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The 38-atom Lennard-Jones cluster has a paradigmatic double-funnel energy landscape. One funnel ends in the global minimum, a face-centred-cubic (fcc) truncated octahedron. At the bottom of the other funnel is the second lowest energy…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , Mark Miller , David Wales

Metastable phases may be spontaneously formed from other metastable phases through nucleation. Here we demonstrate the spontaneous formation of a metastable phase from an unstable equilibrium by spinodal decomposition, which leads to a…

Soft Condensed Matter · Physics 2016-10-10 Ricard Alert , Pietro Tierno , Jaume Casademunt

Employing the fractional derivatives, we construct a more elaborate classification of phase transitions compared to the original Ehrenfest classification. In this way, a thermodynamic system can even undergo a fractional-order phase…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Meng-Sen Ma

We study quantum-classical escape-rate transitions for uniaxial and biaxial models with finite spins S=10 (such as Mn_12Ac and Fe_8) and S=100 by a direct numerical approach. At second-order transitions the level making a dominant…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin , E. M. Chudnovsky

We present ground-state calculations for laterally coupled quantum dots containing 2, 4, and 8 electrons. As our emphasis is on spin effects our results are obtained by applying spin-density functional theory (SDFT). By varying the distance…

Condensed Matter · Physics 2009-10-31 Andreas Wensauer , Oliver Steffens , Michael Suhrke , Ulrich Roessler

In recent experiments on sodium chloride clusters structural transitions between nanocrystals with different cuboidal shapes were detected. Here we determine reaction pathways between the low energy isomers of one of these clusters,…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , David Wales

The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic description of the thermodynamic transition from a fluid state to a crystalline state. The resulting phase field crystal model describes a…

Pattern Formation and Solitons · Physics 2014-05-13 Uwe Thiele , Andrew J. Archer , Mark J. Robbins , Hector Gomez , Edgar Knobloch

We study the spin-$1/2$ two-dimensional Shastry-Sutherland spin model by exact diagonalization of clusters with periodic boundary conditions. We develop an improved level spectroscopic technique using energy gaps between states with…

Strongly Correlated Electrons · Physics 2022-07-13 Ling Wang , Yalei Zhang , Anders W. Sandvik

This paper explores the phase space structures characterising transport for a double-well van der Waals potential surface. Trajectories are classified as inter-well, intra-well, and escaping-from-a-well to define different dynamical fates.…

The phase diagram, ($T,\rho$), of a finite, constrained, and classical system is built from the analysis of cluster distributions in phase and configurational space. The obtained phase diagram can be split in three regions. One, low density…

Nuclear Theory · Physics 2007-05-23 A. Chernomoretz , P. Balenzuela , C. O. Dorso

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of…

Statistical Mechanics · Physics 2018-04-04 P. Cats , A. Quelle , O. Viyuela , M. A. Martin-Delgado , C. Morais Smith

The recent discovery of heavy-fermion superconductor UTe$_2$ has broadened the possibility of realizing exotic time-reversal-symmetry-breaking superconductivity. However, a comprehensive understanding of the topological phases in the…

Superconductivity · Physics 2025-11-11 Yuki Yamazaki , Shingo Kobayashi

Non-aligning self-propelled particles with purely repulsive excluded volume interactions undergo athermal motility-induced phase separation into a dilute gas and a dense cluster phase. Here, we use enhanced sampling computational methods…

Soft Condensed Matter · Physics 2016-10-05 Gabriel S. Redner , Caleb G. Wagner , Aparna Baskaran , Michael F. Hagan

We review various semiclassical models for strong-field physics. These semiclassical models employ ensembles of classical trajectories to simulate electron motion in the continuum after being released from an atom or molecule by an external…

Atomic Physics · Physics 2025-10-16 Nikolay Shvetsov-Shilovski

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

Mathematical Physics · Physics 2007-05-23 Vittorino Talamini

Characterization of transient intermediate or transition states is crucial for the description of biomolecular folding pathways, which is however difficult in both experiments and computer simulations. Such transient states are typically of…

Biomolecules · Quantitative Biology 2009-11-13 Yuan Yao , Jian Sun , Xuhui Huang , Gregory R. Bowman , Gurjeet Singh , Michael Lesnick

When two distinct ordered phases contact, the interface may exhibit rich and fascinating structures. Focusing on the Cylinder-Gyroid interface system, transition pathways connecting various interface morphologies are studied armed with the…

Soft Condensed Matter · Physics 2022-10-12 Xiaomei Yao , Jie Xu , Lei Zhang

Quantum polarization is investigated by means of a trajectory picture based on the Bohmian formulation of quantum mechanics. Relevant examples of classical-like two-mode field states are thus examined, namely Glauber and SU(2) coherent…

Quantum Physics · Physics 2015-09-02 Alfredo Luis , Angel S. Sanz

Establishing the existence of periodic orbits is one of the crucial and most intricate topics in the study of dynamical systems, and over the years, many methods have been developed to this end. On the other hand, finding closed orbits in…

Dynamical Systems · Mathematics 2022-01-25 Marian Mrozek , Roman Srzednicki , Justin Thorpe , Thomas Wanner

We consider a network model, embedded on the Manhattan lattice, of a quantum localisation problem belonging to symmetry class C. This arises in the context of quasiparticle dynamics in disordered spin-singlet superconductors which are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. J. Beamond , A. L. Owczarek , John Cardy