24 resultados para Scaling law

em Helda - Digital Repository of University of Helsinki


Relevância:

100.00% 100.00%

Publicador:

Resumo:

We study the energy current in a model of heat conduction, first considered in detail by Casher and Lebowitz. The model consists of a one-dimensional disordered harmonic chain of n i.i.d. random masses, connected to their nearest neighbors via identical springs, and coupled at the boundaries to Langevin heat baths, with respective temperatures T_1 and T_n. Let EJ_n be the steady-state energy current across the chain, averaged over the masses. We prove that EJ_n \sim (T_1 - T_n)n^{-3/2} in the limit n \to \infty, as has been conjectured by various authors over the time. The proof relies on a new explicit representation for the elements of the product of associated transfer matrices.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

A better understanding of the limiting step in a first order phase transition, the nucleation process, is of major importance to a variety of scientific fields ranging from atmospheric sciences to nanotechnology and even to cosmology. This is due to the fact that in most phase transitions the new phase is separated from the mother phase by a free energy barrier. This barrier is crossed in a process called nucleation. Nowadays it is considered that a significant fraction of all atmospheric particles is produced by vapor-to liquid nucleation. In atmospheric sciences, as well as in other scientific fields, the theoretical treatment of nucleation is mostly based on a theory known as the Classical Nucleation Theory. However, the Classical Nucleation Theory is known to have only a limited success in predicting the rate at which vapor-to-liquid nucleation takes place at given conditions. This thesis studies the unary homogeneous vapor-to-liquid nucleation from a statistical mechanics viewpoint. We apply Monte Carlo simulations of molecular clusters to calculate the free energy barrier separating the vapor and liquid phases and compare our results against the laboratory measurements and Classical Nucleation Theory predictions. According to our results, the work of adding a monomer to a cluster in equilibrium vapour is accurately described by the liquid drop model applied by the Classical Nucleation Theory, once the clusters are larger than some threshold size. The threshold cluster sizes contain only a few or some tens of molecules depending on the interaction potential and temperature. However, the error made in modeling the smallest of clusters as liquid drops results in an erroneous absolute value for the cluster work of formation throughout the size range, as predicted by the McGraw-Laaksonen scaling law. By calculating correction factors to Classical Nucleation Theory predictions for the nucleation barriers of argon and water, we show that the corrected predictions produce nucleation rates that are in good comparison with experiments. For the smallest clusters, the deviation between the simulation results and the liquid drop values are accurately modelled by the low order virial coefficients at modest temperatures and vapour densities, or in other words, in the validity range of the non-interacting cluster theory by Frenkel, Band and Bilj. Our results do not indicate a need for a size dependent replacement free energy correction. The results also indicate that Classical Nucleation Theory predicts the size of the critical cluster correctly. We also presents a new method for the calculation of the equilibrium vapour density, surface tension size dependence and planar surface tension directly from cluster simulations. We also show how the size dependence of the cluster surface tension in equimolar surface is a function of virial coefficients, a result confirmed by our cluster simulations.

Relevância:

60.00% 60.00%

Publicador:

Resumo:

