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Tailoring the performance of next-generation high entropy materials requires a deep understanding of the competition between entropy-driven random solid solution and enthalpy-driven chemical ordering. Investigating such order and disorder…

Materials Science · Physics 2026-03-24 Fanli Zhou , Hao Chen , Pengxiang Xu , Kai Yang , Zongrui Pei , Xianglin Liu

A lattice model of a hetero-polymer with random hydrophilic-hydrophobic charges interacting with the solvent is introduced, whose continnuum counterpart has been proposed by T. Garel, L. Leibler and H. Orland {J. Phys. II France 4, 2139…

Statistical Mechanics · Physics 2009-10-31 A. Trovato , J. van Mourik , A. Maritan

This work presents a finite element method for a modified Poisson-Nernst-Planck/Navier-Stokes (PNP/NS) model under the mechanical equilibrium, developed for compressible electrolytes. Another key contribution of this work is the reduction…

Numerical Analysis · Mathematics 2026-01-27 Ankur , Ram Jiwari , Satyvir Singh

We outline a partial-fractions decomposition method for determining the one-particle spectral function and single-particle density of states of a correlated electronic system on a finite lattice in the non self-consistent T-matrix…

Strongly Correlated Electrons · Physics 2009-11-10 R. J. Gooding , F. Marsiglio , S. Verga , K. S. D. Beach

We consider the meta-equilibrium state of a composite system made up of independent subsystems satisfying the additive form of external constraints, as recently discussed by Abe [Phys. Rev. E {\bf 63}, 061105 (2001)]. We derive the additive…

Statistical Mechanics · Physics 2009-11-10 Ramandeep S. Johal

Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

Statistical Mechanics · Physics 2024-05-09 Samuel D. Gelman , Guy Cohen

We investigate out-of-equilibrium entanglement dynamics in a generalization of the so-called $QSSEP$ model, which is a free-fermion chain with stochastic in space and time hopping amplitudes. In our setup, the noisy amplitudes are…

Statistical Mechanics · Physics 2026-05-11 Vincenzo Alba

For a closed-loop control system with a digital channel between the sensor and the controller, the notion of invariance entropy quantifies the smallest average rate of information above which a given compact subset of the state space can be…

Optimization and Control · Mathematics 2021-11-19 Mahendra Singh Tomar , Christoph Kawan , Majid Zamani

Using a recently developed technique to estimate the equilibrium free energy of glassy materials, we explore if equilibrium simulation methods can be used to estimate the solubility of amorphous solids. As an illustration, we compute the…

Statistical Mechanics · Physics 2021-04-07 H. A. Vinutha , Daan Frenkel

The biggest challenge in manufacturing an immiscible system is phase segregation and non-uniformity inside the composite matrix. Additive manufacturing has the potential to overcome these difficulties due to the high cooling rate achieved…

Predicting and interpreting thermal performance under oscillating flow in porous structures remains a critical challenge due to the complex coupling between fluid dynamics and geometric features. This study introduces a data-driven…

Fluid Dynamics · Physics 2025-09-16 Lichang Zhu , Laura Schaefer , Leitao Chen , Ben Xu

We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response…

We develop a multicomponent lattice Boltzmann (LB) model for the 2D Rayleigh--Taylor turbulence with a Shan-Chen pseudopotential implemented on GPUs. In the immiscible case this method is able to accurately overcome the inherent numerical…

Fluid Dynamics · Physics 2021-12-13 Hugo S. Tavares , Luca Biferale , Mauro Sbragaglia , Alexei A. Mailybaev

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

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

Solid solutions, structurally ordered but compositionally disordered mixtures, can form for salts, metals, and even organic compounds. The NaCl-KCl system forms a solid solution at all compositions between 657{\deg}C and 505{\deg}C. Below a…

Statistical Mechanics · Physics 2020-04-16 Jamshed Anwar , Christian Leitold , Baron Peters

We present a review of the Non-additive Stochastic Model for supercooled liquids (NSM), an efficient approach for diffusive processes that provides a suitable interpretation for the non-Arrhenius dynamics in these materials. Based on a…

We discuss level crossing of the free-energy of TAP solutions under variations of external parameters such as magnetic field or temperature in mean-field spin-glass models that exhibit one-step Replica-Symmetry-Breaking (1RSB). We study the…

Disordered Systems and Neural Networks · Physics 2012-10-31 Tommaso Rizzo , Hajime Yoshino

Nonequilibrium self-assembly is the root of all emergent complexity, including life. In quantum materials emergent metastable states have become a very fashionable topic of research, but the study of resulting mesoscopic state dynamics is…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Yevhenii Vaskivskyi , Jaka Vodeb , Igor Vaskivskyi , Dragan Mihailovic

We develop a first-principles model of thermally-activated cross-slip in magnesium in the presence of a random solute distribution. Electronic structure methods provide data for the interaction of solutes with prismatic dislocation cores…

Materials Science · Physics 2012-08-27 Joseph A. Yasi , Louis G. Hector, , Dallas R. Trinkle