bd131cef1cc5bf7d6920540bd6625ec1 fluids_a2021v6n9p324.pdf e6a9ec28108128ebe16481cb530f75e33c4790f4 fluids_a2021v6n9p324.pdf a960f112db61ef7d0510d0a4763c001cf7285acc887e7459a27e78f8f09daf68 fluids_a2021v6n9p324.pdf Title: A Model of Two Quantum Fluids for the Low Energy Excited States of the Systems with Entities That Mimic the Magnetic Monopoles Subject: The low energy excitation states in frustrated magnetic structures can generate quasiparticles that behave as if they were magnetic charges. These excited states produce, in the so-called spin-ice materials, two different peaks of specific heat at temperatures less than 1.5 K. In this paper, we consider that the first structure is caused by the formation of fluid of magnetic dipoles configured by the dumbbell model with a boson nature in consonance with that described by Witten for mesons. The second structure, wider than the first one, corresponds to a plasma state that comes from the breaking of a great number of dipoles, which provokes the appearance of free magnetic charges, which constitute a cool magnetic plasma fluid. In this paper, we determine thermodynamic analytical functions: the thermo-potential and internal energy and their respective derivative physical magnitudes: entropy, and magnetic specific heat. We obtain results in a good concordance with the experimental data, which allow us to explain the phase transitions occurred in these spin-ice materials at very low temperatures. Keywords: magnetic monopoles; phase transitions; magnetic plasma; pseudospin model; thermodynamic; statistic physics Author: Fernando M. López-Aguilar and Fernando I. López-Bara Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Mon Sep 13 03:36:09 2021 CEST ModDate: Mon Sep 13 03:39:36 2021 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 14 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 17108969 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- BODDAB+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 GGUROB+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 IJHDLF+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 SOZKOC+VnURWPalladioL-Bold Type 1 Custom yes yes no 23 0 DDMOHK+VnURWPalladioL Type 1 Custom yes yes no 28 0 JPBPRV+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 36 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 58 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 62 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 66 0 SBLODT+CMEX10 Type 1 Builtin yes yes no 81 0 SPEJOA+EURB10 Type 1 Builtin yes yes no 85 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 89 0 QQXUPP+PazoMath Type 1 Builtin yes yes no 93 0 AGFSNM+CMSY10 Type 1 Builtin yes yes no 97 0 ZKZCDL+PazoMath-Italic Type 1 Builtin yes yes no 101 0 AOWVZT+EURB7 Type 1 Builtin yes yes no 108 0 QITBVI+MSBM10 Type 1 Builtin yes yes no 166 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-04-01 02:34:34 CEST RepresentationInformation: fluids_a2021v6n9p324.