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Explaining Behavioural Inequivalence Generically in Quasilinear Time [article]

Thorsten Wißmann, Stefan Milius, Lutz Schröder
2021 arXiv   pre-print
We provide a generic algorithm for constructing formulae that distinguish behaviourally inequivalent states in systems of various transition types such as nondeterministic, probabilistic or weighted; genericity  ...  For every behavioural equivalence class, we construct a formula which holds precisely at the states in that class.  ...  C O N C U R 2 0 2 1 29:32 Explaining Behavioural Inequivalence Generically in Quasilinear Time Remark to Notation A.9.  ... 
arXiv:2105.00669v1 fatcat:ufeioqmq75dblcug2akrf67p6u

Page 7213 of Mathematical Reviews Vol. , Issue 2002J [page]

2002 Mathematical Reviews  
Now, the continuous symmetries which have their generators in the centre of the Lie algebra can be factored out, leading therefore to a set of point inequivalent point trans- formations.  ...  Then Hydon proceeds in several stages, starting by factoring out the continuous sym- metries, arriving at a set of inequivalent automorphisms.  ... 

Dynamics and thermodynamics of systems with long-range interactions: interpretation of the different functionals

P. H. Chavanis, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, Francesco Sylos Labini
2008 AIP Conference Proceedings  
These two regimes can be explained by a kinetic theory, using an expansion of the BBGKY hierarchy in powers of 1/N, where N is the number of particles.  ...  We discuss the physical meaning of the different functionals appearing in the analysis: the Boltzmann entropy, the Lynden-Bell entropy, the "generalized" entropies arising in the reduced space of coarse-grained  ...  However, the converse is wrong in case of ensemble inequivalence.  ... 
doi:10.1063/1.2839131 fatcat:wi3aguzaardwpjxxsejq5wsmpq

Transverse spin relaxation and magnetic correlation in Pr1−xCaxMnO3: Influence of particle size variation and chemical doping

Vinay Kumar Shukla, Soumik Mukhopadhyay
2017 Journal of Applied Physics  
Irrespective of the crystallite size and dopant concentration, the transverse spin relaxation time (t_2) follows a universal scaling behaviour of the type t_2 (T/T_0)^n in the paramagnetic regime, where  ...  We conclude that the eventual suppression of charge ordering with reduction in particle size is possibly more to do with greater influence of chemical disorder than any intrinsic effect.  ...  reduction and pressure effects on manganites in general 9, 15 .  ... 
doi:10.1063/1.4977580 fatcat:eucnc6fagfcbxhhn4deqfgjmca

Inertial domain wall characterization in layered multisublattice antiferromagnets [article]

R. Rama-Eiroa, P. E. Roy, J. M. González, K. Y. Guslienko, J. Wunderlich, R. M. Otxoa
2022 arXiv   pre-print
The motion of a Néel-like 180^∘ domain wall induced by a time-dependent staggered spin-orbit field in the layered collinear antiferromagnet Mn_2Au is explored.  ...  This exhaustive dynamical characterization for different time-dependent regimes of the driving force is of potential interest in antiferromagnetic domain wall-based device applications.  ...  These ripples observed in the simulated DW velocity and width in the region III cause longer decay times than those predicted through a simple Newton-like pseudoparticle behaviour.  ... 
arXiv:2109.09003v2 fatcat:twu37hamsjgqrdzbacpm3bsx3y

The electrothermal conductance and heat capacity of black phosphorus

Parijat Sengupta, Saptarshi Das, Junxia Shi
2018 Journal of Chemical Physics  
The choice of BP lies in the predicted efficient thermolectric behaviour.  ...  The utility of such calculations lie in conversion of the heat production and an attendant temperature gradient in miniaturized devices to useful electric power and a possible realization of solid-state  ...  thermal behaviour.  ... 
doi:10.1063/1.5017682 pmid:29544322 fatcat:t4qjehuegjgndfpf2lrihfo7sa

Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source

O. O. Vaneeva, R. O. Popovych, C. Sophocleous
2008 Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications  
The set of admissible transformations of the imaged class is exhaustively described in the general case m2.  ...  A class of variable coefficient (1+1)-dimensional semilinear reaction-diffusion equations of the general form f(x)u_t=(g(x)u_x)_x+h(x)u^m (m0,1) is studied from the symmetry point of view in the framework  ...  For simplicity, biologists often use (1+1)-dimensional continuum model equations for the description of global behaviour in terms of particle density or concentration.  ... 
doi:10.1007/s10440-008-9280-9 fatcat:57jqhcpuqjhnlewl73heo2nwdq

