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Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

强关联电子 · 物理学 2013-05-29 Michael Potthoff , Matthias Balzer

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and…

无序系统与神经网络 · 物理学 2013-05-30 Xiaoquan Yu , Markus Mueller

The formation of polarized signaling domains on cell membranes is a fundamental example of biological pattern formation. While such patterns resemble structures from equilibrium phase separation, they are intrinsically non-equilibrium,…

生物物理 · 物理学 2025-12-10 Damiano Andreghetti , Alfredo Braunstein , Luca Dall'Asta , Andrea Gamba

Dynamical systems of N particles in \R^{D} interacting by a singular pair potential of mean field type are considered. The systems are assumed to be of gradient type and the existence of a macroscopic limit in the many particle limit is…

数学物理 · 物理学 2016-10-17 Robert J. Berman , Magnus Önnheim

We introduce a family of glassy models having a parameter, playing the role of an interaction range, that may be varied continuously to go from a system of particles in d dimensions to a mean-field version of it. The mean-field limit is…

统计力学 · 物理学 2015-05-27 Romain Mari , Jorge Kurchan

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

软凝聚态物质 · 物理学 2009-11-11 Mauro Sellitto

The nucleation of a lamellar phase from a supercooled homogeneous phase in a fluctuation driven first-order transition is studied, based on a phenomenological free energy due to Brazovskii. The absence of phase coexistence in the…

patt-sol · 物理学 2009-10-28 P. C. Hohenberg , J. B , Swift

In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining…

无序系统与神经网络 · 物理学 2025-03-18 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary , Parham Radpay

A basic problem in the science of realistic granular matter is the plethora of heuristic models of the stress field in the absence of a first-principles theory. Such a theory is formulated here, based on the idea that static granular…

软凝聚态物质 · 物理学 2023-12-25 Raphael Blumenfeld

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

无序系统与神经网络 · 物理学 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

Effective field theory of the in-medium nucleon-nucleon interaction is considered. The effective range parameters are found to be of a natural scale. The low density limit is discussed both in perturbative and nonperturbative situations. In…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Krippa

This key-issues review is a plea for a new focus on simpler and more realistic models of glass-forming fluids. It seems to me that we have too often been led astray by sophisticated mathematical models that beautifully capture some of the…

统计力学 · 物理学 2015-06-17 J. S. Langer

Nucleation, commonly associated with discontinuous transformations between metastable and stable phases, is crucial in fields as diverse as atmospheric science and nanoscale electronics. Traditionally, it is considered a microscopic process…

In materials science the phase field crystal approach has become popular to model crystallization processes. Phase field crystal models are in essence Landau-Ginzburg-type models, which should be derivable from the underlying microscopic…

软凝聚态物质 · 物理学 2013-05-30 M. Oettel , S. Dorosz , M. Berghoff , B. Nestler , T. Schilling

The analytical model of a glass-forming system is formulated within the formalism analogous to gauge theory constructions in quantum field theory. This work explores the scope of the proposed approach and investigates the equilibrium…

统计力学 · 物理学 2025-07-15 Son L. D. , Vasin M. G

A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion…

高能物理 - 理论 · 物理学 2009-10-31 Ian D. Lawrie

We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

软凝聚态物质 · 物理学 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass model is…

无序系统与神经网络 · 物理学 2009-11-11 Tommaso Castellani , Andrea Cavagna

Crystallization of supersaturated liquids usually starts by heterogeneous nucleation. Mounting evidence shows that even homogeneous nucleation in simple liquids takes place in two steps; first a dense amorphous precursor forms, and the…

We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84,…

无序系统与神经网络 · 物理学 2015-06-04 Grzegorz Szamel , Elijah Flenner