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-03-31 11:58:14 CEST Size: 17108969 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 406 FreeObjects: 11 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@44c8afef Item: Title: Hamiltonian and Isospin Structure Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Item: Title: Results on the Bosonic Condensation State Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: Plasma State of Quasi Free Magnetic Charges Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Results on the Plasma State Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Final Comments and Some Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Info: Title: A Model of Two Quantum Fluids for the Low Energy Excited States of the Systems with Entities That Mimic the Magnetic Monopoles Author: Fernando M. López-Aguilar and Fernando I. López-Bara Subject: The low energy excitation states in frustrated magnetic structures can generate quasiparticles that behave as if they were magnetic charges. These excited states produce, in the so-called spin-ice materials, two different peaks of specific heat at temperatures less than 1.5 K. In this paper, we consider that the first structure is caused by the formation of fluid of magnetic dipoles configured by the dumbbell model with a boson nature in consonance with that described by Witten for mesons. The second structure, wider than the first one, corresponds to a plasma state that comes from the breaking of a great number of dipoles, which provokes the appearance of free magnetic charges, which constitute a cool magnetic plasma fluid. In this paper, we determine thermodynamic analytical functions: the thermo-potential and internal energy and their respective derivative physical magnitudes: entropy, and magnetic specific heat. We obtain results in a good concordance with the experimental data, which allow us to explain the phase transitions occurred in these spin-ice materials at very low temperatures. Keywords: magnetic monopoles; phase transitions; magnetic plasma; pseudospin model; thermodynamic; statistic physics Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Mon Sep 13 03:36:09 CEST 2021 ModDate: Mon Sep 13 03:39:36 CEST 2021 ID: 0x22500bf06dbc31ad90b448a3f748929d, 0x22500bf06dbc31ad90b448a3f748929d Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: AGFSNM+CMSY10 FontSubset: true FirstChar: 0 LastChar: 112 FontDescriptor: FontName: AGFSNM+CMSY10 Flags: Symbolic FontBBox: -29, -960, 1116, 775 FontFile: true Font: BaseFont: ZKZCDL+PazoMath-Italic FontSubset: true FirstChar: 100 LastChar: 182 FontDescriptor: FontName: ZKZCDL+PazoMath-Italic Flags: Symbolic FontBBox: -70, -277, 902, 733 FontFile: true Font: BaseFont: QITBVI+MSBM10 FontSubset: true FirstChar: 125 LastChar: 125 FontDescriptor: FontName: QITBVI+MSBM10 Flags: Symbolic FontBBox: -55, -420, 2343, 920 FontFile: true Font: BaseFont: BODDAB+URWPalladioL-Ital FontSubset: true FirstChar: 3 LastChar: 121 FontDescriptor: FontName: BODDAB+URWPalladioL-Ital Flags: Symbolic FontBBox: -170, -305, 1010, 941 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: AOWVZT+EURB7 FontSubset: true FirstChar: 13 LastChar: 33 FontDescriptor: FontName: AOWVZT+EURB7 Flags: Symbolic FontBBox: -1, -247, 1316, 723 FontFile: true Font: BaseFont: GGUROB+URWPalladioL-Bold FontSubset: true FirstChar: 3 LastChar: 122 FontDescriptor: FontName: GGUROB+URWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: SBLODT+CMEX10 FontSubset: true FirstChar: 0 LastChar: 111 FontDescriptor: FontName: SBLODT+CMEX10 Flags: Symbolic FontBBox: -24, -2960, 1454, 772 FontFile: true Font: BaseFont: IJHDLF+URWPalladioL-Roma FontSubset: true FirstChar: 2 LastChar: 246 FontDescriptor: FontName: IJHDLF+URWPalladioL-Roma Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: SPEJOA+EURB10 FontSubset: true FirstChar: 11 LastChar: 34 