A better understanding of the limiting step in a first order phase transition, the nucleation process, is of major importance to a variety of scientific fields ranging from atmospheric sciences to nanotechnology and even to cosmology. This is due to the fact that in most phase transitions the new phase is separated from the mother phase by a free energy barrier. This barrier is crossed in a process called nucleation. Nowadays it is considered that a significant fraction of all atmospheric particles is produced by vapor-to liquid nucleation. In atmospheric sciences, as well as in other scientific fields, the theoretical treatment of nucleation is mostly based on a theory known as the Classical Nucleation Theory. However, the Classical Nucleation Theory is known to have only a limited success in predicting the rate at which vapor-to-liquid nucleation takes place at given conditions. This thesis studies the unary homogeneous vapor-to-liquid nucleation from a statistical mechanics viewpoint. We apply Monte Carlo simulations of molecular clusters to calculate the free energy barrier separating the vapor and liquid phases and compare our results against the laboratory measurements and Classical Nucleation Theory predictions. According to our results, the work of adding a monomer to a cluster in equilibrium vapour is accurately described by the liquid drop model applied by the Classical Nucleation Theory, once the clusters are larger than some threshold size. The threshold cluster sizes contain only a few or some tens of molecules depending on the interaction potential and temperature. However, the error made in modeling the smallest of clusters as liquid drops results in an erroneous absolute value for the cluster work of formation throughout the size range, as predicted by the McGraw-Laaksonen scaling law. By calculating correction factors to Classical Nucleation Theory predictions for the nucleation barriers of argon and water, we show that the corrected predictions produce nucleation rates that are in good comparison with experiments. For the smallest clusters, the deviation between the simulation results and the liquid drop values are accurately modelled by the low order virial coefficients at modest temperatures and vapour densities, or in other words, in the validity range of the non-interacting cluster theory by Frenkel, Band and Bilj. Our results do not indicate a need for a size dependent replacement free energy correction. The results also indicate that Classical Nucleation Theory predicts the size of the critical cluster correctly. We also presents a new method for the calculation of the equilibrium vapour density, surface tension size dependence and planar surface tension directly from cluster simulations. We also show how the size dependence of the cluster surface tension in equimolar surface is a function of virial coefficients, a result confirmed by our cluster simulations.

Relevância:

30.00% 30.00%

Publicador:

Resumo:

Planar curves arise naturally as interfaces between two regions of the plane. An important part of statistical physics is the study of lattice models. This thesis is about the interfaces of 2D lattice models. The scaling limit is an infinite system limit which is taken by letting the lattice mesh decrease to zero. At criticality, the scaling limit of an interface is one of the SLE curves (Schramm-Loewner evolution), introduced by Oded Schramm. This family of random curves is parametrized by a real variable, which determines the universality class of the model. The first and the second paper of this thesis study properties of SLEs. They contain two different methods to study the whole SLE curve, which is, in fact, the most interesting object from the statistical physics point of view. These methods are applied to study two symmetries of SLE: reversibility and duality. The first paper uses an algebraic method and a representation of the Virasoro algebra to find common martingales to different processes, and that way, to confirm the symmetries for polynomial expected values of natural SLE data. In the second paper, a recursion is obtained for the same kind of expected values. The recursion is based on stationarity of the law of the whole SLE curve under a SLE induced flow. The third paper deals with one of the most central questions of the field and provides a framework of estimates for describing 2D scaling limits by SLE curves. In particular, it is shown that a weak estimate on the probability of an annulus crossing implies that a random curve arising from a statistical physics model will have scaling limits and those will be well-described by Loewner evolutions with random driving forces.

Relevância:

20.00% 20.00%

Publicador:

Resumo:

