Transport Theory and Statistical Physics最新文献_第7页

Existence Result for the Kinetic Neutron Transport Problem with a General Albedo Boundary Condition 具有一般反照率边界条件的动能中子输运问题的存在性结果

Transport Theory and Statistical Physics Pub Date : 2011-09-01 DOI: 10.1080/00411450.2011.596607

R. Sánchez, L. Bourhrara

引用次数: 6

New Results in Abstract Time-Dependent Transport Equations 抽象时相关输运方程的新结果

Transport Theory and Statistical Physics Pub Date : 2011-09-01 DOI: 10.1080/00411450.2011.603402

M. Boulanouar

引用次数: 9

Theory of Evolution Systems Applied to a Cosmic Ray Diffusion Model 应用于宇宙射线扩散模型的进化系统理论

Transport Theory and Statistical Physics Pub Date : 2011-07-10 DOI: 10.1080/00411450.2011.563813

G. Busoni, L. Prati

引用次数: 0

Brownian Motion of Charged Particles Driven by Correlated Noise in Magnetic Field 磁场中相关噪声驱动带电粒子的布朗运动

Transport Theory and Statistical Physics Pub Date : 2011-07-10 DOI: 10.1080/00411450.2014.922480

V. Lisý, J. Tóthová

引用次数: 22

Solvability of a Two Dimensional Coefficient Inverse Problem for Transport Equation and a Numerical Method 输运方程二维系数反问题的可解性及数值方法

Transport Theory and Statistical Physics Pub Date : 2011-07-10 DOI: 10.1080/00411450.2010.529980

A. Amirov, Zekeriya Ustaoglu, Bayram Heydarov

引用次数: 3

Optimal -Control for the Global Cauchy Problem of The Relativistic Vlasov-Poisson System 相对论Vlasov-Poisson系统全局Cauchy问题的最优控制

Transport Theory and Statistical Physics Pub Date : 2010-11-10 DOI: 10.1080/00411450.2011.651032

Brent Young

引用次数: 4

Scaling with System Size of the Lyapunov Exponents for the Hamiltonian Mean Field Model 哈密顿平均场模型Lyapunov指数随系统大小的缩放

Transport Theory and Statistical Physics Pub Date : 2010-06-28 DOI: 10.1080/00411450.2011.651035

T. Manos, S. Ruffo

{"title":"Scaling with System Size of the Lyapunov Exponents for the Hamiltonian Mean Field Model","authors":"T. Manos, S. Ruffo","doi":"10.1080/00411450.2011.651035","DOIUrl":"https://doi.org/10.1080/00411450.2011.651035","url":null,"abstract":"The Hamiltonian Mean Field model is a prototype for systems with long-range interactions. It describes the motion of N particles moving on a ring, coupled with an infinite-range potential. The model has a second-order phase transition at the energy density Uc =3/4 and its dynamics is exactly described by the Vlasov equation in the N→∞ limit. Its chaotic properties have been investigated in the past, but the determination of the scaling with N of the Lyapunov Spectrum (LS) of the model remains a challenging open problem. Here we show that the N −1/3 scaling of the Maximal Lyapunov Exponent (MLE), found in previous numerical and analytical studies, extends to the full LS; scaling is “precocious” for the LS, meaning that it becomes manifest for a much smaller number of particles than the one needed to check the scaling for the MLE. Besides that, the N −1/3 scaling appears to be valid not only for U>Uc , as suggested by theoretical approaches based on a random matrix approximation, but also below a threshold energy Ut ≈0.2. Using a recently proposed method (GALI) devised to rapidly check the chaotic or regular nature of an orbit, we find that Ut is also the energy at which a sharp transition from weak to strong chaos is present in the phase-space of the model. Around this energy the phase of the vector order parameter of the model becomes strongly time dependent, inducing a significant untrapping of particles from a nonlinear resonance.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"40 1","pages":"360 - 381"},"PeriodicalIF":0.0,"publicationDate":"2010-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450.2011.651035","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58909528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 24

An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly 易碎细丝装配动力学的精确数值解

Transport Theory and Statistical Physics Pub Date : 2010-06-15 DOI: 10.1080/00411450.2012.671209

B. Ganapol

{"title":"An Accurate Numerical Solution to the Kinetics of Breakable Filament Assembly","authors":"B. Ganapol","doi":"10.1080/00411450.2012.671209","DOIUrl":"https://doi.org/10.1080/00411450.2012.671209","url":null,"abstract":"Proteinaceous aggregation occurs through self-assembly—a process not entirely understood. In a recent article, Knowles and colleagues (2009) presented an analytical theory for amyloid fibril growth via secondary rather than primary nucleation. Remarkably, with only a single kinetic parameter, the authors were able to unify growth characteristics for a variety of experimental data. In essence, they seem to have uncovered the underlying allometric law governing the evolution of filament elongation simply from two coupled nonlinear ordinary differential equations originally obtained from a master equation. While this work adds significantly to our understanding of filament self-assembly, it required an “approximate” analytical solution representation for the moments of the chain length distribution. If this were always true, the discovery of such scaling laws would be infrequent. Here, we show that the same results are found by purely numerical means. In addition, the numerical method used features a highly accurate solution strategy for the coupled Ordinary Differential Equations (ODEs) based only on a fundamental finite difference scheme and convergence acceleration. Once a reliable numerical solution has been established, a dimensional analysis then provides the scaling laws.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"41 1","pages":"153 - 174"},"PeriodicalIF":0.0,"publicationDate":"2010-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450.2012.671209","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58909625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Parametric Oscillations in Traveling Waves Tubes for Telecommunication Systems 通信系统行波管中的参数振荡

Transport Theory and Statistical Physics Pub Date : 2010-03-31 DOI: 10.1080/00411450.2011.563704

F. André

引用次数: 0

Breathing Dynamics for Systems of Interacting Particles in the Microcanonical and Canonical Descriptions 微规范与规范描述中相互作用粒子系统的呼吸动力学

Transport Theory and Statistical Physics Pub Date : 2010-03-31 DOI: 10.1080/00411450.2011.567857

A. Olivetti, J. Barré, B. Marcos, F. Bouchet, R. Kaiser

引用次数: 3