FontDescriptor: FontName: SPEJOA+EURB10 Flags: Symbolic FontBBox: -30, -247, 1178, 723 FontFile: true Font: BaseFont: SOZKOC+VnURWPalladioL-Bold FontSubset: true FirstChar: 226 LastChar: 226 FontDescriptor: FontName: SOZKOC+VnURWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: SOSTRQ+CMR10 FontSubset: true FirstChar: 40 LastChar: 93 FontDescriptor: FontName: SOSTRQ+CMR10 Flags: Symbolic FontBBox: -40, -250, 1009, 750 FontFile: true Font: BaseFont: DDMOHK+VnURWPalladioL FontSubset: true FirstChar: 178 LastChar: 226 FontDescriptor: FontName: DDMOHK+VnURWPalladioL Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: QQXUPP+PazoMath FontSubset: true FirstChar: 229 LastChar: 229 FontDescriptor: FontName: QQXUPP+PazoMath Flags: Symbolic FontBBox: -40, -283, 878, 946 FontFile: true Pages: Page: Sequence: 1 Annotations: Annotation: Subtype: Link Rect: 35, 759, 137, 795 Annotation: Subtype: Link Rect: 515, 759, 560, 795 Annotation: Subtype: Link Rect: 168, 641, 179, 654 Annotation: Subtype: Link Rect: 134, 370, 154, 379 Annotation: Subtype: Link Rect: 35, 358, 154, 367 Annotation: Subtype: Link Rect: 35, 348, 79, 355 Annotation: Subtype: Link Rect: 35, 162, 97, 184 Annotation: Subtype: Link Rect: 153, 89, 154, 98 Annotation: Subtype: Link Rect: 35, 77, 147, 86 Annotation: Subtype: Link Rect: 211, 257, 218, 266 ActionDest: 180 Annotation: Subtype: Link Rect: 221, 257, 228, 266 ActionDest: 180 Annotation: Subtype: Link Rect: 341, 257, 348, 266 ActionDest: 180 Annotation: Subtype: Link Rect: 491, 232, 498, 241 ActionDest: 180 Annotation: Subtype: Link Rect: 549, 219, 556, 229 ActionDest: 180 Annotation: Subtype: Link Rect: 256, 194, 263, 203 ActionDest: 180 Annotation: Subtype: Link Rect: 266, 194, 278, 203 ActionDest: 180 Annotation: Subtype: Link Rect: 548, 119, 555, 128 ActionDest: 180 Annotation: Subtype: Link Rect: 101, 17, 242, 28 Annotation: Subtype: Link Rect: 414, 17, 558, 28 Annotation: Subtype: Link Rect: 35, 446, 87, 465 Page: Sequence: 2 Annotations: Annotation: Subtype: Link Rect: 529, 674, 541, 683 ActionDest: 180 Annotation: Subtype: Link Rect: 544, 674, 556, 683 ActionDest: 180 Annotation: Subtype: Link Rect: 332, 661, 344, 670 ActionDest: 180 Annotation: Subtype: Link Rect: 248, 611, 255, 620 ActionDest: 180 Annotation: Subtype: Link Rect: 258, 611, 270, 620 ActionDest: 180 Annotation: Subtype: Link Rect: 505, 586, 517, 595 ActionDest: 180 Annotation: Subtype: Link Rect: 481, 561, 493, 570 ActionDest: 180 Annotation: Subtype: Link Rect: 494, 561, 506, 570 ActionDest: 180 Annotation: Subtype: Link Rect: 270, 511, 282, 520 ActionDest: 180 Annotation: Subtype: Link Rect: 355, 498, 367, 507 ActionDest: 183 Annotation: Subtype: Link Rect: 195, 435, 207, 444 ActionDest: 183 Annotation: Subtype: Link Rect: 210, 435, 222, 444 ActionDest: 183 Annotation: Subtype: Link Rect: 212, 372, 224, 382 ActionDest: 183 Annotation: Subtype: Link Rect: 544, 272, 556, 281 ActionDest: 183 Annotation: Subtype: Link Rect: 268, 222, 280, 231 ActionDest: 183 Annotation: Subtype: Link Rect: 283, 222, 295, 231 ActionDest: 183 Annotation: Subtype: Link Rect: 525, 209, 537, 218 ActionDest: 183 Annotation: Subtype: Link Rect: 227, 172, 239, 181 ActionDest: 183 Annotation: Subtype: Link Rect: 305, 159, 317, 168 ActionDest: 183 Annotation: Subtype: Link Rect: 448, 84, 460, 93 ActionDest: 183 Page: Sequence: 3 Annotations: Annotation: Subtype: Link Rect: 438, 672, 450, 681 ActionDest: 183 