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We discuss the quantum statistical fluctuations of energy in subsystems of hot relativistic gas for both spin-zero and spin half particles. We explicitly show the system size dependence of the quantum statistical fluctuation of energy. Our…

Nuclear Theory · Physics 2022-06-15 Arpan Das

We investigate the impact of dissipation on the energy balance in the electron dynamics of metal clusters excited by strong electro-magnetic pulses. The dynamics is described theoretically by Time-Dependent Density-Functional Theory (TDDFT)…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 M. Vincedon , E. Suraud , P. -G. Reinhard

We introduce axiomatically a complete thermodynamic formalism for a single macromolecule, either with or without detailed balance, in an isothermal ambient fluid based on its stochastic dynamics. With detailed balance, the novel theory…

Statistical Mechanics · Physics 2007-05-23 Hong Qian

In systems driven away from equilibrium, the velocity correlation function and the linear response function to a small perturbation force do not satisfy the fluctuation-response relation (FRR) due to the lack of detailed balance in contrast…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Shin-ichi Sasa

In this article, we study an interacting particle system in the context of epidemiology where the individuals (particles) are characterized by their position and infection state. We begin with a description at the microscopic level where…

Probability · Mathematics 2022-12-06 Maxime Hauray , Etienne Pardoux , Yen V. Vuong

We investigate the convergence of quasi-particle energies for periodic systems to the thermodynamic limit using increasingly large simulation cells corresponding to increasingly dense integration meshes in reciprocal space. The…

The fluctuation-dissipation mechanism underlying non-equilibrium transport in low-energy heavy-ion reactions remains unclear. Although the time-dependent Hartree-Fock (TDHF) method provides a reasonable description of average reaction…

Nuclear Theory · Physics 2025-07-02 Zepeng Gao , Kazuyuki Sekizawa , Long Zhu

We derive generalized Fluctuation-Dissipation Relations (FDR) holding for a general stochastic dynamics that includes as subcases both equilibrium models for passive colloids and non-equilibrium models used to describe active particles. The…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini

It is demonstrated using Monte Carlo simulation that in different nucleus$-$nucleus collision samples, the increase of the fluctuation of event factorial moments with decreasing phase space scale, called erraticity, is still dominated by…

High Energy Physics - Phenomenology · Physics 2009-11-07 Liu Fuming , Liao Hongbo , Liu Ming , Liu Feng , Liu Lianshou

We study fluctuation properties of embedded random matrix ensembles of non-interacting particles. For ensemble of two non-interacting particle systems, we find that unlike the spectra of classical random matrices, correlation functions are…

Mathematical Physics · Physics 2016-06-01 Ravi Prakash , Akhilesh Pandey

We consider a periodic Riesz gas consisting of $N$ classical particles on a circle, interacting via a two-body repulsive potential which behaves locally as a power law of the distance, $\sim g/|x|^s$ for $s>-1$. Long range (LR) interactions…

Statistical Mechanics · Physics 2025-08-04 Leo Touzo , Pierre Le Doussal , Gregory Schehr

The Boltzmann distribution for an equilibrium system constrains the statistics of the system by the energetics. Despite the non-equilibrium generalization of the Boltzmann distribution being studied extensively, a unified framework valid…

Statistical Mechanics · Physics 2025-11-05 Atul Tanaji Mohite , Heiko Rieger

Measurements of multiplicity and transverse momentum fluctuations of charged particles were performed in inelastic p+p interactions at 20, 31, 40, 80 and 158 GeV/c beam momentum. Results for the scaled variance of the multiplicity…

