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      Introduction to statistical mechanics of charged systems

      research-article
      Brazilian Journal of Physics
      Sociedade Brasileira de Física

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          Abstract

          The paper is the summary of lectures given in São Carlos, Brazil during the 2004 Summer School on Statistical Mechanics. My objective was to provide the students with some basic tools necessary to study the thermodynamics of Coulomb systems. I have restricted myself to simple models and techniques, which nevertheless, when used correctly can give a clear insight into the fundamental physics behind various complex phenomena that appear when the interactions between the system's constituents are dominated by the long ranged Coulomb force.

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          Colloidal Dispersions

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            Photo-induced charge transfer across the interface between organic molecular crystals and polymers

            Photo-induced charge transfer of positive and negative charges across the interface between an ordered organic semiconductor and a polymeric insulator is observed in the field-effect experiments. Immobilization of the transferred charge in the polymer results in a shift of the field-effect threshold of polaronic conduction along the interface in the semiconductor, which allows for direct measurements of the charge transfer rate. The transfer occurs when the photon energy exceeds the absorption edge of the semiconductor. The direction of the transverse electric field at the interface determines the sign of the transferred charge; the transfer rate is controlled by the field magnitude and light intensity.
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              Caustic activation of rain showers

              We show quantitatively how the collision rate of droplets of visible moisture in turbulent air increases very abruptly as the intensity of the turbulence passes a threshold, due to the formation of fold caustics in their velocity field. The formation of caustics is an activated process, in which a measure of the intensity of the turbulence, termed the Stokes number St, is analogous to temperature in a chemical reaction: the rate of collision contains a factor exp(-C/St). Our results are relevant to the long-standing problem of explaining the rapid onset of rainfall from convecting clouds. Our theory does not involve spatial clustering of particles.
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                Author and article information

                Journal
                bjp
                Brazilian Journal of Physics
                Braz. J. Phys.
                Sociedade Brasileira de Física (São Paulo, SP, Brazil )
                0103-9733
                1678-4448
                September 2004
                : 34
                : 3b
                : 1158-1176
                Affiliations
                [01] Porto Alegre RS orgnameUniversidade Federal do Rio Grande do Sul orgdiv1Instituto de Física Brazil
                Article
                S0103-97332004000600006 S0103-9733(04)03400306
                10.1590/S0103-97332004000600006
                e2ea2952-17f7-45d2-b9bd-7638af633968

                This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

                History
                : 10 May 2004
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 101, Pages: 19
                Product

                SciELO Brazil


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