Annotation: Subtype: Link Rect: 403, 609, 415, 618 ActionDest: 180 Annotation: Subtype: Link Rect: 350, 596, 357, 605 ActionDest: 180 Annotation: Subtype: Link Rect: 430, 597, 437, 605 ActionDest: 180 Annotation: Subtype: Link Rect: 289, 584, 301, 593 ActionDest: 183 Annotation: Subtype: Link Rect: 473, 584, 485, 593 ActionDest: 183 Annotation: Subtype: Link Rect: 493, 421, 505, 430 ActionDest: 183 Annotation: Subtype: Link Rect: 504, 87, 516, 96 ActionDest: 183 Annotation: Subtype: Link Rect: 516, 87, 528, 96 ActionDest: 183 Page: Sequence: 4 Annotations: Annotation: Subtype: Link Rect: 190, 610, 202, 619 ActionDest: 183 Annotation: Subtype: Link Rect: 205, 610, 217, 619 ActionDest: 183 Annotation: Subtype: Link Rect: 300, 597, 312, 606 ActionDest: 183 Annotation: Subtype: Link Rect: 454, 566, 465, 575 ActionDest: 183 Annotation: Subtype: Link Rect: 466, 566, 478, 575 ActionDest: 183 Annotation: Subtype: Link Rect: 519, 528, 531, 537 ActionDest: 183 Annotation: Subtype: Link Rect: 534, 528, 546, 537 ActionDest: 183 Annotation: Subtype: Link Rect: 379, 343, 391, 352 ActionDest: 183 Annotation: Subtype: Link Rect: 307, 288, 319, 297 ActionDest: 180 Annotation: Subtype: Link Rect: 242, 112, 254, 121 ActionDest: 183 Annotation: Subtype: Link Rect: 257, 112, 269, 121 ActionDest: 183 Page: Sequence: 5 Annotations: Annotation: Subtype: Link Rect: 483, 735, 495, 744 ActionDest: 183 Annotation: Subtype: Link Rect: 496, 735, 508, 744 ActionDest: 183 Annotation: Subtype: Link Rect: 201, 526, 208, 538 ActionDest: 112 Annotation: Subtype: Link Rect: 228, 526, 235, 538 ActionDest: 123 Annotation: Subtype: Link Rect: 295, 301, 302, 313 ActionDest: 112 Annotation: Subtype: Link Rect: 308, 163, 315, 175 ActionDest: 112 Page: Sequence: 6 Annotations: Annotation: Subtype: Link Rect: 418, 244, 425, 256 ActionDest: 112 Annotation: Subtype: Link Rect: 258, 196, 269, 205 ActionDest: 183 Annotation: Subtype: Link Rect: 229, 156, 236, 168 ActionDest: 123 Annotation: Subtype: Link Rect: 464, 146, 476, 155 ActionDest: 183 Annotation: Subtype: Link Rect: 472, 106, 479, 118 ActionDest: 123 Annotation: Subtype: Link Rect: 463, 81, 470, 93 ActionDest: 123 Annotation: Subtype: Link Rect: 197, 56, 204, 67 ActionDest: 123 Annotation: Subtype: Link Rect: 312, 56, 319, 68 ActionDest: 123 Annotation: Subtype: Link Rect: 447, 56, 454, 68 ActionDest: 123 Page: Sequence: 7 Annotations: Annotation: Subtype: Link Rect: 291, 732, 298, 744 ActionDest: 112 Annotation: Subtype: Link Rect: 287, 720, 294, 732 ActionDest: 123 Annotation: Subtype: Link Rect: 396, 697, 408, 706 ActionDest: 183 Annotation: Subtype: Link Rect: 411, 697, 422, 706 ActionDest: 183 Annotation: Subtype: Link Rect: 538, 657, 545, 669 ActionDest: 123 Annotation: Subtype: Link Rect: 508, 644, 515, 656 ActionDest: 123 Annotation: Subtype: Link Rect: 252, 534, 264, 543 ActionDest: 183 Annotation: Subtype: Link Rect: 267, 534, 279, 543 ActionDest: 183 Annotation: Subtype: Link Rect: 200, 456, 207, 468 ActionDest: 145 Annotation: Subtype: Link Rect: 227, 456, 234, 468 ActionDest: 145 Annotation: Subtype: Link Rect: 397, 443, 404, 455 ActionDest: 123 Annotation: Subtype: Link Rect: 427, 443, 434, 455 ActionDest: 145 Annotation: Subtype: Link Rect: 391, 418, 398, 430 ActionDest: 123 Annotation: Subtype: Link Rect: 197, 406, 204, 417 ActionDest: 112 Page: Sequence: 8 Annotations: Annotation: Subtype: Link Rect: 395, 343, 402, 354 ActionDest: 78 Annotation: