From sol to gel exactly
The time evolution of a disperse system wherein the binary coagulation alone governs the temporal changes of particle mass spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the coalescing particles. This model is known to reveal the sol-g...
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| Veröffentlicht in: | Physical review letters 2004-11, Vol.93 (19), p.198302.1-198302.4, Article 198302 |
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| container_end_page | 198302.4 |
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| container_issue | 19 |
| container_start_page | 198302.1 |
| container_title | Physical review letters |
| container_volume | 93 |
| creator | LUSHNIKOV, A. A |
| description | The time evolution of a disperse system wherein the binary coagulation alone governs the temporal changes of particle mass spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the coalescing particles. This model is known to reveal the sol-gel transition, i.e., the formation of a cluster with mass comparable to the total mass of the whole system. This Letter reports on the exact solution of this model. The single-particle mass spectrum is analyzed in the thermodynamic limit and it is demonstrated explicitly how the gel appears in the system. |
| doi_str_mv | 10.1103/PhysRevLett.93.198302 |
| format | Article |
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A</creatorcontrib><title>From sol to gel exactly</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>The time evolution of a disperse system wherein the binary coagulation alone governs the temporal changes of particle mass spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the coalescing particles. This model is known to reveal the sol-gel transition, i.e., the formation of a cluster with mass comparable to the total mass of the whole system. This Letter reports on the exact solution of this model. The single-particle mass spectrum is analyzed in the thermodynamic limit and it is demonstrated explicitly how the gel appears in the system.</description><subject>Chemistry</subject><subject>Colloidal gels. Colloidal sols</subject><subject>Colloidal state and disperse state</subject><subject>Exact sciences and technology</subject><subject>Gels and sols</subject><subject>General and physical chemistry</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNpNkEFLw0AQhRdRbK2ePSm96C11JtPs7hylWBUKiuh52WwnWkkazaZi_70tDdTTu3xv5vEpdYEwQgS6ef5Yxxf5mUnbjphGyJYgPVB9BMOJQRwfqj4AYcIApqdOYvwEAEy1PVY9zDSA5bSvzqdNXQ1jXQ7bevgu5VB-fWjL9ak6KnwZ5azLgXqb3r1OHpLZ0_3j5HaWBCLTJkQyD4ERrcUgRs9zm6Eem4zYB0_ix3kwwCSaOXhm2Uw32haUI3IaNA3U9e7uV1N_ryS2rlrEIGXpl1KvotMGLWm9BbMdGJo6xkYK99UsKt-sHYLbGnH_jDgmtzOy6V12D1Z5JfN9q1OwAa46wMfgy6Lxy7CIe04TMBpNfxTkad8</recordid><startdate>20041105</startdate><enddate>20041105</enddate><creator>LUSHNIKOV, A. 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A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>From sol to gel exactly</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2004-11-05</date><risdate>2004</risdate><volume>93</volume><issue>19</issue><spage>198302.1</spage><epage>198302.4</epage><pages>198302.1-198302.4</pages><artnum>198302</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><coden>PRLTAO</coden><abstract>The time evolution of a disperse system wherein the binary coagulation alone governs the temporal changes of particle mass spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the coalescing particles. This model is known to reveal the sol-gel transition, i.e., the formation of a cluster with mass comparable to the total mass of the whole system. This Letter reports on the exact solution of this model. The single-particle mass spectrum is analyzed in the thermodynamic limit and it is demonstrated explicitly how the gel appears in the system.</abstract><cop>Ridge, NY</cop><pub>American Physical Society</pub><pmid>15600892</pmid><doi>10.1103/PhysRevLett.93.198302</doi><tpages>1</tpages></addata></record> |
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| identifier | ISSN: 0031-9007 |
| ispartof | Physical review letters, 2004-11, Vol.93 (19), p.198302.1-198302.4, Article 198302 |
| issn | 0031-9007 1079-7114 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_67183666 |
| source | American Physical Society Journals |
| subjects | Chemistry Colloidal gels. Colloidal sols Colloidal state and disperse state Exact sciences and technology Gels and sols General and physical chemistry |
| title | From sol to gel exactly |
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