標(biāo)題: Titlebook: Excluded Volume Effects in Polymer Solutions; as Explained by the Lothar Sch?fer Book 1999 Springer-Verlag Berlin Heidelberg 1999 Critical [打印本頁] 作者: 頌歌 時間: 2025-3-21 18:06
書目名稱Excluded Volume Effects in Polymer Solutions影響因子(影響力)
書目名稱Excluded Volume Effects in Polymer Solutions影響因子(影響力)學(xué)科排名
書目名稱Excluded Volume Effects in Polymer Solutions網(wǎng)絡(luò)公開度
書目名稱Excluded Volume Effects in Polymer Solutions網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Excluded Volume Effects in Polymer Solutions被引頻次
書目名稱Excluded Volume Effects in Polymer Solutions被引頻次學(xué)科排名
書目名稱Excluded Volume Effects in Polymer Solutions年度引用
書目名稱Excluded Volume Effects in Polymer Solutions年度引用學(xué)科排名
書目名稱Excluded Volume Effects in Polymer Solutions讀者反饋
書目名稱Excluded Volume Effects in Polymer Solutions讀者反饋學(xué)科排名
作者: adipose-tissue 時間: 2025-3-21 21:08
From a Microscopic Description to Simple Models: Some Folk-Lores little to do with a realistic microscopic description of macromolecules in a solvent. Indeed we use a kind of of ‘spring and bead’ model, where the macromolecule is replaced by a sequence of elastic springs connecting small (point-like) beads, which repel each other. Of all the microscopic structu作者: 媽媽不開心 時間: 2025-3-22 01:19 作者: epinephrine 時間: 2025-3-22 08:00
Grand Canonical Description of Solutions at Finite Concentratione molecules contained in volume . is allowed to fluctuate. We only control the average concentration . via the chemical potential μ.. This has great technical advantages, allowing for a very simple analysis of the thermodynamic limit. In contrast, in the canonical ensemble, where the particle number作者: 襲擊 時間: 2025-3-22 12:45
Breakdown of the Expansions in the Excluded Volume Regionsired. We want to examine here whether this theory is indeed valid in all the parameter space of interest. We first consider quantities involving only a few chains, to be treated by the cluster expansion as derived in Chap. 4.作者: deviate 時間: 2025-3-22 14:18
Continuous Chain Model and Naive Two Parameter Theorymost naturally is formulated in terms of Edwards’ continuous chain model [Edw65, Edw66]. In the context of our general presentation of renormalization group theory this is not an essential topic, but in explicit calculations to be presented later we make use of the simplifications brought about by t作者: deviate 時間: 2025-3-22 19:29
The Renormalization Group: Fundamental Aspects involves a large amount of arbitrariness. Thus there should exist a mapping from segments of size ? = ?. to segments of size ?. which does not change macroscopic observables. It also should not affect the basic structure of the model, viz. Gaussian segments interacting via some local two-body repul作者: CRATE 時間: 2025-3-22 22:23 作者: 客觀 時間: 2025-3-23 04:42 作者: pellagra 時間: 2025-3-23 07:31 作者: aqueduct 時間: 2025-3-23 12:06 作者: Fulsome 時間: 2025-3-23 15:01
The Renormalized Tree Approximation: a Simple Illustration of the Theoryg functions. We thus can study the effect of renormalization and RG flow without struggling with the technical complexities of higher loop orders. We will see the results of scaling theory and blob model emerging naturally from our form of the renormalized theory, and we will encounter the character作者: rods366 時間: 2025-3-23 18:05 作者: 抱怨 時間: 2025-3-23 22:25 作者: Banister 時間: 2025-3-24 02:36
Quantitative Form of the Renormalization Group MappingIn quantitative calculations we use the renormalization group to map the system from its critical region to an uncritical parameter region, where low order perturbation theory can be expected to yield good results. We thus need two ingredients: a good representation of the renormalization group and a sensible condition fixing the uncritical region.作者: conspicuous 時間: 2025-3-24 07:35