Subtype: Link Rect: 508, 71, 514, 82 ActionDest: 112 Annotation: Subtype: Link Rect: 532, 71, 539, 82 ActionDest: 123 Annotation: Subtype: Link Rect: 491, 57, 498, 69 ActionDest: 145 Page: Sequence: 9 Annotations: Annotation: Subtype: Link Rect: 196, 641, 203, 653 ActionDest: 123 Annotation: Subtype: Link Rect: 403, 644, 415, 653 ActionDest: 183 Annotation: Subtype: Link Rect: 418, 644, 430, 653 ActionDest: 183 Annotation: Subtype: Link Rect: 478, 641, 485, 653 ActionDest: 145 Annotation: Subtype: Link Rect: 369, 619, 381, 628 ActionDest: 183 Annotation: Subtype: Link Rect: 384, 619, 396, 628 ActionDest: 183 Annotation: Subtype: Link Rect: 230, 578, 236, 590 ActionDest: 123 Annotation: Subtype: Link Rect: 513, 531, 525, 540 ActionDest: 183 Annotation: Subtype: Link Rect: 208, 440, 215, 452 ActionDest: 145 Annotation: Subtype: Link Rect: 180, 431, 192, 439 ActionDest: 183 Annotation: Subtype: Link Rect: 195, 430, 207, 439 ActionDest: 183 Annotation: Subtype: Link Rect: 292, 430, 304, 439 ActionDest: 183 Annotation: Subtype: Link Rect: 207, 283, 219, 292 ActionDest: 183 Annotation: Subtype: Link Rect: 454, 283, 466, 292 ActionDest: 183 Annotation: Subtype: Link Rect: 281, 258, 293, 267 ActionDest: 183 Annotation: Subtype: Link Rect: 257, 233, 269, 242 ActionDest: 183 Annotation: Subtype: Link Rect: 483, 174, 495, 183 ActionDest: 183 Annotation: Subtype: Link Rect: 410, 118, 421, 127 ActionDest: 183 Annotation: Subtype: Link Rect: 424, 118, 436, 127 ActionDest: 183 Page: Sequence: 10 Annotations: Annotation: Subtype: Link Rect: 418, 519, 425, 531 ActionDest: 145 Annotation: Subtype: Link Rect: 307, 444, 318, 453 ActionDest: 183 Annotation: Subtype: Link Rect: 322, 444, 334, 453 ActionDest: 183 Annotation: Subtype: Link Rect: 288, 326, 300, 335 ActionDest: 183 Annotation: Subtype: Link Rect: 301, 268, 308, 280 ActionDest: 145 Annotation: Subtype: Link Rect: 310, 169, 322, 179 ActionDest: 183 Annotation: Subtype: Link Rect: 370, 142, 377, 154 ActionDest: 145 Annotation: Subtype: Link Rect: 547, 117, 554, 129 ActionDest: 145 Page: Sequence: 11 Annotations: Annotation: Subtype: Link Rect: 387, 707, 394, 719 ActionDest: 145 Annotation: Subtype: Link Rect: 197, 597, 204, 609 ActionDest: 145 Annotation: Subtype: Link Rect: 427, 572, 433, 584 ActionDest: 145 Annotation: Subtype: Link Rect: 201, 386, 213, 396 ActionDest: 183 Annotation: Subtype: Link Rect: 216, 386, 228, 396 ActionDest: 183 Annotation: Subtype: Link Rect: 288, 359, 294, 371 ActionDest: 145 Annotation: Subtype: Link Rect: 444, 233, 451, 245 ActionDest: 145 Annotation: Subtype: Link Rect: 233, 173, 244, 182 ActionDest: 183 Annotation: Subtype: Link Rect: 465, 173, 477, 182 ActionDest: 183 Annotation: Subtype: Link Rect: 464, 160, 476, 169 ActionDest: 183 Annotation: Subtype: Link Rect: 509, 110, 521, 119 ActionDest: 183 Annotation: Subtype: Link Rect: 524, 110, 536, 119 ActionDest: 183 Annotation: Subtype: Link Rect: 192, 60, 204, 69 ActionDest: 180 Annotation: Subtype: Link Rect: 207, 60, 219, 69 ActionDest: 180 Page: Sequence: 12 Annotations: Annotation: Subtype: Link Rect: 418, 682, 425, 694 ActionDest: 112 Annotation: Subtype: Link Rect: 428, 682, 435, 694 ActionDest: 145 Annotation: Subtype: Link Rect: 354, 659, 366, 669 ActionDest: 183 Annotation: Subtype: Link Rect: 369, 659, 381, 669 ActionDest: 183 Annotation: Subtype: Link Rect: 337, 647, 349, 656 ActionDest: 183 Annotation: Subtype: Link Rect: 489, 