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We investigate the theory of thermodynamic formalism from the perspective of computable analysis, with a special focus on the computability of equilibrium states. Specifically, we develop two complementary general approaches to verify the…

Dynamical Systems · Mathematics 2025-12-18 Ilia Binder , Qiandu He , Zhiqiang Li , Xianghui Shi

We study the hydrodynamic limit for three gradient spin models: generalized Kipnis-Marchioro-Presutti (KMP), its discrete version and a family of harmonic models, under symmetric and nearest-neighbor interactions. These three models share…

Probability · Mathematics 2025-05-19 Chiara Franceschini , Patrícia Gonçalves , Kohei Hayashi , Makiko Sasada

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master integrals of the type appearing in…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

We investigate, theoretically and experimentally, the thermodynamic performance of a minimal three-qubit heat-bath algorithmic cooling refrigerator. We analytically compute the coefficient of performance, the cooling power and the…

Quantum Physics · Physics 2022-07-12 Rodolfo Soldati , Durga Bhaktavatsala Rao Dasari , Jörg Wrachtrup , Eric Lutz

We investigate the differentiability of minimal average energy associated to the functionals $S_\ep (u) = \int_{\mathbb{R}^d} (1/2)|\nabla u|^2 + \ep V(x,u)\, dx$, using numerical and perturbative methods. We use the Sobolev gradient…

Analysis of PDEs · Mathematics 2011-10-11 Timothy Blass , Rafael de la Llave

We consider continuous maps $f:X\to X$ on compact metric spaces admitting inducing schemes of hyperbolic type introduced in [15] as well as the induced maps $\tilde{f}:\tilde{X}\to\tilde{X}$ and the associated tower maps $\hat{f}:\hat{X}…

Dynamical Systems · Mathematics 2019-03-27 Farruh Shahidi , Agnieszka Zelerowicz

The standard model effective potential is calculated at finite temperature to order $g^4,\la^2$ and a complete zero temperature renormalization is performed. In comparison with lower order calculations the strength of the first order phase…

High Energy Physics - Phenomenology · Physics 2009-10-28 Z. Fodor , A. Hebecker

An exact analytical solution of generalized three-state double-chain Potts model with multi-spin interactions which are invariant under cyclic shift of all spin values is obtained. The partition function in a finite cyclically closed strip…

Statistical Mechanics · Physics 2025-02-04 Pavel Khrapov , Grigory Skvortsov

We compute the complete one-loop finite temperature effective potential for electroweak symmetry breaking in the Standard Model with a Higgs potential supplemented by higher dimensional operators as generated for instance in composite Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Delaunay , C. Grojean , J. D. Wells

We study order-disorder transitions in three-dimensional \textsl{multi-colored} loop models using Monte Carlo simulations. We show that the nature of the transition is intimately related to the nature of the loops. The symmetric loops…

Statistical Mechanics · Physics 2025-02-14 Soumya Kanti Ganguly , Sumanta Mukherjee , Chandan Dasgupta

The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop…

High Energy Physics - Phenomenology · Physics 2010-09-27 Nan Su , Jens O. Andersen , Michael Strickland

The low-temperature thermoelectric power of the repulsive-interaction one-dimensional Hubbard model is calculated using an asymptotic Bethe ansatz for holons and spinons. The competition between the entropy carried by the holons and that…

Condensed Matter · Physics 2007-05-23 C. A. Stafford

Entropy and free-energy estimation are key in thermodynamic characterization of simulated systems ranging from spin models through polymers, colloids, protein structure, and drug-design. Current techniques suffer from being model specific,…

Statistical Mechanics · Physics 2019-10-30 Ram Avinery , Micha Kornreich , Roy Beck

The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which makes them…

High Energy Physics - Phenomenology · Physics 2018-06-11 Tommi Markkanen , Sami Nurmi , Arttu Rajantie , Stephen Stopyra

In this work we propose and analyze a novel Hybrid High-Order discretization of a class of (linear and) nonlinear elasticity models in the small deformation regime which are of common use in solid mechanics. The proposed method is valid in…

Numerical Analysis · Mathematics 2017-07-10 Michele Botti , Daniele Di Pietro , Pierre Sochala

Within the minimal supersymmetric extension of the Standard Model, the mass of the light CP-even Higgs boson is computed to three-loop accuracy, taking into account the next-to-next-to-leading order effects from supersymmetric Quantum…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. V. Harlander , P. Kant , L. Mihaila , M. Steinhauser

Starting from the Phi-derivable approximation scheme at leading-loop order, the thermodynamical potential in a hot scalar theory, as well as in QED and QCD, is expressed in terms of hard thermal loop propagators. This nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre Peshier

An analytical MHD model of coronal loops with compressible flows and including heating is compared to observational data. The model is constructed via a systematic nonlinear separation of the variables method used to calculate several…

Astrophysics · Physics 2009-11-07 G. J. D. Petrie , C. Gontikakis , H. Dara , K. Tsinganos , M. J. Aschwanden

By the mechanical pressure we mean that the pressure in the fundamental thermodynamic equation with the naive form of the electromagnetic work used, while the thermodynamic one we mean that in the equation with proper thermodynamic form of…

Classical Physics · Physics 2025-01-08 Q. H. Liu

Most recent tests of the Standard Model of the electroweak interaction are reported using data from the four LEP experiments ALEPH, DELPHI, L3 and OPAL, the SLD experiment at SLC, the Tevatron ppbar experiments CDF and D0, and the NuTeV…

High Energy Physics - Experiment · Physics 2007-05-23 T. Kawamoto