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The development of nuclear shapes under the extreme conditions of high spin and/or temperature is examined. Scaling properties are used to demonstrate universal properties of both thermal expectation values of nuclear shapes as well as the…

Nuclear Theory · Physics 2009-11-10 Dimitri Kusnezov , W. Erich Ormand

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

We propose a Langevin equation for systems in an environment with nonuniform temperature. At odds with an older proposal, ours admits a locally Maxwellian steady state, local equipartition holds and for detailed-balanced (reversible)…

Statistical Mechanics · Physics 2015-06-12 Matteo Polettini

We study the chemical freeze-out dynamics of strange particles ($K,\, \Lambda,\, \Sigma$) from a homogeneous and isotropically expanding hadronic system of $\pi, K, \rho, N, \Lambda$ and $\Sigma$ with zero net baryon density. We use the…

Nuclear Theory · Physics 2021-09-01 Sushant K. Singh , Purabi Ghosh , Jajati K. Nayak

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

We derive novel low-temperature asymptotics for the spectrum of the infinitesimal generator of the overdamped Langevin dynamics. The novelty is that this operator is endowed with homogeneous Dirichlet conditions at the boundary of a domain…

Analysis of PDEs · Mathematics 2026-02-12 Noé Blassel , Tony Lelièvre , Gabriel Stoltz

Distribution of granular temperatures in granular gas mixtures is investigated analytically and numerically. We analyze space uniform systems in a homogeneous cooling state (HCS) and under a uniform heating with a mass-dependent heating…

Statistical Mechanics · Physics 2015-06-19 Anna Bodrova , Denis Levchenko , Nikolay Brilliantov

We establish a Law of Large Numbers and a Central Limit Theorem for a class of Crump Mode Jagers continuous time branching processes, where the birth rate is age dependent, and also random (different from one individual to the next), in the…

Probability · Mathematics 2025-08-19 Ibrahima Dramé , Etienne Pardoux

We present small-scale structure constraints on sterile dark matter produced from a heavy mediator particle, inspired by models of moduli decay. Dark matter particles produced through this mechanism can contribute to the entire dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-21 Arka Banerjee , Subinoy Das , Anshuman Maharana , Ethan O. Nadler , Ravi Kumar Sharma

We develop a new $L^1$ law of large numbers where the $i$-th summand is given by a function $h(\cdot)$ evaluated at $X_i - \theta_n$, and where $\theta_n \circeq \theta_n(X_1,X_2,\ldots,X_n)$ is an estimator converging in probability to…

Probability · Mathematics 2022-05-25 Pierre Lafaye de Micheaux , Frédéric Ouimet

We study the large deviations principle for one dimensional, continuous, homogeneous, strong Markov processes that do not necessarily behave locally as a Wiener process. Any strong Markov process $X_{t}$ in $\mathbb{R}$ that is continuous…

Probability · Mathematics 2011-07-19 Konstantinos Spiliopoulos

Many seemingly different macroscopic systems (magnets, ferroelectrics, CDW, vortices,..) can be described as generic disordered elastic systems. Understanding their static and dynamics thus poses challenging problems both from the point of…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Bustingorry , A. B. Kolton , A. Rosso , W. Krauth , T. Giamarchi

We present the way the Lorentz invariant canonical partition function for Matrix Theory as a light-cone formulation of M-theory can be computed. We explicitly show how when the eleventh dimension is decompactified, the N = 1 eleven…

High Energy Physics - Theory · Physics 2009-10-31 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

We derive explicit formulas for the eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland model as infinite series, to all orders and for arbitrary particle numbers and coupling parameters. The eigenfunctions obtained provide…

Mathematical Physics · Physics 2016-02-04 Edwin Langmann

The low temperature thermodynamics of correlated 1D fermionic models with spin and charge degrees of freedom is obtained by exact diagonalization (ED) of small systems and followed by density matrix renormalization group (DMRG) calculations…

Strongly Correlated Electrons · Physics 2022-03-11 Sudip Kumar Saha , Debasmita Maiti , Manoranjan Kumar , Zoltán G. Soos

We introduce a scheme for deep laser cooling of molecules based on robust dark states at zero velocity. By simulating this scheme, we show it to be a widely applicable method that can reach the recoil limit or below. We demonstrate and…

Atomic Physics · Physics 2019-07-24 L. Caldwell , J. A. Devlin , H. J. Williams , N. J. Fitch , E. A. Hinds , B. E. Sauer , M. R. Tarbutt

The correlation properties of a random system of densely packed disks, obeying a power-law size distribution, are analyzed in reciprocal space in the thermodynamic limit. This limit assumes that the total number of disks increases…

Soft Condensed Matter · Physics 2024-11-22 Alexander Yu. Cherny , Eugen M. Anitas , Artem A. Vladimirov , Vladimir A. Osipov

We compute the degeneracy of energy levels in the Kitaev quantum double model for any discrete group $G$ on any planar graph forming the skeleton of a closed orientable surface of arbitrary genus. The derivation is based on the fusion rules…

Strongly Correlated Electrons · Physics 2026-04-07 Anna Ritz-Zwilling , Benoît Douçot , Steven H. Simon , Julien Vidal , Jean-Noël Fuchs

The density matrix renormalization group is one of the most powerful numerical methods for computing ground-state properties of two-dimensional (2D) quantum lattice systems. Here we show its finite-temperature extensions are also viable for…

Strongly Correlated Electrons · Physics 2017-08-24 Benedikt Bruognolo , Zhenyue Zhu , Steven R. White , E. Miles Stoudenmire

We solve a non-equilibrium statistical mechanics problem exactly, namely, the single-file dynamics of N hard-core interacting particles (the particles cannot pass each other) of size \Delta diffusing in a one dimensional system of finite…

Statistical Mechanics · Physics 2009-12-22 Ludvig Lizana , Tobias Ambjornsson