English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

We present a quantum statistical analysis of a microscopic mean-field modelof structural glasses at low temperatures. The model can be thought of asarising from a random Born von Karman expansion of the full interactionpotential. The problem is reduced to a single-site theory formulated in termsof an imaginary-time path integral using replicas to deal with the disorder. Westudy the physical properties of the system in thermodynamic equilibrium anddevelop both perturbative and non-perturbative methods to solve the model. Theperturbation theory is formulated as a loop expansion in terms of two-particleirreducible diagrams, and is carried to three-loop order in the effectiveaction. The non-perturbative description is investigated in two ways, (i) usinga static approximation, and (ii) via Quantum Monte Carlo simulations. Resultsfor the Matsubara correlations at two-loop order perturbation theory are ingood agreement with those of the Quantum Monte Carlo simulations.Characteristic low-temperature anomalies of the specific heat are reproduced,both in the non-perturbative static approximation, and from a three-loopperturbative evaluation of the free energy. In the latter case the result sofar relies on using Matsubara correlations at two-loop order in the three-loopexpressions for the free energy, as self-consistent Matsubara correlations atthree-loop order are still unavailable. We propose to justify this by the goodagreement of two-loop Matsubara correlations with those obtainednon-perturbatively via Quantum Monte Carlo simulations.

Quantum Statistical Physics of Glasses at Low Temperatures