Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015069500
M. V. Feigel’man, L. Ioffe
The analytical theory of slow relaxation of the Ising and vector 3-D spin glasses with the finite range interaction near the freezing transition point T f has been developed. In the Ising case, the maximum relaxation time t max increases as t max ∼(T−T f ) −6 exp[C(T−T f ) −1/4 ]. For the Heisenberg spins t max ∼(T−T f ) −10.5 . It is shown that the inclusion of weak random-anisotropy exchange leads to the Ising asymptotics for t max in the Heisenberg spin glass Theorie analytique de la relaxation lente des verres de spin 3D vectoriels et de ceux d'Ising avec interaction de portee finie pres du point de transition de gel. Croissance du temps maximal de relaxation suivant (T-T f ) −6 exp(C(T−T f ) −1/4 ) dans le cas d'Ising et suivant (T−T f ) −10,5 dans le cas de Heisenberg. Par inclusion de l'echange d'anisotropie faible aleatoire, obtention d'un comportement asymptotique d'Ising pour les verres de spin d'Heisenberg
{"title":"Critical relaxation in three-dimensional spin glasses","authors":"M. V. Feigel’man, L. Ioffe","doi":"10.1051/JPHYSLET:019850046015069500","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015069500","url":null,"abstract":"The analytical theory of slow relaxation of the Ising and vector 3-D spin glasses with the finite range interaction near the freezing transition point T f has been developed. In the Ising case, the maximum relaxation time t max increases as t max ∼(T−T f ) −6 exp[C(T−T f ) −1/4 ]. For the Heisenberg spins t max ∼(T−T f ) −10.5 . It is shown that the inclusion of weak random-anisotropy exchange leads to the Ising asymptotics for t max in the Heisenberg spin glass Theorie analytique de la relaxation lente des verres de spin 3D vectoriels et de ceux d'Ising avec interaction de portee finie pres du point de transition de gel. Croissance du temps maximal de relaxation suivant (T-T f ) −6 exp(C(T−T f ) −1/4 ) dans le cas d'Ising et suivant (T−T f ) −10,5 dans le cas de Heisenberg. Par inclusion de l'echange d'anisotropie faible aleatoire, obtention d'un comportement asymptotique d'Ising pour les verres de spin d'Heisenberg","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"22 1","pages":"695-702"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81626100","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046016073700
J. Bobin, M. Zaibi
Rate equations are investigated numerically. They evidence the importance at the beginning of ionization kinetics, of collisions between excited atomic species. Specially, energy pooling fills the 4D and 5S levels and consequently induces a strong population inversion. The transient inversion always takes place in the process which leads to complete ionization Un traitement numerique des equations d'evolution montre l'importance, pour le debut de la cinetique d'ionisation, des collisions entre especes atomiques excitees. En particulier, le processus d'«energy pooling» peuple fortement les niveaux 5S et 4D entrainant ainsi une forte densite d'inversion de population. Celle-ci apparait toujours mais de facon transitoire dans le processus qui conduit a l'ionisation complete
{"title":"Inversions de population lors de la création, par interaction laser résonnante, de plasmas complètement ionisés","authors":"J. Bobin, M. Zaibi","doi":"10.1051/JPHYSLET:019850046016073700","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046016073700","url":null,"abstract":"Rate equations are investigated numerically. They evidence the importance at the beginning of ionization kinetics, of collisions between excited atomic species. Specially, energy pooling fills the 4D and 5S levels and consequently induces a strong population inversion. The transient inversion always takes place in the process which leads to complete ionization Un traitement numerique des equations