Magnetic excitations in charge ordered

P. Thalmeier, A.N. Yaresko
2000 European Physical Journal B : Condensed Matter Physics  
In addition we calculate the field dependence of excitation modes in these models.  ...  We discuss several different exchange models which may be relevant for this compound, namely in- line and zig-zag chain models with weak as well as strong inter- chain coupling and also a ladder model  ...  They also show that below T c in the dimerized state two inequivalent V-sites exist.  ... 
doi:10.1007/pl00011054 fatcat:qihjf7kee5bx3h6jf2ymlbif5m

Relational particle models: II. Use as toy models for quantum geometrodynamics

Edward Anderson
2006 Classical and quantum gravity  
A quantity that is frozen in the scale invariant relational particle model is demonstrated to be an internal time in a certain portion of the relational particle reformulation of Newtonian mechanics.  ...  Relational particle models are employed as toy models for the study of the Problem of Time in quantum geometrodynamics. These models' analogue of the thin sandwich is resolved.  ...  time in direct analogy to the York time in GR.  ... 
doi:10.1088/0264-9381/23/7/017 fatcat:ph5jox4zefhtfnv7nb5kyhdmue

The Problem of Time in Quantum Gravity [article]

Edward Anderson
2012 arXiv   pre-print
The problem of time in quantum gravity occurs because 'time' is taken to have a different meaning in each of general relativity and ordinary quantum theory.  ...  This incompatibility creates serious problems with trying to replace these two branches of physics with a single framework in regimes in which neither quantum theory nor general relativity can be neglected  ...  in behaviour.  ... 
arXiv:1009.2157v3 fatcat:byhtf7woi5hphfcnsr2r33n5ce

Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction [article]

Jean-Baptiste Fouvry and Pierre-Henri Chavanis and Christophe Pichon
2020 arXiv   pre-print
undergo a kinetic blocking and cannot relax as a whole at this order in 1/N.  ...  The Balescu-Lenard kinetic equation generically describes this process sourced by 1/N effects but this kinetic operator exactly vanishes by symmetry for one-dimensional homogeneous systems: such systems  ...  Since in 1D the test particles acquire the distribution of the field particles (bath) whatever its distribution function (while this is true only for the Boltzmann distribution in 3D) this explains why  ... 
arXiv:2007.14685v1 fatcat:omeruagyevgmtarybj3avu6knm

Generalizations of Fourier analysis, and how to apply them [article]

W. T. Gowers
2016 arXiv   pre-print
This is a survey of the use of Fourier analysis in additive combinatorics, with a particular focus on situations where it cannot be straightforwardly applied, but needs to be generalized first.  ...  This article grew out of the Colloquium Lectures at the Joint Meeting of the AMS and the MAA, given in Seattle in January 2016.  ...  Loosely speaking, this tells us that there must be a quasilinear map that agrees a lot of the time with φ.  ... 
arXiv:1608.04127v1 fatcat:khiwtese5zfkvflqeu44mcbc4i

Global behaviour of nonlinear dispersive and wave equations [article]

Terence Tao
2006 arXiv   pre-print
We survey recent advances in the analysis of the large data global (and asymptotic) behaviour of nonlinear dispersive equations such as the nonlinear wave (NLW), nonlinear Schrödinger (NLS), wave maps  ...  least lack of decay in time); very recently there has been some progress in making this behaviour rigorous.  ...  Thus for short times we expect linear behaviour at both low and high frequencies, but for long times we expect nonlinear behaviour at low frequencies; in practice, this is reflected by the phenomenon that  ... 
arXiv:math/0608293v1 fatcat:5znpxubfgzajtgcg7wrz3ord3q

Global behaviour of nonlinear dispersive and wave equations

T. Tao
2006 Current Developments in Mathematics  
We survey recent advances in the analysis of the large data global (and asymptotic) behaviour of nonlinear dispersive equations such as the nonlinear wave (NLW), nonlinear Schrödinger (NLS), wave maps  ...  at least lack of decay in time); very recently there has been some progress in making this behaviour rigorous.  ...  Thus for short times we expect linear behaviour at both low and high frequencies, but for long times we expect nonlinear behaviour at low frequencies; in practice, this is reflected by the phenomenon that  ... 
doi:10.4310/cdm.2006.v2006.n1.a5 fatcat:66j7ainsyvayfetvarqebto4wa

Generalizations of Fourier analysis, and how to apply them

W. T. Gowers
2016 Bulletin of the American Mathematical Society  
This is a survey of the use of Fourier analysis in additive combinatorics, with a particular focus on situations where it cannot be straightforwardly applied but needs to be generalized first.  ...  This article grew out of the Colloquium Lectures at the Joint Meeting of the AMS and the MAA, given in Seattle in January 2016.  ...  Loosely speaking, this tells us that there must be a quasilinear map that agrees a lot of the time with φ.  ... 
doi:10.1090/bull/1550 fatcat:driyey5nzfbsvhlelfevnies7q
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