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Linear response theory is a fundamental framework studying the macroscopic response of a physical system to an external perturbation. This paper focuses on the rigorous mathematical justification of linear response theory for Langevin…

Analysis of PDEs · Mathematics 2024-08-27 Yuan Gao , Jian-Guo Liu , Zibu Liu

The non-Markovian nature of polymer motions is accounted for in folding kinetics, using frequency-dependent friction. Folding, like many other problems in the physics of disordered systems, involves barrier crossing on a correlated energy…

Statistical Mechanics · Physics 2009-10-30 Steven S. Plotkin , Peter G. Wolynes

We use the thread model for linear chains of interacting monomers, and the ``polymer reference interaction site model'' (PRISM) formalism to determine the monomer-monomer pair correlation function $h_{mm}(r)$ for dilute and semi-dilute…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , B. Rotenberg , J. -P. Hansen

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

Despite the long-recognized fact that chemical structure and specific interactions greatly influence the thermodynamic properties of polymer systems, a predictive molecular theory that enables systematically addressing the role of chemical…

Soft Condensed Matter · Physics 2015-06-22 Wen-Sheng Xu , Karl F. Freed

The complex Langevin method is a promising approach to the complex-action problem based on a fictitious time evolution of complexified dynamical variables under the influence of a Gaussian noise. Although it is known to have a restricted…

High Energy Physics - Lattice · Physics 2017-01-04 Keitaro Nagata , Jun Nishimura , Shinji Shimasaki

Active polymers are driven out of equilibrium by internal forces and exhibit conformational properties that differ fundamentally from those of passive chains. Here we study how spatially modulated tangential activity reshapes the…

Soft Condensed Matter · Physics 2025-12-17 Paolo Malgaretti , Emanuele Locatelli

Particle-based stochastic reaction-diffusion (PBSRD) models are a popular approach for capturing stochasticity in reaction and transport processes across biological systems. In some contexts, the overdamped approximation inherent in such…

Biological Physics · Physics 2025-06-17 Samuel A. Isaacson , Qianhan Liu , Konstantinos Spiliopoulos , Chen Yao

In this article we derive the effective pairwise interactions in a Langevin type united atoms model of water. The interactions are determined from the trajectories of a detailed molecular dynamics simulation of simple point charge water. A…

Computational Physics · Physics 2015-05-13 Anders Eriksson , Martin Nilsson Jacobi , Johan Nystrom , Kolbjorn Tunstrom

We present the reaction-coordinate polaron-transform (RCPT) framework for generating effective Hamiltonian models to treat nonequilibrium open quantum systems at strong coupling with their surroundings. Our approach, which is based on two…

Quantum Physics · Physics 2022-11-11 Nicholas Anto-Sztrikacs , Ahsan Nazir , Dvira Segal

The blossoming of interest in colloids and nano-particles has given renewed impulse to the study of hard-body systems. In particular, hard spheres have become a real test system for theories and experiments. It is therefore necessary to…

Computational Physics · Physics 2012-08-28 Antonio Scala

Deploying learned control policies in real-world environments poses a fundamental challenge. When system dynamics change unexpectedly, performance degrades until models are retrained on new data. We introduce Reflexive World Models (RWM), a…

Machine Learning · Computer Science 2025-05-22 Carlos Stein Brito , Daniel McNamee

Complex microscopic many-body processes are often interpreted in terms of so-called `reaction coordinates', i.e. in terms of the evolution of a small set of coarse-grained observables. A rigorous method to produce the equation of motion of…

Statistical Mechanics · Physics 2019-05-22 Hugues Meyer , Thomas Voigtmann , Tanja Schilling

We propose a new sensitivity analysis methodology for complex stochastic dynamics based on the Relative Entropy Rate. The method becomes computationally feasible at the stationary regime of the process and involves the calculation of…

Mathematical Physics · Physics 2013-04-16 Yannis Pantazis , Markos A. Katsoulakis

We show how reaction coordinate path lengths affect the relaxation efficiency of a complex system. To this purpose, we consider the metric contributions to the transition rates. These metric contributions preserve informations about the…

Chemical Physics · Physics 2009-11-07 F. Despa , R. S. Berry

We investigate modifications of a stochastic polymer picture through a shift in the boundary between the system and an external environment. A conventional bead-and-spring model serving as the coarse-graining model is given by the Langevin…

Soft Condensed Matter · Physics 2022-01-12 Takuya Saito

The efficient and economical exploitation of polymers with high thermal conductivity is essential to solve the issue of heat dissipation in organic devices. Currently, the experimental preparation of functional thermal conductivity polymers…

Materials Science · Physics 2024-02-16 Xiang Huang , Shengluo Ma , C. Y. Zhao , Hong Wang , Shenghong Ju

We study the interplay of intrinsic-electronic and environmental factors on long-range charge transport across molecular chains with up to $N\sim 80$ monomers. We describe the molecular electronic structure of the chain with a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Francisco Lai Liang , Dvira Segal

We study the driven translocation of a flexible polymer through an interacting conical pore using Langevin dynamics simulations. We find that, for a fixed value of externally applied force and pore polymer interaction strength, the mean…

Soft Condensed Matter · Physics 2021-02-17 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

The understanding of the statistical properties and of the dynamics of multistable systems is gaining more and more importance in a vast variety of scientific fields. This is especially relevant for the investigation of the tipping points…

Atmospheric and Oceanic Physics · Physics 2011-09-06 Valerio Lucarini , Davide Faranda , Matteo Willeit
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