d'evolution montre l'importance, pour le debut de la cinetique d'ionisation, des collisions entre especes atomiques excitees. En particulier, le processus d'«energy pooling» peuple fortement les niveaux 5S et 4D entrainant ainsi une forte densite d'inversion de population. Celle-ci apparait toujours mais de facon transitoire dans le processus qui conduit a l'ionisation complete","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"34 1","pages":"737-744"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88462475","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015065900
A. Baumgärtner
Exact calculations and enumerations of systems of hard rigid rods distributed at closed packed density on L×L square lattices, where each rod occupies N ≤11/36 for L/N>2 and decreases continuously with increasing size of the system L/N for all N. The entropy per rod of our systems behaves as S N α N −1 ×ln N as N→∞. Hard rods on cubic lattices are also briefly considered. Some implications of our results are discussed with respect to liquid crystals, polymeric liquid crystals and current theories of polymer melting On presente des calculs exacts et des resultats d'enumeration pour des barres rigides distribuees a densite maximale sur des reseaux carres L×L. Chaque barre occupe N ≤11/36 pour L/N>2 et decroit continuement pour tout N lorsque le rapport L/N augmente. L'entropie par barre de nos systemes se comporte comme S N -N −1 Log N lorsque N→∞. Les barres rigides sur des reseaux cubiques sont aussi discutees. On considere quelques consequences de ces resultats sur la physique des cristaux liquides, des cristaux liquides polymeriques et sur les theories actuelles de la fusion des polymeres
精确计算和枚举了在L×L方格上以封闭堆积密度分布的硬刚性棒系统,其中每根棒在L/N bbbb2中占据N≤11/36,并且随着系统L/N的增大而不断减小。我们的系统的每根棒的熵表现为S N α N−1 ×ln N为N→∞。还简要地考虑了立方晶格上的硬杆。本文讨论了本研究结果对液晶、聚合物液晶和当前聚合物熔融理论的一些影响,并给出了计算结果和计算结果,计算结果与计算结果一致,计算结果与计算结果一致,计算结果与计算结果一致。压杆占用N≤11/36,压杆占用N≤11/36,压杆占用N≤11/36,压杆占用2,压杆占用N≤11/36,压杆占用N≤11/36,压杆占用N≤11/36,压杆占用N≤11/36,压杆占用N≤11/36。L'entropie par barre de nos系统是comte comcoms N -N−1 Log N (N→∞)。Les barres rigides sur des reseaux cubiques是一种典型的立方体。在考虑聚合效应的基础上,我们得到了聚合体的聚合体,聚合体的聚合体,聚合体的聚合体的聚合体
{"title":"Hard rods on lattices","authors":"A. Baumgärtner","doi":"10.1051/JPHYSLET:019850046015065900","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015065900","url":null,"abstract":"Exact calculations and enumerations of systems of hard rigid rods distributed at closed packed density on L×L square lattices, where each rod occupies N ≤11/36 for L/N>2 and decreases continuously with increasing size of the system L/N for all N. The entropy per rod of our systems behaves as S N α N −1 ×ln N as N→∞. Hard rods on cubic lattices are also briefly considered. Some implications of our results are discussed with respect to liquid crystals, polymeric liquid crystals and current theories of polymer melting On presente des calculs exacts et des resultats d'enumeration pour des barres rigides distribuees a densite maximale sur des reseaux carres L×L. Chaque barre occupe N ≤11/36 pour L/N>2 et decroit continuement pour tout N lorsque le rapport L/N augmente. L'entropie par barre de nos systemes se comporte comme S N -N −1 Log N lorsque N→∞. Les barres rigides sur des reseaux cubiques sont aussi discutees. On considere quelques consequences de ces resultats sur la physique des cristaux liquides, des cristaux liquides polymeriques et sur les theories actuelles de la fusion des polymeres","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"10 1","pages":"659-666"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78977073","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015068900
M. Benhamou, G. Mahoux
The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in e = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (e = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe.
