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Any physical system considered to study the QCD deconfinement phase transition certainly has a finite volume, so the finite size effects are inevitably present. This renders the location of the phase transition and the determination of its…

High Energy Physics - Theory · Physics 2016-04-27 S. Cherif , M. A. A. Ahmed , M. Ladrem

We study the finite-size effects for the thermal QCD Deconfinement Phase Transition (DPT), and use a numerical finite size scaling analysis to extract the scaling exponents characterizing its scaling behavior when approaching the…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. Ladrem , A. Ait-El-Djoudi

We study the finite-size effects on the deconfinement phase transition (DPT) of hot and / or dense hadronic matter, using a simple thermodynamic model based on the assumption of coexistence of confined and deconfined phases in a finite…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Ladrem , A. Ait-El-Djoudi , G. Yezza

We study the finite size effects on the thermal deconfinement phase transition from the hadronic gas phase to the QGP phase, using a simple thermodynamic model based on the coexistence of confined and deconfined phases in a finite volume.…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Ladrem , A. Ait-El-Djoudi , G. Yezza

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 study the finite-temperature critical point of QCD in the heavy-quark region by a scaling study of the Binder cumulant on large lattices. Extending our previous study at $N_t=4$, we perform simulations on $N_t=6$ and 8 lattices with…

High Energy Physics - Lattice · Physics 2024-12-03 Kazuyuki Kanaya , Ryo Ashikawa , Shinji Ejiri , Masakiyo Kitazawa , Hiroto Sugawara

We explore the phase space spanned by the temperature and the chemical potential for 4-flavor lattice QCD using the Wilson-clover quark action. In order to determine the order of the phase transition, we apply finite size scaling analyses…

High Energy Physics - Lattice · Physics 2013-11-27 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

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

Theoretical considerations predict a specific hierarchy among ratios of net-baryon number cumulants ($\chi_n$, where $n$ is the order of cumulant) in the vicinity of the transition from the low-temperature hadronic phase to the high…

High Energy Physics - Lattice · Physics 2026-04-29 Rajiv V. Gavai , Bedangadas Mohanty , Jaydev Singh Rao , Swati Saha

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

The phase diagram of QCD at finite temperature and density and the existence of a critical point are currently very actively researched topics. Although tremendous progress has been made, in the case of two light quark flavors even the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bertram Klein , Jens Braun

We investigate the critical endpoint of finite temperature phase transition of $N_f=3$ QCD at zero chemical potential. We employ the renormalization-group improved Iwasaki gauge action and non-perturbatively $O(a)$-improved Wilson-clover…

High Energy Physics - Lattice · Physics 2015-06-23 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We study cumulants of the chiral order parameter as function of beam energy as a possible signal for the presence of a critical end point and first-order phase transition in the QCD phase diagram. We model the expansion of a heavy-ion…

High Energy Physics - Phenomenology · Physics 2022-04-21 Christoph Herold , Ayut Limphirat , Poramin Saikham , Marlene Nahrgang

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

In this thesis we investigate finite size effects in 1+1 dimensional integrable QFT. In particular we consider matrix elements of local operators (finite volume form factors) and vacuum expectation values and correlation functions at finite…

High Energy Physics - Theory · Physics 2009-07-27 Balázs Pozsgay

In this proceeding, we discuss the finite-size scaling analysis of the order parameter related to the chiral phase transition in QCD with two massless quarks. We use data obtained in lattice QCD calculations performed with highly improved…

High Energy Physics - Lattice · Physics 2026-04-01 Sabarnya Mitra , Jishnu Goswami , Frithjof Karsch

We explore the phase diagram spanned by the temperature and the chemical potential for 4-flavor QCD by the phase-reweighting approach. In order to determine the order of phase transition, we perform finite size scaling studies for various…

High Energy Physics - Lattice · Physics 2012-11-13 Shinji Takeda , Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Akira Ukawa

We have calculated the large-q expansion for the energy cumulants at the phase transition point in the two-dimensional q-state Potts model to the 23rd order in $1/\sqrt{q}$ using the finite lattice method. The obtained series allow us to…

High Energy Physics - Lattice · Physics 2007-05-23 H. Arisue , K. Tabata

In a progress toward searching for the QCD critical point, we study the finite density phase transition of $N_f = 4$ and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method…

High Energy Physics - Lattice · Physics 2010-10-04 Anyi Li , Andrei Alexandru , Keh-Fei Liu , Xiangfei Meng

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
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