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Positioned between crystalline solids and liquids, disordered many-particle systems which are stealthy and hyperuniform represent new states of matter that are endowed with novel physical and thermodynamic properties. Such stealthy and…

Statistical Mechanics · Physics 2016-02-10 Eli Chertkov , Robert A. DiStasio , Ge Zhang , Roberto Car , Salvatore Torquato

An ensemble of inelastically colliding grains driven by a vibrating wall in 2D exhibits density clustering. Working in the limit of nearly elastic collisions and employing granular hydrodynamics, we predict, by a marginal stability…

Soft Condensed Matter · Physics 2007-05-23 Eli Livne , Baruch Meerson , Pavel V. Sasorov

We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and…

Statistical Mechanics · Physics 2015-06-15 Himani Sachdeva , Mustansir Barma , Madan Rao

The Voronoi model is a popular tool for studying confluent living tissues. It exhibits an anomalous glassy behavior even at very low temperatures or weak active self-propulsion, and at zero temperature the model exhibits a disordered solid…

Soft Condensed Matter · Physics 2021-09-30 D. E. P. Pinto , D. M. Sussman , M. M. Telo da Gama , N. A. M. Araujo

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

In accordance with recent experiments the mean-field type theories predict the presence of numerous metastable minima (states) in the rugged free-energy landscape of frustrated disordered magnets. This multiplicity of long-lived states with…

Disordered Systems and Neural Networks · Physics 2015-05-14 P. N. Timonin

A model is derived for the viscoelastic response of glasses at isothermal uniaxial deformation with small strains. A glass is treated as an ensemble of relaxing units with various activation energies for rearrangement. With reference to the…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

The equation of state for a liquid in equilibrium, written in the potential energy landscape formalism, is generalized to describe out-of-equilibrium conditions. The hypothesis that during aging the system explores basins associated to…

Soft Condensed Matter · Physics 2016-08-31 Stefano Mossa , Emilia La Nave , Francesco Sciortino , Piero Tartaglia

Based on multiple simulation trajectories, which started from dispersively selected initial conformations, the weighted ensemble dynamics method is designed to robustly and systematically explore the hierarchical structure of complex…

Statistical Mechanics · Physics 2015-05-14 Linchen Gong , Xin Zhou

We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification gives rise to phase transitions from disordered states at…

Mathematical Physics · Physics 2014-09-25 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We present a technique to control the spatial state of a small cloud of interacting particles at low temperatures with almost perfect fidelity using spatial adiabatic passage. To achieve this, the resonant trap energies of the system are…

Quantum Physics · Physics 2017-08-09 Irina Reshodko , Albert Benseny , Thomas Busch

Random quantum states drawn from the Haar ensemble with a constraint on the energy expectation value $E_{\mathrm{av}} = \langle \psi | H | \psi\rangle$ display \textit{eigenstate condensation}: for $E_{\mathrm{av}}$ below a critical value…

Quantum Physics · Physics 2026-01-28 Christopher David White , Michael Winer , Noam Bernstein

The Mackey-Glass system is a paradigmatic example of a delayed model whose dynamics is particularly complex due to, among other factors, its multistability involving the coexistence of many periodic and chaotic attractors. The prediction of…

Chaotic Dynamics · Physics 2024-10-16 Juan P. Tarigo , Cecilia Stari , Arturo C. Marti

We explore whether the topology of energy landscapes in chemical systems obeys any rules and what these rules are. To answer this and related questions we use several tools: (i)Reduced energy surface and its density of states, (ii)…

Materials Science · Physics 2015-05-14 Artem R. Oganov , Mario Valle

We analyse biased ensembles of trajectories for a two-dimensional system of particles, evolving by Langevin dynamics in a channel geometry. This bias controls the degree of particle clustering. On biasing to large clustering, we observe a…

Statistical Mechanics · Physics 2022-09-05 Jakub Dolezal , Robert L. Jack

The system of N particles moving on a circle and interacting via a global repulsive cosine interaction is well known to display spatially inhomogeneous structures of extraordinary stability starting from certain low energy initial…

Statistical Mechanics · Physics 2009-11-07 F. Leyvraz , M. -C. Firpo , S. Ruffo

Metadynamics is a popular enhanced sampling scheme wherein by periodic application of a repulsive bias, one can surmount high free energy barriers and explore complex landscapes. Recently metadynamics was shown to be mathematically well…

Chemical Physics · Physics 2016-01-20 Pratyush Tiwary , James F. Dama , Michele Parrinello

In this article, we review the metastable hierarchy in low-temperature lattice models. In the first part, we state that for any abstract lattice system governed by a Hamiltonian potential and evolving according to a Metropolis-type…

Probability · Mathematics 2025-02-04 Seonwoo Kim

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates a class of random dynamical systems, arising from perturbing a one-dimensional piecewise…

Dynamical Systems · Mathematics 2025-10-27 Cecilia González-Tokman , Joshua Peters

We show that the empirical process associated with a system of weakly interacting diffusion processes exhibits a form of noise-induced metastability. The result is based on an analysis of the associated McKean--Vlasov free energy, which,…

Analysis of PDEs · Mathematics 2021-03-04 Rishabh S. Gvalani , André Schlichting
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