在e = 4 - d (d为空间维数)条件下,给出了孤立长链的旋转半径与端到端距离均方的比值为二阶。我们的计算方法是基于J. des Cloizeaux引入的直接重整化思想。在三维(e = 1)中,我们的结果可以与C. Domb和F. F. Hioe的计算机实验结果进行比较。
{"title":"Long polymers in good solvent : ε-expansion of the ratio of the radius of gyration to the end to end distance","authors":"M. Benhamou, G. Mahoux","doi":"10.1051/JPHYSLET:019850046015068900","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015068900","url":null,"abstract":"The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in e = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (e = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe.","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"45 1","pages":"689-693"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72992283","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015070300
S. Olszewski
A standard perturbation calculation is performed for a set of q degenerate states whose perturbation is a strongly localized impurity. The free-electron approximation and the LCAO approximation for the electron states are considered. The calculation which seems not to have been done before shows that there is precisely no change in the energy for q−1 states but a strong shift of energy for one state. This effect is fully independent of the size of the perturbation potential providing the perturbation calculation is applicable. At the same time the wave function corresponding to the shifted state is not a damped state but a simple superposition of the unperturbed band states. For a crystal having a spherical shape it can be shown that the charge distribution of the shifted state has an oscillatory decrease with the distance from the position of the impurity Calcul de perturbation standard pour un ensemble de q etats degeneres perturbes par une impurete fortement localisee, a l'approximation des electrons libres et a l'approximation LCAO: un des etats est fortement perturbe en energie alors que les (q−1) autres ne le sont pas, independamment de la taille du potentiel perturbateur, et l'etat deplace n'est pas localise mais est une combinaison d'etats de bande non perturbes
{"title":"Degeneracy of the crystal states and departure from the rigid band model for a strongly localized impurity","authors":"S. Olszewski","doi":"10.1051/JPHYSLET:019850046015070300","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015070300","url":null,"abstract":"A standard perturbation calculation is performed for a set of q degenerate states whose perturbation is a strongly localized impurity. The free-electron approximation and the LCAO approximation for the electron states are considered. The calculation which seems not to have been done before shows that there is precisely no change in the energy for q−1 states but a strong shift of energy for one state. This effect is fully independent of the size of the perturbation potential providing the perturbation calculation is applicable. At the same time the wave function corresponding to the shifted state is not a damped state but a simple superposition of the unperturbed band states. For a crystal having a spherical shape it can be shown that the charge distribution of the shifted state has an oscillatory decrease with the distance from the position of the impurity Calcul de perturbation standard pour un ensemble de q etats degeneres perturbes par une impurete fortement localisee, a l'approximation des electrons libres et a l'approximation LCAO: un des etats est fortement perturbe en energie alors que les (q−1) autres ne le sont pas, independamment de la taille du potentiel perturbateur, et l'etat deplace n'est pas localise mais est une combinaison d'etats de bande non perturbes","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"87 5-6","pages":"703-709"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91495453","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015067500
P. Bernier, M. Audenaert, R. J. Schweizer, P. Stein, D. Jérome, K. Bechgaard, A. Moradpour
