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We introduce a computational method to discover polymorphs in molecular crystals at finite temperature. The method is based on reproducing the crystallization process starting from the liquid and letting the system discover the relevant…

Chemical Physics · Physics 2020-04-10 Pablo M. Piaggi , Michele Parrinello

Inspired by Katok's intermediate entropy property [Inst. Hautes \'Etudes Sci. Publ. Math. 51 (1980), 137-173], we introduce and study the notion of entropy flexibility for discrete-time and continuous-time dynamical systems. By using…

Dynamical Systems · Mathematics 2025-07-18 Alexander Arbieto , Piotr Oprocha , Elias Rego

This PhD thesis presents a study of the effect and generation of non-adiabatic perturbations in Cosmology. We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is…

Astrophysics · Physics 2007-05-23 Christopher Gordon

The paper moves a step towards the full integration of statistical mechanics and information theory. Starting from the assumption that the thermodynamical system is composed by particles whose quantized energies can be modelled as…

Statistical Mechanics · Physics 2023-02-01 Arnaldo Spalvieri

Autonomous driving in dense, dynamic environments requires decision-making systems that can exploit both spatial structure and long-horizon temporal dependencies while remaining robust to uncertainty. This work presents a novel framework…

Robotics · Computer Science 2025-09-17 Zhihao Zhang , Chengyang Peng , Minghao Zhu , Ekim Yurtsever , Keith A. Redmill

We investigate the role of entropic concepts for the relaxation dynamics in granular systems. In these systems the existence of a geometrical frustration induces a drastic modification of the allowed phase space, which in its turn induces a…

Statistical Mechanics · Physics 2009-10-31 E. Caglioti , V. Loreto

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

We study numerically the configuration space at low energy of electron glasses. We consider systems with Coulomb interactions, short-range interactions and no interactions. First, we calculate the integrated density of configurations as a…

Strongly Correlated Electrons · Physics 2007-05-23 A. Perez-Garrido , M. Ortuno , A. M. Somoza , A. Diaz-Sanchez

Time-delay systems are, in many ways, a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data. However, they are complicated because past states must be…

Chaotic Dynamics · Physics 2007-10-16 D. J. Albers , Fatihcan M. Atay

In the last decade, the use of Machine and Deep Learning (MDL) methods in Condensed Matter physics has seen a steep increase in the number of problems tackled and methods employed. A number of distinct MDL approaches have been employed in…

Computational Engineering, Finance, and Science · Computer Science 2023-03-08 Edoardo Di Napoli , Xinzhe Wu , Thomas Bornhake , Piotr M. Kowalski

Using a coarse molecular-dynamics (CMD) approach with an appropriate choice of coarse variable (order parameter), we map the underlying effective free-energy landscape for the melting of a crystalline solid. Implementation of this approach…

Materials Science · Physics 2009-11-11 Miguel A. Amat , Ioannis G. Kevrekidis , Dimitrios Maroudas

Self-assembly, the process by which interacting components form well-defined and often intricate structures, is typically thought of as a spontaneous process arising from equilibrium dynamics. When a system is driven by external…

Statistical Mechanics · Physics 2021-11-12 Shriram Chennakesavalu , Grant M. Rotskoff

Increasing integration of distributed energy resources (DERs) within distribution feeders provides unprecedented flexibility at the distribution-transmission interconnection. To exploit this flexibility and to use the capacity potential of…

Optimization and Control · Mathematics 2020-12-16 Bai Cui , Ahmed Zamzam , Andrey Bernstein

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

Recent studies indicate that the configurational entropy is an useful tool to investigate the stability and (or) the relative dominance of states for diverse physical systems. Recent examples comprise the connection between the variation of…

High Energy Physics - Theory · Physics 2017-02-22 Nelson R. F. Braga , Roldao da Rocha

This work considers charged systems described by the modified Poisson--Nernst--Planck (PNP) equations, which incorporate ionic steric effects and the Born solvation energy for dielectric inhomogeneity. Solving the steady-state modified PNP…

Numerical Analysis · Mathematics 2025-06-04 Zhonghua Qiao , Zhenli Xu , Qian Yin , Shenggao Zhou

Density destructors are differentiable and invertible transforms that map multivariate PDFs of arbitrary structure (low entropy) into non-structured PDFs (maximum entropy). Multivariate Gaussianization and multivariate equalization are…

Machine Learning · Statistics 2020-12-03 J. Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls , Raul Santos-Rodríguez , Jesús Malo

Generating molecular dynamics (MD) trajectories using deep generative models has attracted increasing attention, yet remains inherently challenging due to the limited availability of MD data and the complexities involved in modeling…

Machine Learning · Computer Science 2026-04-07 Aniketh Iyengar , Jiaqi Han , Pengwei Sun , Mingjian Jiang , Jianwen Xie , Stefano Ermon

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

Chemical Physics · Physics 2013-10-16 Asaf Farhi

We study thermodynamic and dynamic properties of a rigid model of the fragile glass forming liquid orthoterphenyl. A system of N=343 molecules is considered in a wide range of densities and temperatures, reaching simulation times up to 1…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , E. La Nave , H. E. Stanley , C. Donati , F. Sciortino , P. Tartaglia
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