Book 1999 to experiment. Empirical methods of data analysis are critically discussed. The final (fifth) part is devoted to extensions of theory. The first three parts of this book may serve as the basis of a course. Parts four and five are hoped to be useful for detailed quantitative evaluations of experiments.作者: 負(fù)擔(dān) 時間: 2025-3-24 13:13
From Square Tiles to Algebraic Inequalities,al microstructure of the spring and bead model. We then turn to a more detailed evaluation of the endpoint Greensfunction, which is closely related to the endpoint correlation function (Sect. 3.3). This serves to derive results used in Sects. 3.1 and 3.2, and it is a necessary prerequisite of perturbation theory.作者: constitutional 時間: 2025-3-24 18:00
The Noninteracting Gaussian Chainal microstructure of the spring and bead model. We then turn to a more detailed evaluation of the endpoint Greensfunction, which is closely related to the endpoint correlation function (Sect. 3.3). This serves to derive results used in Sects. 3.1 and 3.2, and it is a necessary prerequisite of perturbation theory.作者: 擁護(hù)者 時間: 2025-3-24 20:37 作者: xanthelasma 時間: 2025-3-25 01:29
Dimensional Regularization and Minimal Subtraction1, we have some freedom there. We will use the scheme of ‘dimensional regularization’ and ‘minimal subtraction’. This scheme is most efficient for actual calculations, but its underlying basis is a little bit delicate. It needs some careful explanation.作者: Intervention 時間: 2025-3-25 04:32 作者: LURE 時間: 2025-3-25 10:05 作者: AMPLE 時間: 2025-3-25 14:12
From a Microscopic Description to Simple Models: Some Folk-Lorere present in a real polymer molecule we thus keep only the features of chain connectedness and repulsion among chain units. (The reader interested in short range properties of other model chains might consult the books of Flory, Yamakawa, or Freed.)作者: 平項山 時間: 2025-3-25 19:14 作者: ALTER 時間: 2025-3-25 22:03 作者: companion 時間: 2025-3-26 01:04 作者: 哀求 時間: 2025-3-26 05:52 作者: 兩棲動物 時間: 2025-3-26 12:19
Homology, Characters, and Morphometric Data, most direct measure of the average interaction among macromolecules is provided by the second virial coefficient . of the osmotic pressure ., which, deviating from the standard definition, we define in terms of the expansion of ./. in powers of the number concentration . of polymer molecules in the solution. (. is Boltzmann’s constant) 作者: 聯(lián)邦 時間: 2025-3-26 16:14
Engineering and Technology Educationructure exhibited by renormalization. Indeed, the renormalization group can be interpreted as establishing a nontrivial version of two parameter theory. As a further topic we in the present chapter establish the connection to standard field theory of critical phenomena.作者: 假設(shè) 時間: 2025-3-26 20:41
Fostering Innovation and Entrepreneurshipns more precisely in terms of the .. This is to be amended by the ., assuming that with increasing size of the elementary segment the excluded volume constant tends to some finite limiting value. Universal scaling and power laws follow naturally.作者: 展覽 時間: 2025-3-26 21:06 作者: Brochure 時間: 2025-3-27 02:50 作者: 潰爛 時間: 2025-3-27 07:01
Power Laws, Scaling, Universal Crossover — a Survey of Phenomenology most direct measure of the average interaction among macromolecules is provided by the second virial coefficient . of the osmotic pressure ., which, deviating from the standard definition, we define in terms of the expansion of ./. in powers of the number concentration . of polymer molecules in the solution. (. is Boltzmann’s constant) 作者: 要素 時間: 2025-3-27 10:23 作者: 外科醫(yī)生 時間: 2025-3-27 14:46
The Renormalization Group: Fundamental Aspectsns more precisely in terms of the .. This is to be amended by the ., assuming that with increasing size of the elementary segment the excluded volume constant tends to some finite limiting value. Universal scaling and power laws follow naturally.作者: BIBLE 時間: 2025-3-27 19:22
