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The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions. Complexity of the boundary conditions results in…

Analysis of PDEs · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

Vibrational dynamics governs the fundamental properties of molecular crystals, shaping their thermodynamics, mechanics, spectroscopy, and transport phenomena. However desirable, the first-principles calculation of solid-state vibrations,…

Materials Science · Physics 2025-03-25 Lorenzo Soprani , Andrea Giunchi , Marco Bardini , Quintin N. Meier , Gabriele D'Avino

The Frequency Response Functions (FRFs) are the most widely used functions to characterise the dynamic behaviour of structures. The natural frequencies and damping behaviour can be easily and quickly detected from a Bode diagram. The modal…

Classical Physics · Physics 2024-04-09 Dario Di Maio

Anharmonic vibrational calculations can already be computationally demanding for relatively small molecules. The main bottlenecks lie in the construction of the potential energy surface and in the size of the excitation space in the…

Chemical Physics · Physics 2016-05-05 Pawel T. Panek , Christoph R. Jacob

Anharmonic lattice vibrations play a key role in many physical phenomena. They govern the heat conductivity of solids, strongly affect the phonon spectra, play a prominent role in soft mode phase transitions, allow ultrafast engineering of…

Materials Science · Physics 2026-02-12 Gili Scharf , Tomer Hasharoni , Lara Donval , Leah Ben Gur , Alon Ron

We propose a general method for predicting potentially good folders from a given number of amino acid sequences. Our approach is based on the calculation of the rate of convergence of each amino acid chain towards the native structure using…

Biological Physics · Physics 2013-02-07 Dmitry K. Gridnev , Pedro Ojeda-May , Martin E. Garcia

The multimode Brownian model with nonlinear system-bath coupling offers a flexible framework for studying both intra- and intermolecular vibrational modes in condensed-phase molecular systems. This approach allows us to calculate linear and…

Chemical Physics · Physics 2025-12-30 Ryotaro Hoshino , Yoshitaka Tanimura

We present a first-principles machine-learning computational framework to investigate anharmonic effects in polarization-orientation (PO) Raman spectra of molecular crystals, focusing on anthracene and naphthalene. By combining machine…

Materials Science · Physics 2026-01-15 Paolo Lazzaroni , Shubham Sharma , Mariana Rossi

In addition to thermal noise, which is essential to promote conformational transitions in biopolymers, cellular environment is replete with a spectrum of athermal fluctuations that are produced from a plethora of active processes. To…

Biological Physics · Physics 2015-06-11 Won Kyu Kim , Changbong Hyeon , Wokyung Sung

Molecular adsorbates on metal surfaces exchange energy with substrate phonons and low-lying electron-hole pair excitations. In the limit of weak coupling, electron-hole pair excitations can be seen as exerting frictional forces on…

Materials Science · Physics 2016-09-28 Reinhard J. Maurer , Mikhail Askerka , Victor S. Batista , John C. Tully

The natural vibrational frequencies of biological particles such as viruses and bacteria encode critical information about their mechanical and biological states as they interact with their local environment and undergo structural…

Biological Physics · Physics 2025-01-24 Yaqing Zhang , Rihan Wu , Md Shahjahan , Canchai Yang , Dohun Pyeon , Elad Harel

Anharmonic lattice vibrations govern the thermal dynamics in materials and present how the atoms interact and how they conduct heat. An indepth understanding of the microscopic mechanism of phonon anharmonicity in condensed systems is…

Materials Science · Physics 2021-12-30 Bin Wei , Qiyang Sun , Chen Li , Jiawang Hong

Effective harmonic methods allow for calculating temperature dependent phonon frequencies by incorporating the anharmonic contributions into an effective harmonic Hamiltonian. The systematic errors arising from such an approximation are…

Materials Science · Physics 2019-06-05 Erki Metsanurk , Mattias Klintenberg

A recent proposal for practical calculation of vibrational mode lifetimes is tested on simple, low-dimensional anharmonic models. The proposed scheme approximates the mode lifetime in terms of ensemble averages of specific functions in…

Statistical Mechanics · Physics 2013-04-26 Yang Gao , Doyl Dickel , David Harrison , Murray S. Daw

This article focuses on the prediction of the vibration frequency response of handheld probes. A novel approach that involves machine learning and readily available data from probes was explored. Vibration probes are efficient and…

Applied Physics · Physics 2024-02-09 Roberto San Millán-Castillo , Eduardo Morgado , Rebeca Goya Esteban

In this paper, low-order models of the frequency and voltage response of mixed-generation, low-inertia systems are presented. These models are unique in their ability to efficiently and accurately model frequency and voltage dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Marena Trujillo , Amir Sajadi , Jonathan Shaw , Bri-Mathias Hodge

High-precision optical frequency measurement is indispensable to modern science and technology, yet conventional spectroscopic techniques struggle to resolve sub-linewidth spectral features. We introduce a unique platform for…

We show how frequency fluctuations of a vibrational mode can be separated from other sources of phase noise. The method is based on the analysis of the time dependence of the complex amplitude of forced vibrations. The moments of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Z. A. Maizelis , M. L. Roukes , M. I. Dykman

As a step towards a more realistic modeling of vibrations in single-molecule devices, we investigate the effects of charge-dependent vibrational frequencies and anharmonic potentials on electronic transport. For weak phonon relaxation, we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , Felix von Oppen

During the noisy intermediate-scale quantum (NISQ) era, quantum computational approaches refined to overcome the challenge of limited quantum resources are highly valuable. However, the accuracy of the molecular properties predicted by most…

Quantum Physics · Physics 2023-12-20 Shih-Kai Chou , Jyh-Pin Chou , Alice Hu , Yuan-Chung Cheng , Hsi-Sheng Goan