Results 81 to 90 of about 4,324 (212)

Effects of Colored Noise in the Dynamic Motions and Conformational Exploration of Enzymes

Foundations
The intracellular environment displays complex dynamics influenced by factors such as molecular crowding and the low Reynolds number of the cytoplasm. Enzymes exhibiting active matter properties further heighten this complexity which can lead to memory ...
Pedro Ojeda-May, Alexander Vergara
doaj   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Structural transition induced by a local chemical/mechanical perturbation in biomolecules

Condensed Matter Physics, 2023
Structural transition induced by a local conformational change in biomolecules is formulated based on the generalized Langevin theory for the structural fluctuation of a molecule in solution, and the linear response theory, derived by Kim and Hirata in ...
F. Hirata
doaj   +1 more source

General Langevin Equation and Anomaly [PDF]

Progress of Theoretical Physics Supplement, 1993
Within the framework of the stochastic quantization, Langevin equations for physical observables themselves are derived. We call them generalized Langevin equations. By using the generalized Langevin equations, chiral anomaly and conformal anomaly are der­ ived.
openaire   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Generalized nonlinear Langevin equation from quantum nonlinear projection operator

We systematically derive the quantum generalized nonlinear Langevin equation using Morozov\u27s projection operator method. This approach extends the linear Mori-Zwanzig projection operator technique, allowing for the inclusion of nonlinear interactions ...
Hu, Jin
core   +1 more source

On a generalization of fractional Langevin equation

, 2020
In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.
Kosari, Saeed, Yadollahzadeh, Milad, Shao, Zehui, Rao, Yongsheng   +3 more
openaire   +2 more sources

Data‐Driven Prediction of Block Copolymer Morphology Using Coarse‐Grained Modeling and Machine Learning

Journal of Polymer Science, EarlyView.
An integrated framework combining high‐throughput CG‐MD simulations, automated image‐based feature extraction, and supervised machine learning enables efficient, interpretable, and data‐driven prediction of block copolymer morphological behaviors.
Lan Xu, Zhaofan Li, Wenjie Xia
wiley   +1 more source

PIGLE — Particles Interacting in Generalized Langevin Equation simulator

, 2019
We present a package using Simulink and MATLAB to perform molecular dynamics simulations of interacting particles obeying a Generalized Langevin Equation.

core   +1 more source

Generalized Langevin equation with shear flow and its fluctuation-dissipation theorems derived from a Caldeira-Leggett Hamiltonian

, 2023
We provide a first-principles derivation of the Langevin equation with shear flow and its corresponding fluctuation-dissipation theorems. Shear flow of simple fluids has been widely investigated by numerical simulations.
Zaccone, Alessio, Alessio Zaccone, Sara Pelargonio, Pelargonio, Sara   +3 more
core   +1 more source