We report the results of 13 C NMR magic angle spinning experiments performed on the TMTSF molecule (in solution and in the solid state) and in the organic conductor (TMTSF) 2 ClO 4 . This investigation (Knight-shift, T 1 and T 1ρ ) has allowed to resolve all individual sites of the organic molecule. Strong and widely distributed enhancements of the relaxation rate of the nuclear spin on different sites of the molecule suggest a picture where Coulomb correlations play a major role for the sites at the corners of the molecule Etude de la RMN de 13 C, avec rotation a l'angle magique, pour la molecule TMTSF, en solution et a l'etat solide, et le conducteur organique. Identification de tous les sites individuels de la molecule a partir du deplacement de Kinght, de T 1 et T 1ρ . Observation d'une large distribution et d'une forte augmentation du taux de relaxation des spins des differents sites en relation avec le role important joue par les interactions coulombiennes
本文报道了在TMTSF分子(溶液和固态)和有机导体(TMTSF) 2clo4上进行的13c核磁共振魔角旋转实验的结果。这项研究(Knight-shift, t1和t1 ρ)可以解析有机分子的所有单个位点。在分子的不同位置上,核自旋弛豫速率的强而广泛的增强表明,库仑相关在分子角上的位置起主要作用,如Etude de la RMN de 13 C, avec旋转和l'角魔术,倒la分子TMTSF,溶液和l'角固体,以及导体组织。两个位置的识别,单个分子的识别,部分分子的替换,T 1和T 1ρ。观察到不同位置的自旋在关系中的大分布和强增强,以及重要的焦耳粒子相互作用的库仑比恩
{"title":"High resolution 13C NMR investigation in the organic conductor : (TMTSF)2ClO4","authors":"P. Bernier, M. Audenaert, R. J. Schweizer, P. Stein, D. Jérome, K. Bechgaard, A. Moradpour","doi":"10.1051/JPHYSLET:019850046015067500","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015067500","url":null,"abstract":"We report the results of 13 C NMR magic angle spinning experiments performed on the TMTSF molecule (in solution and in the solid state) and in the organic conductor (TMTSF) 2 ClO 4 . This investigation (Knight-shift, T 1 and T 1ρ ) has allowed to resolve all individual sites of the organic molecule. Strong and widely distributed enhancements of the relaxation rate of the nuclear spin on different sites of the molecule suggest a picture where Coulomb correlations play a major role for the sites at the corners of the molecule Etude de la RMN de 13 C, avec rotation a l'angle magique, pour la molecule TMTSF, en solution et a l'etat solide, et le conducteur organique. Identification de tous les sites individuels de la molecule a partir du deplacement de Kinght, de T 1 et T 1ρ . Observation d'une large distribution et d'une forte augmentation du taux de relaxation des spins des differents sites en relation avec le role important joue par les interactions coulombiennes","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"304 1","pages":"675-681"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76330613","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}
Pub Date : 1985-08-01DOI: 10.1051/JPHYSLET:019850046015071100
H. Brand, H. Pleiner
We discuss the phase transitions which can occur between two different cholesteric phases and we present general symmetry arguments why this transition has to be always of the first order. We derive the macroscopic dynamics close to the phase transition and we propose an experiment to shift the critical temperature which makes use of a novel reversible cross coupling between the order parameter of the transition and inhomogeneous rotations Discussion sur les transitions pouvant apparaitre entre deux phases cholesteriques. On montre par des arguments de symetrie generale que cette transition doit toujours etre du premier ordre
我们讨论了可能发生在两种不同胆甾相之间的相变,并提出了一般的对称性论点,为什么这种相变必须总是一级的。我们推导了接近相变的宏观动力学,并提出了一种利用相变序参量与非均匀旋转之间的一种新的可逆交叉耦合来改变临界温度的实验。在montre par des arguments de symtrie generale que ette transition doit toujours three du premier order
{"title":"Cholesteric to cholesteric phase transitions in liquid crystals","authors":"H. Brand, H. Pleiner","doi":"10.1051/JPHYSLET:019850046015071100","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046015071100","url":null,"abstract":"We discuss the phase transitions which can occur between two different cholesteric phases and we present general symmetry arguments why this transition has to be always of the first order. We derive the macroscopic dynamics close to the phase transition and we propose an experiment to shift the critical temperature which makes use of a novel reversible cross coupling between the order parameter of the transition and inhomogeneous rotations Discussion sur les transitions pouvant apparaitre entre deux phases cholesteriques. On montre par des arguments de symetrie generale que cette transition doit toujours etre du premier ordre","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"162 1","pages":"711-718"},"PeriodicalIF":0.0,"publicationDate":"1985-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80228256","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}