Fatigue and sleepiness are major causes of road traffic accidents. However, precise data is often lacking because a validated and reliable device for detecting the level of sleepiness (cf. the breathalyzer for alcohol levels) does not exist, nor does criteria for the unambiguous detection of fatigue/sleepiness as a contributing factor in accident causation. Therefore, identification of risk factors and groups might not always be easy. Furthermore, it is extremely difficult to incorporate fatigue in operationalized terms into either traffic or criminal law. The main aims of this thesis were to estimate the prevalence of fatigue problems while driving among the Finnish driving population, to explore how VALT multidisciplinary investigation teams, Finnish police, and courts recognize (and prosecute) fatigue in traffic, to identify risk factors and groups, and finally to explore the application of the Finnish Road Traffic Act (RTA), which explicitly forbids driving while tired in Article 63. Several different sources of data were used: a computerized database and the original folders of multidisciplinary teams investigating fatal accidents (VALT), the driver records database (AKE), prosecutor and court decisions, a survey of young male military conscripts, and a survey of a representative sample of the Finnish active driving population. The results show that 8-15% of fatal accidents during 1991-2001 were fatigue related, that every fifth Finnish driver has fallen asleep while driving at some point during his/her driving career, and that the Finnish police and courts punish on average one driver per day on the basis of fatigued driving (based on the data from the years 2004-2005). The main finding regarding risk factors and risk groups is that during the summer months, especially in the afternoon, the risk of falling asleep while driving is increased. Furthermore, the results indicate that those with a higher risk of falling asleep while driving are men in general, but especially young male drivers including military conscripts and the elderly during the afternoon hours and the summer in particular; professional drivers breaking the rules about duty and rest hours; and drivers with a tendency to fall asleep easily. A time-of-day pattern of sleep-related incidents was repeatedly found. It was found that VALT teams can be considered relatively reliable when assessing the role of fatigue and sleepiness in accident causation; thus, similar experts might be valuable in the court process as expert witnesses when fatigue or sleepiness are suspected to have a role in an accident’s origins. However, the application of Article 63 of the RTA that forbids, among other things, fatigued driving will continue to be an issue that deserves further attention. This should be done in the context of a needed attitude change towards driving while in a state of extreme tiredness (e.g., after being awake for more than 24 hours), which produces performance deterioration comparable to illegal intoxication (BAC around 0.1%). Regarding the well-known interactive effect of increased sleepiness and even small alcohol levels, the relatively high proportion (up to 14.5%) of Finnish drivers owning and using a breathalyzer raises some concern. This concern exists because these drivers are obviously more focused on not breaking the “magic” line of 0.05% BAC than being concerned about driving impairment, which might be much worse than they realize because of the interactive effects of increased sleepiness and even low alcohol consumption. In conclusion, there is no doubt that fatigue and sleepiness problems while driving are common among the Finnish driving population. While we wait for the invention of reliable devices for fatigue/sleepiness detection, we should invest more effort in raising public awareness about the dangerousness of fatigued driving and educate drivers about how to recognize and deal with fatigue and sleepiness when they ultimately occur.

Relevância:

20.00% 20.00%

Publicador:

Resumo:

This thesis examines posting of workers within the free movement of services in the European Union. The emphasis is on the case law of the European Court of Justice and in the role it has played in the liberalisation of the service sector in respect of posting of workers. The case law is examined from two different viewpoints: firstly, that of employment law and secondly, immigration law. The aim is to find out how active a role the Court has taken with regard these two fields of law and what are the implications of the Court’s judgments for the regulation on a national level. The first part of the thesis provides a general review of the Community law principles governing the freedom to provide services in the EU. The second part presents the Posted Workers’ Directive and the case law of the European Court of Justice before and after the enactment of the Directive from the viewpoint of employment law. Special attention is paid to a recent judgment in which the Court has taken a restrictive position with regard to a trade union’s right to take collective action against a service provider established in another Member State. The third part of the thesis concentrates, firstly, on the legal status of non-EU nationals lawfully resident in the EU. Secondly, it looks into the question of how the Court’s case law has affected the possibilities to use non-EU nationals as posted workers within the freedom to provide services. The final chapter includes a critical analysis of the Court’s case law on posted workers. The judgments of the European Court of Justice are the principal source of law for this thesis. In the primary legislation the focus is on Articles 49 EC and 50 EC that lay down the rules concerning the free movement of services. Within the secondary legislation, the present work principally concentrates on the Posted Workers’ Directive. It also examines proposals of the European Commission and directives that have been adopted in the field of immigration. The conclusions of the case study are twofold: while in the field of employment law, the European Court of Justice has based its judgments on a very literal interpretation of the Posted Workers’ Directive, in the field of immigration its conclusions have been much more innovative. In both fields of regulation the Court’s judgments have far-reaching implications for the rules concerning posting of workers leaving very little discretion for the Member States’ authorities.

