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Systems of reaction-diffusion partial differential equations (RD-PDEs) are widely applied for modelling life science and physico-chemical phenomena. In particular, the coupling between diffusion and nonlinear kinetics can lead to the…

Numerical Analysis · Mathematics 2019-03-13 Maria Chiara D'Autilia , Ivonne Sgura , Valeria Simoncini

Quantum batteries, which are quantum systems to be used for storage and transformation of energy, are attracting research interest recently. A promising candidate for their investigation is the Dicke model, which describes an ensemble of…

Quantum Physics · Physics 2024-02-13 S. S. Seidov , S. I. Mukhin

The electrical potential in a battery jumps at each electrode-electrolyte interface. We present a model for computing three-dimensional current and potential distributions, which accounts for such internal voltage jumps. Within the…

Accurate identification of lithium-ion (Li-ion) battery parameters is essential for managing and predicting battery behavior. However, existing discrete-time methods hinder the estimation of physical parameters and face the fast-slow…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Yang Wang , Riccardo M. G. Ferrari , Michel Verhaegen

Dynamic Hubbard models are extensions of the conventional Hubbard model that take into account the fact that atomic orbitals expand upon double occupancy. It is shown here that systems described by dynamic Hubbard models have a tendency to…

Strongly Correlated Electrons · Physics 2013-07-25 J. E. Hirsch

In this work a 1D finite volume based model using coupled meshes is introduced to capture potential and species distribution throughout the discharge process in a lithium bismuth liquid metal battery while neglecting hydrodynamic effects,…

Chemical Physics · Physics 2023-05-30 Carolina Duczek , Norbert Weber , Omar E. Godinez-Brizuela , Tom Weier

We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featuring non-local terms and another purely local, as a a result…

Probability · Mathematics 2016-01-21 Mikhail Neklyudov , Dario Trevisan

In this work, a stochastic, physics-based model for Lithium-ion batteries (LIBs) is presented in order to study the effects of parametric model uncertainties on the cell capacity, voltage, and concentrations. To this end, the proposed…

Computational Physics · Physics 2015-09-17 Mohammad Hadigol , Kurt Maute , Alireza Doostan

This paper proposes a hierarchical Bayesian model for probabilistic estimation of the electric vehicle battery capacity fade. Since the battery aging factors such as temperature, current, and state of charge are not fixed, and they change…

Systems and Control · Electrical Eng. & Systems 2019-11-05 Mehdi Jafari , Laura E. Brown , Lucia Gauchia

Cell proliferation and cell movement are fundamentally stochastic processes which lead to variability in the growth and spatial structure of cell populations in many biological settings, such as cell invasion, wound healing, and tumour…

Cell Behavior · Quantitative Biology 2026-04-23 John Carlo Dimaculangan , Cameron A. Smith , Christian A. Yates

The complex electrochemical behavior of lithium-ion batteries results in non-linear dynamics and appropriate modeling of this non-linear dynamical system is of interest for better management and control. In this work, we proposed a family…

Systems and Control · Electrical Eng. & Systems 2026-02-25 Khalid Mahmud Labib , Shabbir Ahmed

We investigate the spin-boson model's dynamical and thermodynamic features in the weak coupling regime using the weak coupling spin-boson (WCSB) and phase covariant (PC) master equations. Both unital (pure dephasing) and non-unital…

Quantum Physics · Physics 2025-12-01 Mahima Yadav , Devvrat Tiwari , Subhashish Banerjee

Achieving rapid and stable energy storage in quantum batteries (QBs) remains a key challenge, particularly under strong system-environment coupling where non-Markovian effects become prominent. While most previous studies focus on weak…

Quantum Physics · Physics 2026-04-30 Shun-Cai Zhao , Yi-Fan Yang , Ni-Ya Zhuang

Capacity degradation of lithium-ion batteries under long-term cyclic aging is modelled via a flexible sigmoidal-type regression set-up, where the regression parameters can be interpreted. Different approaches known from the literature are…

Applications · Statistics 2019-07-31 Marcus Johnen , Simon Pitzen , Udo Kamps , Maria Kateri , Dirk Uwe Sauer

We present a refined Mn-Zn-H$_2$O Pourbaix diagram with the emphasis on parameters relevant for the Zn/MnO$_2$ rechargeable cells. It maps out boundaries of electrochemical stability for MnO$_2$, ZnMn$_2$O$_4$, ZnMn$_3$O$_7$, and MnOOH. The…

Compact solid discharge products enable energy storage devices with high gravimetric and volumetric energy densities, but solid deposits on active surfaces can disturb charge transport and induce mechanical stress. In this Letter we develop…

Chemical Physics · Physics 2013-07-26 B. Horstmann , B. Gallant , R. Mitchell , W. G. Bessler , Y. Shao-Horn , M. Z. Bazant

All-solid-state batteries fail not only by bulk transport limits, but by a reactive interface that evolves during cycling. We show that degradation is governed by two coupled processes: interfacial breathing, the cycle-scale oscillation of…

Materials Science · Physics 2026-04-28 Changdeuck Bae

Over the long timescale of many charge/discharge cycles, gas formation can result in large bulging deformations of a Lithium-ion pouch cell, which is a key failure mechanism in batteries. Guided by recent experimental X-ray tomography data…

Soft Condensed Matter · Physics 2024-11-21 Andrea Giudici , Colin Please , Jon Chapman

This manuscript presents an algorithm for individual Lithium-ion (Li-ion) battery cell state of charge (SOC) estimation when multiple cells are connected in parallel, using only terminal voltage and total current measurements. For battery…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Dong Zhang , Luis D. Couto , Sebastien Benjamin , Wente Zeng , Daniel F. Coutinho , Scott J. Moura

Discrete-state stochastic models are a popular approach to describe the inherent stochasticity of gene expression in single cells. The analysis of such models is hindered by the fact that the underlying discrete state space is extremely…

Analysis of PDEs · Mathematics 2021-01-28 Pavel Kurasov , Delio Mugnolo , Verena Wolf
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