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Related papers: Finite-size effects and the search for the critica…

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We discuss how the finiteness of the system created in a heavy-ion collision affects possible signatures of the QCD critical endpoint. We show sizable results for the modifications of the chiral phase diagram at volume scales typically…

High Energy Physics - Phenomenology · Physics 2010-02-24 Leticia F. Palhares , Eduardo S. Fraga , Takeshi Kodama

We investigate finite-size effects on the chiral phase diagram of strong interactions within the linear sigma model coupled to quarks. We estimate the modification of the pseudocritical transition line and isentropic trajectories for sizes…

Nuclear Theory · Physics 2011-07-14 L. F. Palhares , E. S. Fraga , T. Kodama

Given the short lifetime and the reduced volume of the quark-gluon plasma (QGP) formed in high-energy heavy ion collisions, a possible critical endpoint (CEP) will be blurred in a region and the effects from criticality severely smoothened.…

High Energy Physics - Phenomenology · Physics 2011-08-11 Eduardo S. Fraga , Leticia F. Palhares , Paul Sorensen

It is argued that in relativistic heavy ion collisions, due to limited size of the formed matter, the reliable criterion of critical point is finite-size scaling, rather than non-monotonous behavior of observable. How to locate critical…

Nuclear Theory · Physics 2009-04-08 Chen Lizhu , X. S. Chen , Wu Yuanfang

It is pointed out that finite-size effect is not negligible in locating critical point of QCD phase transition at current relativistic heavy ion collisions. Finite-size behavior near critical point, in particular, finite-size scaling and…

Nuclear Theory · Physics 2013-11-20 Chen Lizhu , Yunyun Chen , Wu Yuanfang

Finite-size scaling (FSS) is applied to net-baryon cumulant ratios $C_2/C_1$, $C_3/C_2$, $C_4/C_2$, $C_3/C_1$, and $C_4/C_1$ measured in Au+Au collisions over the Beam Energy Scan Phase~I range $\sqrt{s_{NN}}=7.7$--$200$~GeV to constrain…

Nuclear Experiment · Physics 2026-03-31 Roy A. Lacey

Finite-size scaling (FSS) provides a framework for investigating the possible presence of a critical end point (CEP) in the QCD phase diagram using fluctuation observables measured in relativistic heavy-ion collisions. A recent analysis…

Nuclear Theory · Physics 2026-03-31 Roy A. Lacey

The effect of a finite volume presents itself both in heavy ion experiments as well as in recent model calculations. The magnitude is sensitive to the proximity of a nearby critical point. We calculate the finite volume effects at finite…

High Energy Physics - Lattice · Physics 2024-01-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pásztor , Chik Him Wong

We investigate the impact of finite volume and the corresponding restrictions on long-range correlations on the location of the critical endpoint in the QCD phase diagram. To this end, we employ a sophisticated combination of lattice…

High Energy Physics - Phenomenology · Physics 2021-11-01 Julian Bernhardt , Christian S. Fischer , Philipp Isserstedt , Bernd-Jochen Schaefer

The search for the QCD critical end point (CEP) is a major objective of contemporary heavy-ion physics, motivating the study of fluctuation observables that are sensitive to critical dynamics. In particular, baryon-number fluctuations…

High Energy Physics - Phenomenology · Physics 2026-03-18 Athanasios Brofas , Fotios K. Diakonos

Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed…

High Energy Physics - Lattice · Physics 2022-01-05 Atsushi Kiyohara , Masakiyo Kitazawa , Shinji Ejiri , Kazuyuki Kanaya

We study the effect of a partially thermalized scenario for chiral symmetry restoration at finite temperature and quark chemical potential, and in particular for the position of the critical end point in an effective description of the QCD…

High Energy Physics - Phenomenology · Physics 2018-12-19 Alejandro Ayala , Martin Hentschinski , Luis Alberto Hernandez , Marcelo Loewe , Renato Zamora

The QCD phase diagram may feature a critical end point at a temperature T and baryon chemical potential $\mu$ which is accessible in heavy ion collisions. The universal long wavelength fluctuations which develop near this Ising critical…

High Energy Physics - Phenomenology · Physics 2009-10-31 Boris Berdnikov , Krishna Rajagopal

We analyze thermodynamic models for fluid systems in equilibrium based on a virial expansion of the internal energy in terms of the volume density. We prove that the models, formulated for finite-size systems with $N$ particles, are exactly…

Statistical Mechanics · Physics 2026-04-21 Xin An , Francesco Giglio , Giulio Landolfi

We briefly discuss the status of the signatures of the QCD critical endpoint in heavy-ion collisions concentrating on the role played by the finiteness of the medium created in such experiments.

High Energy Physics - Phenomenology · Physics 2015-03-19 L. F. Palhares , E. S. Fraga

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

We discuss the finite-size effects on the chiral phase transition in QCD. We employ the Nambu-Jona-Lasinio model and calculate the thermodynamic potential in the mean-field approximation. Finite-size effects on the thermodynamic potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Kiriyama , T. Kodama , T. Koide

Within the framework of Dyson-Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in…

High Energy Physics - Phenomenology · Physics 2018-12-03 Bo-Lin Li , Zhu-Fang Cui , Bo-Wen Zhou , Sun An , Li-Ping Zhang , Hong-Shi Zong

I present our recent results on the critical end point in the \mu_B-T phase diagram of QCD with two flavours of light dynamical quarks and compare them with similar results from other groups. Implications for a possible energy scan at the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Rajiv V. Gavai

For small volume of the quark-gluon plasma formed in heavy ion collisions, the observable near criticality must obey finite-size scaling. According to the finite-size scaling, there exists a fixed point at the critical temperature, where…

High Energy Physics - Phenomenology · Physics 2018-11-30 Yan-Hua Zhang , Xue Pan , Li-Zhu Chen , Ming-Mei Xu , Zhi-Ming Li , Ye-Yin Zhao , Yuan-Fang Wu
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