Scaling Theoryws and to guess the shape of the scaling functions. A prominent role is played by the power law . ~ ., valid for isolated chains in the excluded volume limit. Within scaling theory this law is taken as input introducing the exponent ν.作者: 一個姐姐 時間: 2025-3-28 01:59 作者: 純樸 時間: 2025-3-28 05:34
Book 1999ved from scratch. The second part illustrates the basic ideas of the renormalization group (RG). The crucial role of dilation invariance is stressed. The more efficient method of dimensional regularization and minimal subtractions is worked out in part three. The fourth part contains a unified evalu作者: 存心 時間: 2025-3-28 09:31
978-3-642-64254-8Springer-Verlag Berlin Heidelberg 1999作者: LUT 時間: 2025-3-28 13:51 作者: 正式通知 時間: 2025-3-28 18:25 作者: 撫慰 時間: 2025-3-28 21:32
From Square Tiles to Algebraic Inequalities,rt of different chains. We thus ignore all excluded volume effects, essentially treating a model chain at its Θ-point. We first consider the correlations among individual segments of the chain (Sect. 3.1), which are all found to be given by simple Gaussian functions. We then discuss the segment dens作者: 有偏見 時間: 2025-3-29 01:42 作者: 心胸狹窄 時間: 2025-3-29 07:06 作者: GEST 時間: 2025-3-29 09:24 作者: 小畫像 時間: 2025-3-29 14:20 作者: 襲擊 時間: 2025-3-29 16:51
Post-Malthusian Dilemmas in Agriculture 4.0,rst we identify the macroscopically relevant length scales, and we use dimensional analysis to write the observables as functions of dimensionless combinations of these variables. Here the essential assumption is that no microscopic scales like ? come in and that we identified all macroscopic scales作者: 約會 時間: 2025-3-29 21:23 作者: Cantankerous 時間: 2025-3-30 02:16
,A People’s Liberation in South Africa,re’ (i.e. unrenormalized) perturbation theory, we introduce model-dependent terms masking the expected universal behavior of the scaling functions. Can we construct a better version of the theory, clearly distinguishing universal from model-dependent features?作者: aplomb 時間: 2025-3-30 04:36
https://doi.org/10.1007/978-3-319-41435-5cific choice of the renormalization factors. For quantitative calculations we of course have to specify the . factors, and as pointed out in Sect. 11.1, we have some freedom there. We will use the scheme of ‘dimensional regularization’ and ‘minimal subtraction’. This scheme is most efficient for act作者: 新鮮 時間: 2025-3-30 09:46
Race, Gender, and the SISE Approach,g functions. We thus can study the effect of renormalization and RG flow without struggling with the technical complexities of higher loop orders. We will see the results of scaling theory and blob model emerging naturally from our form of the renormalized theory, and we will encounter the character作者: LIMN 時間: 2025-3-30 15:57 作者: A保存的 時間: 2025-3-30 19:29 作者: 門窗的側(cè)柱 時間: 2025-3-30 21:49
Innovation in the National Security Arena,ortance: can we justify our simple model? Are we really allowed to ignore many-body interactions or other features of a microscopically realistic description of the polymer solution? On a very superficial level we discussed this problem in Sect. 2.2. Let us critically reconsider that argument.作者: outer-ear 時間: 2025-3-31 04:13
,A People’s Liberation in South Africa,re’ (i.e. unrenormalized) perturbation theory, we introduce model-dependent terms masking the expected universal behavior of the scaling functions. Can we construct a better version of the theory, clearly distinguishing universal from model-dependent features?作者: Vulnerable 時間: 2025-3-31 07:46 作者: 抑制 時間: 2025-3-31 13:16 作者: 時代 時間: 2025-3-31 14:24
Renormalized Perturbation Theory and Field-Theoretic Renormalization Groupre’ (i.e. unrenormalized) perturbation theory, we introduce model-dependent terms masking the expected universal behavior of the scaling functions. Can we construct a better version of the theory, clearly distinguishing universal from model-dependent features?