Pub Date : 1985-07-01DOI: 10.1051/JPHYSLET:019850046013060100
P. Kalugin, A. Kitayev, L. Levitov
The general properties of the phases with the icosahedral point group and long-range orientational order are considered. 6 Goldstone modes ― 3 phonons and 3 phasons ― are shown to exist. A model for the microscopic structure ― a 6-D crystal ― is proposed, and phason modes are discussed in this framework. Bravais lattice types are determined and some physical phenomena due to the peculiar AlMn dimension 6 are listed. Simple Landau-theory type arguments for advantages of icosahedral structure are put forward Les proprietes generales des phases presentant un groupe ponctuel icosaedrique et un ordre orientationnel a grande distance sont etudiees ici. On montre l'existence de six modes de Goldstone ― 3 phonons et 3 phasons. Un modele pour la structure microscopique, cristalline dans un espace a six dimensions est propose et les modes phasons sont discutes dans ce cadre. Des reseaux de Bravais sont determines et certains phenomenes physiques de AlMn due a cette dimensions six sont soulignes. Des arguments simples, du type de la theorie de Landau, montrent pourquoi la structure icosaedrique est favorisee
考虑了具有二十面体点群和长程取向序的相的一般性质。6种戈德斯通模式——3个声子和3个相子——被证明存在。提出了一种微观结构模型——六维晶体,并在此框架下讨论了相模。确定了Bravais晶格类型,并列举了由于特殊的AlMn维数6而引起的一些物理现象。对二十面体结构的优越性提出了简单的朗道理论类型的论证,提出了二十面体结构相的一般性质、二十面体结构相的一般性质、二十面体结构相的一般性质、二十面体结构相的一般性质、二十面体结构相的一般性质、二十面体结构相的一般性质和二十面体结构相的一般性质。戈德斯通的六模存在论——3个声子和3个相子。在微观结构模型下,六维空间下的晶体结构,提出了六维空间下晶体结构的模态、模态和模态。《勇敢的研究》(Des reseaux de Bravais sont)决定了某些现象的物理性质(physiques de AlMn),这是由于一个小的维度,六个songliignes。论点简单,论点简单,论点简单,论点简单,论点简单,论点简单
{"title":"6-dimensional properties of Al0.86Mn0.14 alloy","authors":"P. Kalugin, A. Kitayev, L. Levitov","doi":"10.1051/JPHYSLET:019850046013060100","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046013060100","url":null,"abstract":"The general properties of the phases with the icosahedral point group and long-range orientational order are considered. 6 Goldstone modes ― 3 phonons and 3 phasons ― are shown to exist. A model for the microscopic structure ― a 6-D crystal ― is proposed, and phason modes are discussed in this framework. Bravais lattice types are determined and some physical phenomena due to the peculiar AlMn dimension 6 are listed. Simple Landau-theory type arguments for advantages of icosahedral structure are put forward Les proprietes generales des phases presentant un groupe ponctuel icosaedrique et un ordre orientationnel a grande distance sont etudiees ici. On montre l'existence de six modes de Goldstone ― 3 phonons et 3 phasons. Un modele pour la structure microscopique, cristalline dans un espace a six dimensions est propose et les modes phasons sont discutes dans ce cadre. Des reseaux de Bravais sont determines et certains phenomenes physiques de AlMn due a cette dimensions six sont soulignes. Des arguments simples, du type de la theorie de Landau, montrent pourquoi la structure icosaedrique est favorisee","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"6 1","pages":"601-607"},"PeriodicalIF":0.0,"publicationDate":"1985-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87505481","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}
Pub Date : 1985-07-01DOI: 10.1051/JPHYSLET:019850046014062300
G. Weisbuch, F. Fogelman-Soulié
Networks of threshold automata are random dynamical systems with a large number of attractors, which J. Hopfield proposed to use as associative memories. We establish the scaling laws relating the maximum number of «useful» attractors and the radius of the attraction basin to the number of automata. A by-product of our analysis is a better choice for thresholds which doubles the performances in terms of the maximum number of «useful» attractors Les reseaux d'automates a seuil sont des systemes dynamiques a structure aleatoire semblables aux verres de spins dont J. Hopfield a propose l'application comme memoires associatives. Nous etablissons les lois d'echelles reliant le nombre maximum d'attracteurs utiles et la distance d'attraction, au nombre des automates du reseau. Notre approche permet aussi un meilleur choix des seuils, ce qui double les performances du reseau en nombre d'attracteurs.
