English
Related papers

Related papers: Gibbs measures based on 1D (an)harmonic oscillator…

200 papers

The present article is concerned with the use of approximations in the calculation of the many-body density of states (MBDS) of a system with total energy E, composed by N bosons. In the mean-field framework, an integral expression for…

Statistical Mechanics · Physics 2014-11-17 Alexandre Dias Ribeiro

We study general coordinate-wise MCMC schemes (such as Metropolis-within-Gibbs samplers), which are commonly used to fit Bayesian non-conjugate hierarchical models. We relate their convergence properties to the ones of the corresponding…

Computation · Statistics 2026-01-12 Filippo Ascolani , Gareth O. Roberts , Giacomo Zanella

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

Superconductivity · Physics 2009-11-10 Takafumi Kita

This paper studies limit measures of stationary measures of stochastic ordinary differential equations on the Euclidean space and tries to determine which invariant measures of an unperturbed system will survive. Under the assumption for…

Dynamical Systems · Mathematics 2022-01-28 Tianyuan Xu , Lifeng Chen , Jifa Jiang

Let $A$ be a finite set and $\phi:A^Z\to R$ be a locally constant potential. For each $\beta>0$ ("inverse temperature"), there is a unique Gibbs measure $\mu_{\beta\phi}$. We prove that, as $\beta\to+\infty$, the family…

Dynamical Systems · Mathematics 2011-09-21 J. -R. Chazottes , J. -M. Gambaudo , E. Ugalde

We consider Canonical Gibbsian ensembles of Euler point vortices on the 2-dimensional torus or in a bounded domain of R 2 . We prove that under the Central Limit scaling of vortices intensities, and provided that the system has zero global…

Probability · Mathematics 2020-04-22 Francesco Grotto , Marco Romito

We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in this case there is a single site that accomodates a…

Probability · Mathematics 2009-12-08 Inés Armendáriz , Michail Loulakis

We study gauge extensions of the MSSM that contain non-decoupling D-terms, which contribute to the Higgs boson mass. These models naturally maintain gauge coupling unification and raise the Higgs mass without fine-tuning. Unification…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alexander Maloney , Aaron Pierce , Jay G. Wacker

We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair interactions decaying with power $2-\alpha$ (for $0 \leq \alpha < 1$), and prepared with randomly chosen boundary conditions. We show that at low…

Mathematical Physics · Physics 2024-05-17 Eric O. Endo , Aernout C. D. van Enter , Arnaud Le Ny

Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the Born-Oppenheimer approximation we show that the motion of the condensate satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The Galilean…

Condensed Matter · Physics 2015-06-25 Ping Ao , David J. Thouless , X. -M. Zhu

The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a…

Statistical Mechanics · Physics 2017-06-13 Laura Foini , Andrea Gambassi , Robert Konik , Leticia F. Cugliandolo

The gauging of axionic, Stueckelberg-type, shift symmetries with generalized Chern-Simons terms and the Green-Schwarz mechanism of anomaly cancellation has recently been studied in the context of certain string compactifications and with…

High Energy Physics - Theory · Physics 2008-11-18 Marco Zagermann

A numerical study of low-lying glueball masses of compact U(1) lattice gauge theory in (2+1) dimensions is performed using Standard Path integral Monte Carlo techniques. The masses are extracted, at fixed (low) temperature, from simulations…

High Energy Physics - Lattice · Physics 2007-05-23 Mushtaq Loan , Michael Brunner , Chris Hamer

We report the detailed investigation of the magnetic, transport, and magnetocaloric effects of GdSbSe by magnetic susceptibility $\chi(T)$, isothermal magnetization $M(H)$, resistivity $\rho(T, H)$, and heat capacity $C_p(T)$ measurements,…

Strongly Correlated Electrons · Physics 2024-09-23 Aarti Gautam , Prabuddha Kant Mishra , Souvik Banerjee , A. Sundaresan , Ashok Kumar Ganguli

We study a problem with three equivalent formulations: describing Gibbs measures for five-vertex model in quadrant; classifying coherent systems on a p-deformation of the Gelfand-Tsetlin graph related to Grothendieck polynomials; finding…

Probability · Mathematics 2026-01-06 Vadim Gorin , Sergei Korotkikh

In this paper, we build a Gibbs measure for the 1d cubic Klein-Gordon equation on $\mathbb R$ with a decreasing non linearity, in the sense that the non linearity $f^3$ is multiplied by $\chi$ where $\chi$ is a sufficiently integrable non…

Analysis of PDEs · Mathematics 2014-07-02 Anne-Sophie de Suzzoni

The dual theory describing the 4D Coulomb gas of point-like magnetically charged objects, which confines closed electric strings, is considered. The respective generalization of the theory of confining strings to confining membranes is…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri Antonov

Consider a compact metric space $(M, d_M)$ and $X = M^{\mathbb{N}}$. We prove a Ruelle's Perron Frobenius Theorem for a class of compact subshifts with Markovian structure introduced in [Bull. Braz. Math. Soc. 45 (2014), pp. 53-72] which…

Dynamical Systems · Mathematics 2021-11-12 Rafael Rigão Souza , Victor Vargas

We study an anisotropic version of the Shubin calculus of pseudodifferential operators on $\mathbf R^d$. Anisotropic symbols and Gabor wave front sets are defined in terms of decay or growth along curves in phase space of power type…

Analysis of PDEs · Mathematics 2022-12-05 Luigi Rodino , Patrik Wahlberg

As well as primary fluctuations, CMB temperature maps contain a wealth of additional information in the form of secondary anisotropies. Secondary effects that can be identified with individual objects, such as the thermal and kinetic…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-19 Philip Bull , Ingunn K. Wehus , Hans Kristian Eriksen , Pedro G. Ferreira , Unni Fuskeland , Krzysztof M. Gorski , Jeffrey B. Jewell