Relevância:

20.00% 20.00%

Publicador:

Resumo:

After the Second World War the public was shocked to learn about the horrors perpetrated. As a response to the Holocaust, the newly established United Nations adopted the Genocide Convention of 1948 to prevent future genocides and to punish the perpetrators. The Convention remained, however, almost dead letter until the present day. In 1994, the long-lasted tension between the major groups of Hutu and Tutsi in Rwanda erupted in mass scale violence towards the Tutsi ethnic group. The purpose was to eradicate the Tutsi population of Rwanda. The international community did not halt the genocide. It stood by idle, failing to follow the swearing-in of the past. The United Nations established the International Criminal Tribunal for Rwanda (the ICTR) to bring to justice persons responsible for the genocide. Ever since its creation the ICTR has delivered a wealth of judgements elucidating the legal ingredients of the crime of genocide. The case law on determining the membership of national, ethnic, racial or religious groups has gradually shifted from the objective to subjective position. The membership of a group is seen as a subjective rather than objective concept. However, a totally subjective approach is not accepted. Therefore, it is necessary to determine some objective existence of a group. The provision on the underlying offences is not so difficult to interpret compared to the corresponding one on the protected groups and the mental element of genocide. The case law examined, e.g., whether there is any difference between the words killing and meurtre, the nature of mental harm caused by the perpetrator and sexual violence in the conflict. The mental element of genocide or dolus specialis of genocide is not thoroughly examined in the case law of the ICTR. In this regard, reference in made, in addition, to the case law of the other ad hoc Tribunal. The ICTR has made a significant contribution to the law of genocide and international criminal justice in general. The corpus of procedural and substantive law constitutes a basis for subsequent trials in international and hybrid tribunals. For national jurisdictions the jurisprudence on substantive law is useful while prosecuting international crimes.

Relevância:

20.00% 20.00%

Publicador:

Relevância:

20.00% 20.00%

Publicador:

Resumo:

This study addresses the issue of multilingualism in EU law. More specifically, it explores the implications of multilingualism for conceptualising legal certainty, a central principle of law both in domestic and EU legal systems. The main question addressed is how multilingualism and legal certainty may be reconciled in the EU legal system. The study begins with a discussion on the role of translation in drafting EU legislation and its implications for interpreting EU law at the European Court of Justice (ECJ). Uncertainty regarding the meaning of multilingual EU law and the interrelationship between multilingualism and ECJ methods of interpretation are explored. This analysis leads to questioning the importance of linguistic-semantic methods of interpretation, especially the role of comparing language versions for clarifying meaning and the ordinary meaning thesis, and to placing emphasis on other, especially the teleological, purpose-oriented method of interpretation. As regards the principle of legal certainty, the starting-point is a two-dimensional concept consisting of both formal and substantive elements; of predictability and acceptability. Formal legal certainty implies that laws and adjudication, in particular, must be predictable. Substantive legal certainty is related to rational acceptability of judicial decision-making placing emphasis on its acceptability to the legal community in question. Contrary to predictability that one might intuitively relate to linguistic-semantic methods of interpretation, the study suggests a new conception of legal certainty where purpose, telos, and other dynamic methods of interpretation are of particular significance for meaning construction in multilingual EU law. Accordingly, the importance of purposive, teleological interpretation as the standard doctrine of interpretation in a multilingual legal system is highlighted. The focus on rational, substantive acceptability results in emphasising discourse among legal actors among the EU legal community and stressing the need to give reasons in favour of proposed meaning in accordance with dynamic methods of interpretation including considerations related to purposes, aims, objectives and consequences. In this context, the role of ideal discourse situations and communicative action taking the form of interaction among the EU legal community in an ongoing dialogue especially in the preliminary ruling procedure is brought into focus. In order for this dialogue to function, it requires that the ECJ gives persuasive, convincing and acceptable reasons in justifying its decisions. This necessitates transparency, sincerity, and dialogue with the relevant audience.