学 2026-01-19 Haitao Shang

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

凝聚态物理 · 物理学 2009-11-10 Matthias Vojta

We have investigated the phase transition of the gas-liquid type, with an upper critical point, in a variant of the One Component Plasma model (OCP) that has a uniform but compressible compensating background. We have calculated the…

等离子体物理 · 物理学 2009-03-27 Igor Iosilevskiy

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

高能物理 - 理论 · 物理学 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We study phase transitions for the topological pressure of geometric potentials of transitive sets. The sets considered are partially hyperbolic having a step skew product dynamics over a horseshoe with one-dimensional fibers corresponding…

动力系统 · 数学 2015-06-15 L. J. Díaz , K. Gelfert , M. Rams

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase…

广义相对论与量子宇宙学 · 物理学 2011-01-13 Rabin Banerjee , Sujoy Kumar Modak , Saurav Samanta

The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the Riemannian geometrization of Hamiltonian dynamics, has led to a preliminary formulation of a differential-topological theory of phase…

统计力学 · 物理学 2022-08-19 Matteo Gori , Roberto Franzosi , Giulio Pettini , Marco Pettini

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

统计力学 · 物理学 2021-09-15 Alpar Turkoglu , A. Nihat Berker

This is an introduction to the use of nonperturbative flow equations in strong interaction physics at nonzero temperature and baryon density. We investigate the QCD phase diagram as a function of temperature, chemical potential for baryon…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Berges

We present data indicating that the recent evidence for the phase transition being of first order does not result from a breakdown of the ergodicity of the algorithm. We also present data showing that the thermodynamical limit of the model…

高能物理 - 格点 · 物理学 2009-10-28 S. Bilke , Z. Burda , A. Krzywicki , B. Petersson

Phase transitions are ubiquitous across life, yet hard to quantify and describe accurately. In this work, we develop an approach for characterizing generic attributes of phase transitions from very limited observations made deep within…

统计力学 · 物理学 2023-08-30 Lukas Herron , Kinjal Mondal , John S. Schneekloth , Pratyush Tiwary

We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

统计力学 · 物理学 2010-10-28 Jacek Dziarmaga , Marek M. Rams

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

统计力学 · 物理学 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

Experimental nuclear level densities at excitation energies below the neutron threshold follow closely a constant-temperature shape. This dependence is unexpected and poorly understood. In this work, a fundamental explanation of the…

核理论 · 物理学 2015-10-06 L. G. Moretto , A. C. Larsen , F. Giacoppo , M. Guttormsen , S. Siem , A. V. Voinov

In the framework of a recently proposed topological approach to phase transitions, some sufficient conditions ensuring the presence of the spontaneous breaking of a Z_2 symmetry and of a symmetry-breaking phase transition are introduced and…

统计力学 · 物理学 2007-05-23 Fabrizio Baroni , Lapo Casetti

The crossing of a transition state in a multidimensional reactive system is mediated by invariant geometric objects in phase space: An invariant hyper-sphere that represents the transition state itself and invariant hyper-cylinders that…

混沌动力学 · 物理学 2013-04-29 Ali Allahem , Thomas Bartsch

The early-time critical dynamics of continuous, Ising-like phase transitions is studied numerically for two-dimensional lattices of coupled chaotic maps. Emphasis is laid on obtaining accurate estimates of the dynamic critical exponents…

adap-org · 物理学 2009-10-30 Philippe Marcq , Hugues Chate

A survey is given of recent QCD theory advances concerning the phase diagram, in particular the indications for a critical point and adjacent first order phase transition at high baryo-chemical potential, and the new ideas concerning a…

核实验 · 物理学 2014-11-20 Reinhard Stock

Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space--time--mixing attractor becomes unstable at a critical coupling strength in favour of a…

chao-dyn · 物理学 2016-08-14 Wolfram Just

We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical…

统计力学 · 物理学 2010-10-14 Yael S. Elmatad , Robert L. Jack , Juan P. Garrahan , David Chandler