阈值自动机网络是具有大量吸引子的随机动态系统,Hopfield提出将其作为联想记忆。我们建立了“有用”吸引子的最大数目和吸引盆半径与自动机数目之间的标度律。我们分析的副产品是一个更好的阈值选择,就“有用”吸引子的最大数量而言,阈值的性能增加了一倍。Les reseaux d’automates、seseil sonds、systemes dynamques、结构可变的可组装物、verres de spins和J. Hopfield提出了l’application comcommemorires associative。Nous的建立,如:loes d' echeles,依赖于nombre,最大值d' attracters,效用,距离d'attraction,和nombre des automates du rerees。巴黎的方法允许我们选择美丽的风景,而不是双色的风景,或者是双色的风景。
{"title":"Scaling laws for the attractors of Hopfield networks","authors":"G. Weisbuch, F. Fogelman-Soulié","doi":"10.1051/JPHYSLET:019850046014062300","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046014062300","url":null,"abstract":"Networks of threshold automata are random dynamical systems with a large number of attractors, which J. Hopfield proposed to use as associative memories. We establish the scaling laws relating the maximum number of «useful» attractors and the radius of the attraction basin to the number of automata. A by-product of our analysis is a better choice for thresholds which doubles the performances in terms of the maximum number of «useful» attractors Les reseaux d'automates a seuil sont des systemes dynamiques a structure aleatoire semblables aux verres de spins dont J. Hopfield a propose l'application comme memoires associatives. Nous etablissons les lois d'echelles reliant le nombre maximum d'attracteurs utiles et la distance d'attraction, au nombre des automates du reseau. Notre approche permet aussi un meilleur choix des seuils, ce qui double les performances du reseau en nombre d'attracteurs.","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"6 1","pages":"623-630"},"PeriodicalIF":0.0,"publicationDate":"1985-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88184628","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}
Pub Date : 1985-07-01DOI: 10.1051/JPHYSLET:019850046013060900
P. Bassereau, J. Marignan, J. Appell, Groupe de Dynamique, Phases Condensées, Montpellier Cédex, Greco Microémulsions
Le diagramme de phase du systeme ternaire OBS-pentanol-eau presente un etroit passage apparemment continu reliant les domaines d'existence de L 1 et de L 2 . Il presente aussi une petite region triphasique, qui est habituellement plutot caracteristique d'une situation ou L 1 et L 2 sont separes. Associes a ce caractere limite, des phenomenes physiques originaux sont observes et etudies dans le passage etroit. Un scenario plausible pour l'inversion topologique de structure est propose pour cette situation particuliere
{"title":"Transition from L1 to L2 in a ternary system (OBS-pentanol-water): a borderline case between continuous and discontinuous topological inversion","authors":"P. Bassereau, J. Marignan, J. Appell, Groupe de Dynamique, Phases Condensées, Montpellier Cédex, Greco Microémulsions","doi":"10.1051/JPHYSLET:019850046013060900","DOIUrl":"https://doi.org/10.1051/JPHYSLET:019850046013060900","url":null,"abstract":"Le diagramme de phase du systeme ternaire OBS-pentanol-eau presente un etroit passage apparemment continu reliant les domaines d'existence de L 1 et de L 2 . Il presente aussi une petite region triphasique, qui est habituellement plutot caracteristique d'une situation ou L 1 et L 2 sont separes. Associes a ce caractere limite, des phenomenes physiques originaux sont observes et etudies dans le passage etroit. Un scenario plausible pour l'inversion topologique de structure est propose pour cette situation particuliere","PeriodicalId":14822,"journal":{"name":"Journal De Physique Lettres","volume":"69 1","pages":"609-616"},"PeriodicalIF":0.0,"publicationDate":"1985-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84771079","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}