High Energy Physics - Experiment · Physics 2016-12-01 SHINE Collaboration , A. Aduszkiewicz , Y. Ali , E. Andronov , T. Anticic , N. Antoniou , B. Baatar , F. Bay , A. Blondel , J. Blumer , M. Bogomilov , A. Bravar , J. Brzychczyk , S. A. Bunyatov , O. Busygina , P. Christakoglou , M. Cirkovic , T. Czopowicz , N. Davis , S. Debieux , H. Dembinski , M. Deveaux , F. Diakonos , S. Di Luise , W. Dominik , J. Dumarchez , K. Dynowski , R. Engel , A. Ereditato , G. A. Feofilov , Z. Fodor , A. Garibov , M. Gazdzicki , M. Golubeva , K. Grebieszkow , A. Grzeszczuk , F. Guber , A. Haesler , T. Hasegawa , A. Herve , M. Hierholzer , S. Igolkin , A. Ivashkin , K. Kadija , A. Kapoyannis , E. Kaptur , J. Kisiel , T. Kobayashi , V. I. Kolesnikov , D. Kolev , V. P. Kondratiev , A. Korzenev , K. Kowalik , S. Kowalski , M. Koziel , A. Krasnoperov , M. Kuich , A. Kurepin , D. Larsen , A. Laszlo , M. Lewicki , V. V. Lyubushkin , M. Mackowiak-Pawlowska , B. Maksiak , A. I. Malakhov , D. Manic , A. Marcinek , K. Marton , H. -J. Mathes , T. Matulewicz , V. Matveev , G. L. Melkumov , S. Morozov , S. Mrowczynski , T. Nakadaira , M. Naskret , M. Nirkko , K. Nishikawa , A. D. Panagiotou , M. Pavin , O. Petukhov , C. Pistillo , R. Planeta , B. A. Popov , M. Posiadala , S. Pulawski , J. Puzovic , W. Rauch , M. Ravonel , A. Redij , R. Renfordt , E. Richter-Was , A. Robert , D. Rohrich , E. Rondio , M. Roth , A. Rubbia , A. Rustamov , M. Rybczynski , A. Sadovsky , K. Sakashita , R. Sarnecki , K. Schmidt , T. Sekiguchi , A. Seryakov , P. Seyboth , D. Sgalaberna , M. Shibata , M. Slodkowski , P. Staszel , G. Stefanek , J. Stepaniak , H. Strobele , T. Susa , M. Szuba , M. Tada , A. Tefelska , D. Tefelski , V. Tereshchenko , R. Tsenov , L. Turko , R. Ulrich , M. Unger , M. Vassiliou , D. Veberic , V. V. Vechernin , G. Vesztergombi , L. Vinogradov , A. Wilczek , Z. Wlodarczyk , A. Wojtaszek-Szwarc , O. Wyszynski , L. Zambelli

Mutual Coulomb interactions between electrons lead to a plethora of interesting physical and chemical effects, especially if those interactions involve many fluctuating electrons over large spatial scales. Here, we identify and study in…

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

Fluctuations associated with stretched E2 transitions from high spin levels in nuclei around $^{168}$Yb are investigated by a cranked shell model extended to include residual two-body interactions. It is found that the gamma-ray energies…

Nuclear Theory · Physics 2009-10-22 M. Matsuo , T. Døssing , B. Herskind , S. Frauendorf

Randomly charged net-neutral dielectric slabs are shown to interact across a featureless dielectric continuum with long-range electrostatic forces that scale with the statistical variance of their quenched random charge distribution and…

Soft Condensed Matter · Physics 2015-06-05 Vahid Rezvani , Jalal Sarabadani , Ali Naji , Rudolf Podgornik

We study the equilibrium fluctuations of an interacting particle system evolving on the discrete ring with $N\in\mathbb N$ points, denoted by $\mathbb T_N$, and with three species of particles that we name $A,B$ and $C$, but such that at…

Probability · Mathematics 2024-08-29 Giuseppe Cannizzaro , Patricia Gonçalves , Ricardo Misturini , Alessandra Occelli

We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state…

Mathematical Physics · Physics 2009-11-10 M. Hartmann , G. Mahler , O. Hess

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , S. Curilef