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We present a statistical mechanical description of randomly packed spherical particles, where the average coordination number is treated as a macroscopic thermodynamic variable. The overall packing entropy is shown to have two…

Soft Condensed Matter · Physics 2022-02-02 Jack A. Logan , Alexei V. Tkachenko

Phase-transition phenomena in deep learning (grokking, emergent capabilities, and ontological reorganization under context shift) have been studied through several lenses, including representational compression, singular learning theory,…

Machine Learning · Computer Science 2026-05-19 Truong Xuan Khanh

In this work, a novel ring polymer representation for multi-level quantum system is proposed for thermal average calculations. The proposed presentation keeps the discreteness of the electronic states: besides position and momentum, each…

Chemical Physics · Physics 2017-05-24 Jianfeng Lu , Zhennan Zhou

Nonlocal models, including peridynamics, often use integral operators that embed lengthscales in their definition. However, the integrands in these operators are difficult to define from the data that are typically available for a given…

Materials Science · Physics 2022-01-05 Huaiqian You , Yue Yu , Stewart Silling , Marta D'Elia

Under the most common experimental conditions, the adsorption of proteins to solid surfaces is an spontaneous process that leads to a rather compact layer of randomly oriented molecules. Due to the importance of this process for the…

Soft Condensed Matter · Physics 2022-06-29 Sergio A. Urzúa , Perla Y. Sauceda-Oloño , Carlos D. García , Christopher D. Cooper

Protein-protein interactions (PPIs) are essentials for many biological processes where two or more proteins physically bind together to achieve their functions. Modeling PPIs is useful for many biomedical applications, such as vaccine…

Biomolecules · Quantitative Biology 2021-12-10 Yang Xue , Zijing Liu , Xiaomin Fang , Fan Wang

Protein (receptor)--ligand interaction prediction is a critical component in computer-aided drug design, significantly influencing molecular docking and virtual screening processes. Despite the development of numerous scoring functions in…

Biomolecules · Quantitative Biology 2024-01-22 Haoyu Lin , Shiwei Wang , Jintao Zhu , Yibo Li , Jianfeng Pei , Luhua Lai

To better understand protein-solvent interaction we have analyzed a variety of physical and geometrical properties of the solvent-excluded surfaces (SESs) over a large set of soluble proteins with crystal structures. We discover that all…

Biomolecules · Quantitative Biology 2016-05-05 Lincong Wang

Small peptides are model molecules for the amino acid residues that are the constituents of proteins. In any bottom-up approach to understand the properties of these macromolecules essential in the functioning of every living being, to…

Quantitative Methods · Quantitative Biology 2008-11-24 Pablo Echenique , Gregory A. Chass

We introduce a constructive framework for assigning thermodynamic structure to an arbitrary data system from its measured microstates. Starting from an empirical distribution over configurations, we first infer a data-driven energy function…

Statistical Mechanics · Physics 2026-04-29 George-Rafael Domenikos , Lock Yue Chew , Victoria Leong

This paper presents a novel method for finding features in the analysis of variable distributions stemming from time series. We apply the methodology to the case of submitted and accepted papers in peer-reviewed journals. We provide a…

Digital Libraries · Computer Science 2019-10-15 Marcel Ausloos , Olgica Nedic , Aleksandar Dekanski

Intelligent reflecting surfaces (IRS) have emerged as a promising technology for future 6G wireless networks, offering programmable control of the wireless environment by adjusting the phase shifts of reflecting elements. However, IRS…

Signal Processing · Electrical Eng. & Systems 2025-05-08 Xianhua Yu , Dong Li

We study statistical properties of interacting protein-like surfaces and predict two strong, related effects: (i) statistically enhanced self-attraction of proteins; (ii) statistically enhanced attraction of proteins with similar…

Biomolecules · Quantitative Biology 2007-05-23 D. B. Lukatsky , B. E. Shakhnovich , J. Mintseris , E. I. Shakhnovich

To confer high specificity and affinity in binding, contacts at interfaces between two interacting macromolecules are expected to exhibit pair preferences for types of atoms or residues. Here we quantify these preferences by measuring the…

Biomolecules · Quantitative Biology 2007-05-23 William W. Chen , Paul J. Choi , Jason E. Donald , Eugene I. Shakhnovich

We present an information-theoretic assessment of atomic and molecular densities in the ground state and under a range of physical scenarios--excitation, confinement, and ensemblization. Comparisons across densities obtained from…

Chemical Physics · Physics 2026-05-21 Abdulrahman Y. Zamani , Kevin Carter-Fenk

A quasi two-dimensional colloidal suspension is studied under the influence of immobilisation (pinning) of a random fraction of its particles. We introduce a novel experimental method to perform random pinning and, with the support of…

We propose a novel approach for predicting protein-peptide interactions using a bi-modal transformer architecture that learns an inter-facial joint distribution of residual contacts. The current data sets for crystallized protein-peptide…

Biomolecules · Quantitative Biology 2023-06-02 Justin Diamond , Markus Lill

With the help of von Neumann entropy, we study numerically the localization properties of two interacting particles (TIP) with on-site interactions in one-dimensional disordered, quasiperiodic, and slowly varying potential systems,…

Quantum Physics · Physics 2007-10-16 Longyan Gong , Peiqing Tong

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

We generalize the Point information gain (PIG) and derived quantities, i.e. Point information entropy (PIE) and Point information entropy density (PIED), for the case of R\'enyi entropy and simulate the behavior of PIG for typical…

Data Analysis, Statistics and Probability · Physics 2016-10-21 Renata Rychtáriková , Jan Korbel , Petr Macháček , Petr Císař , Jan Urban , Dmytro Soloviov , Dalibor Štys