Data-driven ordinary-differential-equation modeling of high-frequency complex dynamics via a low-frequency dynamics model [0.03%]
通过低频动态模型对高频复杂动态进行数据驱动的常微分方程建模
Natsuki Tsutsumi,Kengo Nakai,Yoshitaka Saiki
Natsuki Tsutsumi
In our previous paper [N. Tsutsumi et al., Chaos 32, 091101 (2022)10.1063/5.0100166], we proposed a method for constructing a system of differential equations of chaotic behavior from only observable deterministic time series, which we call...
L A Williamson
L A Williamson
We show that the conventional Jarzynski equality does not hold for a system prepared in a microcanonical ensemble. We derive a modified equality that connects microcanonical work fluctuations to entropy production, in an analogous way to th...
Colored stochastic multiplicative processes with additive noise unveil a third-order partial differential equation, defying conventional Fokker-Planck equation and Fick-law paradigms [0.03%]
带加性噪声的有色随机乘性过程揭示了一个三阶偏微分方程，挑战了传统的福克-普朗克方程和菲克定律范式
Marco Bianucci,Mauro Bologna,Riccardo Mannella
Marco Bianucci
Research on stochastic differential equations (SDEs) involving both additive and multiplicative noise has been extensive. In cases where the primary process is driven by a multiplicative stochastic process, additive white noise typically re...
Pedro B Melo,Sílvio M Duarte Queirós,Welles A M Morgado
Pedro B Melo
In this manuscript, we investigate the stochastic thermodynamics of Fisher information (FI), meaning we characterize both the fluctuations of FI, introducing a statistics of that quantity, and thermodynamic quantities. We introduce two init...
Fluctuation-response relation in nonequilibrium systems and active matter [0.03%]
非平衡系统和活性物质中的涨落-响应关系
T R Kirkpatrick,D Belitz
T R Kirkpatrick
We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation theore...
Asymptotic integrability and Hamilton theory of soliton motion along large-scale background waves [0.03%]
关于大尺度背景波上孤子运动的渐进可积性及Hamilton理论
A M Kamchatnov
A M Kamchatnov
We consider the problem of soliton mean-field interaction for the class of asymptotically integrable equations, where the notion of asymptotic integrability means that the Hamilton equations for a high-frequency wave packet's propagation al...
Kink-kink solutions in Bogomol'nyi-Prasad-Sommerfield impurity models [0.03%]
波戈莫尔尼-普拉萨德-索末菲杂质模型中的挠结-挠结解
K Sławińska
K Sławińska
We show that BPS-impurity theories may support BPS kink-kink solutions, i.e., an energetically degenerated family of solutions describing two kinks at any mutual distance. This requires a singular impurity. As an example we consider the sin...
Ergodicity breaking and restoration in models of heat transport with microscopic reversibility [0.03%]
具有微观可逆性的热传输模型中的遍历性破坏和恢复
Piero Olla
Piero Olla
The behavior of lattice models in which time reversibility is enforced at the level of trajectories (microscopic reversibility) is studied analytically. Conditions for ergodicity breaking are explored, and a few examples of systems characte...
Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator [0.03%]
用于冷却和捕获量子谐振子的连续反馈协议
Guilherme De Sousa,Pharnam Bakhshinezhad,Björn Annby-Andersson et al.
Guilherme De Sousa et al.
Quantum technologies and experiments often require preparing systems in low-temperature states. Here we investigate cooling schemes using feedback protocols modeled with a quantum Fokker-Planck master equation (QFPME) recently derived by An...
N Mahashri,Thomas E Woolley,M Chandru
N Mahashri
Isolated patterning systems have been repeatedly investigated. However, biological systems rarely work on their own. This paper presents a theoretical and quantitative analysis of a two-domain interconnected geometry, or bilayer, coupling t...