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The interpretation of data in terms of multi-parameter models of new physics, using the Bayesian approach, requires the construction of multi-parameter priors. We propose a construction that uses elements of Bayesian reference analysis. Our…

Data Analysis, Statistics and Probability · Physics 2011-08-03 Maurizio Pierini , Harrison B. Prosper , Sezen Sekmen , Maria Spiropulu

Discussed is kinematics and dynamics of bodies with affine degrees of freedom, i.e., homogeneously deformable "gyroscopes". The special stress is laid on the status and physical justification of affine dynamical invariance. On the basis of…

Mathematical Physics · Physics 2008-02-25 Jan J. Sławianowski

A simple and effective approach to thermodynamics is suggested, which solves the major difficulties in the traditional presentation of the subject. The internal energy is introduced from the behavior of deformable bodies, whereas the…

General Physics · Physics 2012-03-13 Rodrigo de Abreu , Vasco Guerra

Catalytically active macromolecules are envisioned as key building blocks in development of artificial nanomotors. However, theory and experiments report conflicting findings regarding their dynamics. The lack of consensus is mostly caused…

Statistical Mechanics · Physics 2022-09-15 Artem Ryabov , Mykola Tasinkevych

We derive a general formulation of the laws of irreversible thermodynamics in the presence of electromagnetism and gravity. For the handling of macroscopic material media, we use as a guide the field equations and the Noether identities of…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Romualdo Tresguerres

Generalised phase-space techniques for electromagnetic interactions beyond the rotating wave approximation [L.P. and S.S., arXiv:1104.3825 (2011)] is applied to interactions of distinguishable devices. The paper is built around the concept…

Quantum Physics · Physics 2015-07-31 L. I. Plimak , S. Stenholm

Recent advances in atomic and nano-scale growth and characterization techniques have led to the production of modern magnetic materials and magneto-devices which reveal a range of new fascinating phenomena. The modeling of these is a tough…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 S. Sanvito

Using the contemporary thermodynamic equations of elastic solids leads to contradictions with the fundamental statements of thermodynamics. Two examples are presented to expose the inconsistencies. In example one the internal energy between…

General Physics · Physics 2007-05-23 Jozsef Garai , Alexandre Laugier

Here, we present an overview of recent developments in the characterization of electromagnetic and quantum metamaterials using effective medium methods. It is highlighted that both electromagnetic and electronic systems can be homogenized…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Mario G. Silveirinha

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…

The usual approach to the development of new nonlinear dielectric materials focuses on the search for materials in which the components possess an inherently large nonlinear dielectric response. In contrast, based on thermodynamics, we have…

Materials Science · Physics 2009-11-10 J. P. Huang

This paper presents a conceptual model describing the medium and long-term co-evolution of natural and socio-economic subsystems of Earth. An economy is viewed as an out-of-equilibrium dissipative structure that can only be maintained with…

General Economics · Economics 2022-05-09 Éric Herbert , and Gael Giraud , Aurélie Louis-Napoléon , Christophe Goupil

The properties of supercritical fluids are dictated by intermolecular interactions that involve two or more molecules. Such intermolecular interactions were described via intermolecular potentials in historical supercritical combustion…

Chemical Physics · Physics 2024-05-21 Mingrui Wang , Ruoyue Tang , Xinrui Ren , Yanqing Cui , Song Cheng

An axiomatic approach to electrodynamics reveals that Maxwell electrodynamics is just one instance of a variety of theories for which the name electrodynamics is justified. They all have in common that their fundamental input are Maxwell's…

Mathematical Physics · Physics 2016-08-04 Christian Pfeifer , Daniel Siemssen

Active matter has been widely studied in recent years because of its rich phenomenology, whose mathematical understanding is still partial. We present some results, based on [8, 17] linking microscopic lattice gases to their macroscopic…

Mathematical Physics · Physics 2021-08-10 Clément Erignoux

Understanding the emergence and subsequent behavior of heavy electrons in Kondo lattice materials is one of the grand challenges in condensed matter physics. In this perspective we review the progress that has been made during the past…

Strongly Correlated Electrons · Physics 2017-01-10 Gilbert Lonzarich , David Pines , Yi-feng Yang

We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a degenerate dynamics, in the sense that the jump rates can…

Probability · Mathematics 2020-12-08 Oriane Blondel , Clément Cancès , Makiko Sasada , Marielle Simon

Particle filtering is a Bayesian inference method and a fundamental tool in state estimation for dynamic systems, but its effectiveness is often limited by the constraints of the initial prior distribution, a phenomenon we define as the…

Machine Learning · Statistics 2025-01-31 Yiwei Shi , Jingyu Hu , Yu Zhang , Mengyue Yang , Weinan Zhang , Cunjia Liu , Weiru Liu

The differential capacitance comprises the most relevant thermodynamic information about an electrochemical system. Classical approaches to describe electrochemical capacitance have difficulties to combine the treatment of the ionic…

Chemical Physics · Physics 2023-02-17 Tobias Binninger

At present there are two vastly different ab initio approaches to the description of the the many-body dynamics: the Density Functional Theory (DFT) and the functional integral (path integral) approaches. On one hand, if implemented…

Nuclear Theory · Physics 2014-11-20 Aurel Bulgac