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We argue that the event-by-event fluctuation of the proton number is a meaningful and promising observable for the purpose of detecting the QCD critical end-point in heavy-ion collision experiments. The long range fluctuation of the order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Hatta , M. A. Stephanov

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

We argue that a crucial determinant of the acceptance dependence of fluctuation measures in heavy-ion collisions is the range of correlations in the momentum space, e.g., in rapidity, $\Delta y_{\rm corr}$. The value of $\Delta y_{\rm…

Nuclear Theory · Physics 2016-04-06 Bo Ling , Mikhail A. Stephanov

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

Statistics Theory · Mathematics 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

The crossing probability in the time direction is defined for an off-equilibrium reaction-diffusion system as the probability that the system of size L is still active at time t, in the finite-size scaling limit. Exact results are obtained…

Statistical Mechanics · Physics 2007-05-23 L. Turban

Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Lisa Glaser

The manifestation of exceptional points in the scattering continuum of atomic nucleus is studied using the real-energy continuum shell model. It is shown that low-energy exceptional points appear for realistic values of coupling to the…

Nuclear Theory · Physics 2009-11-25 J. Okołowicz , M. Płoszajczak

We study the quantum phase transition in the three-dimensional disordered itinerant antiferromagnet by Monte-Carlo simulations of the order-parameter field theory. We find strong evidence for the transition being controlled by an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rastko Sknepnek , Thomas Vojta

At a critical point of a second order phase transition the intrinsic energy surface is flat and there is no stable minimum value of the deformation. However, for a finite system, we show that there is an effective deformation which can…

Nuclear Theory · Physics 2009-11-10 A. Leviatan , J. N. Ginocchio

We predict that self-bound clusters of particles exist in the supercritical phase of simple fluids. These clusters, whose internal temperature is lower than the global temperature of the system, define a percolation line that starts at the…

Statistical Mechanics · Physics 2009-10-31 X. Campi , H. Krivine , N. Sator

The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the inequality (or variability) between the values of an order…

Statistical Mechanics · Physics 2024-01-30 Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti , Bikas K. Chakrabarti

A field theory of frictionless grain packings in two dimensions is shown to exhibit a zero-temperature critical point at a non-zero value of the packing fraction. The zero-temperature constraint of force-balance plays a crucial role in…

Statistical Mechanics · Physics 2013-05-29 Silke Henkes , Bulbul Chakraborty

The rate of metastable decay in nonequilibrium systems is expected to display scaling behavior: i.e., the logarithm of the decay rate should scale as a power of the distance to a bifurcation point where the metastable state disappears.…

Statistical Mechanics · Physics 2009-09-29 Oleg Kogan

The effects of a displacive structural phase transition on sliding friction are in principle accessible to nanoscale tools such as the Atomic Force Microscopy, yet they are still surprisingly unexplored. We present model simulations…

Materials Science · Physics 2015-05-28 Andrea Benassi , Andrea Vanossi , Giuseppe E. Santoro , Erio Tosatti

Multiparticle production at high energies is described in terms of color strings stretched between the projectile and target. As the string density increases, overlap in the transverse plane leads to cluster formation. At some critical…

Nuclear Experiment · Physics 2008-11-26 Terence Tarnowsky , Rolf Scharenberg , Brijesh Srivastava

Phase transition of strongly excited granular materials in 2D pipe is investigated numerically. By changing the ratio between width of the pipe and the height of the granular bed, we observe the transition between the 1 dimensional like…

Condensed Matter · Physics 2007-05-23 Akinori Awazu

The aim of the paper is to present numerical results supporting the presence of conformal invariance in three dimensional statistical mechanics models at criticality and to elucidate the geometric aspects of universality. As a case study we…

Statistical Mechanics · Physics 2015-10-05 G. Gori , A. Trombettoni

The low-temperature properties and crossover phenomena of $d$-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group…

Statistical Mechanics · Physics 2009-11-10 A. Caramico D'Auria , L. De Cesare , I. Rabuffo

We derive simple practical procedures revealing the quantum behavior of angular momentum variables by the violation of classical upper bounds on the statistics. Data analysis is minimum and definite conclusions are obtained without…

Quantum Physics · Physics 2011-12-06 Alfredo Luis , Ángel Rivas

A classical scenario for tipping is that a dynamical system experiences a slow parameter drift across a fold tipping point, caused by a run-away positive feedback loop. We study what happens if one turns around after one has crossed the…

Dynamical Systems · Mathematics 2019-01-21 Paul Ritchie , Ozkan Karabacak , Jan Sieber