619, 496, 631 ActionDest: 145 Annotation: Subtype: Link Rect: 214, 607, 221, 619 ActionDest: 145 Annotation: Subtype: Link Rect: 511, 607, 517, 619 ActionDest: 112 Annotation: Subtype: Link Rect: 543, 607, 550, 619 ActionDest: 123 Annotation: Subtype: Link Rect: 329, 597, 341, 606 ActionDest: 183 Annotation: Subtype: Link Rect: 344, 597, 356, 606 ActionDest: 183 Annotation: Subtype: Link Rect: 331, 534, 343, 543 ActionDest: 183 Annotation: Subtype: Link Rect: 208, 506, 215, 518 ActionDest: 123 Annotation: Subtype: Link Rect: 204, 496, 211, 506 ActionDest: 78 Annotation: Subtype: Link Rect: 231, 496, 238, 506 ActionDest: 105 Annotation: Subtype: Link Rect: 373, 406, 380, 418 ActionDest: 145 Annotation: Subtype: Link Rect: 314, 368, 321, 380 ActionDest: 163 Annotation: Subtype: Link Rect: 372, 356, 378, 368 ActionDest: 145 Annotation: Subtype: Link Rect: 547, 280, 554, 292 ActionDest: 145 Annotation: Subtype: Link Rect: 316, 192, 323, 204 ActionDest: 145 Annotation: Subtype: Link Rect: 332, 167, 339, 179 ActionDest: 145 Page: Sequence: 13 Annotations: Annotation: Subtype: Link Rect: 368, 722, 380, 731 ActionDest: 183 Annotation: Subtype: Link Rect: 299, 512, 336, 523 Annotation: Subtype: Link Rect: 413, 500, 451, 511 Annotation: Subtype: Link Rect: 91, 466, 128, 477 Annotation: Subtype: Link Rect: 360, 443, 398, 454 Annotation: Subtype: Link Rect: 59, 420, 97, 431 Annotation: Subtype: Link Rect: 190, 397, 227, 408 Annotation: Subtype: Link Rect: 450, 385, 487, 396 Annotation: Subtype: Link Rect: 104, 363, 142, 373 Annotation: Subtype: Link Rect: 59, 340, 97, 350 Annotation: Subtype: Link Rect: 452, 327, 489, 338 Annotation: Subtype: Link Rect: 496, 327, 532, 338 Annotation: Subtype: Link Rect: 255, 304, 293, 315 Annotation: Subtype: Link Rect: 299, 304, 335, 315 Annotation: Subtype: Link Rect: 514, 281, 552, 292 Annotation: Subtype: Link Rect: 393, 258, 430, 269 Annotation: Subtype: Link Rect: 263, 235, 300, 246 Annotation: Subtype: Link Rect: 306, 235, 342, 246 Annotation: Subtype: Link Rect: 291, 212, 329, 223 Annotation: Subtype: Link Rect: 249, 189, 287, 200 Annotation: Subtype: Link Rect: 520, 178, 557, 189 Annotation: Subtype: Link Rect: 372, 155, 410, 166 Annotation: Subtype: Link Rect: 59, 121, 97, 131 Annotation: Subtype: Link Rect: 150, 98, 188, 108 Annotation: Subtype: Link Rect: 280, 74, 317, 85 Annotation: Subtype: Link Rect: 432, 63, 469, 74 Page: Sequence: 14 Annotations: Annotation: Subtype: Link Rect: 136, 722, 173, 732 Annotation: Subtype: Link Rect: 179, 722, 216, 732 Annotation: Subtype: Link Rect: 428, 698, 466, 709 Annotation: Subtype: Link Rect: 472, 698, 508, 709 Annotation: Subtype: Link Rect: 91, 664, 128, 674 Annotation: Subtype: Link Rect: 135, 664, 171, 674 Annotation: Subtype: Link Rect: 108, 641, 146, 651 Annotation: Subtype: Link Rect: 492, 617, 529, 628 Annotation: Subtype: Link Rect: 428, 606, 465, 617 Annotation: Subtype: Link Rect: 422, 583, 460, 594 Annotation: Subtype: Link Rect: 251, 571, 288, 582 Annotation: Subtype: Link Rect: 336, 548, 373, 559 Annotation: Subtype: Link Rect: 59, 526, 97, 536 Annotation: Subtype: Link Rect: 103, 526, 139, 536 Annotation: Subtype: Link Rect: 520, 502, 557, 513 Annotation: Subtype: Link Rect: 378, 491, 415, 502 Annotation: Subtype: Link Rect: 348, 468, 385, 479 Annotation: Subtype: Link Rect: 371, 456, 409, 467 Annotation: Subtype: Link Rect: 159, 411, 197, 421 Annotation: Subtype: Link Rect: 350, 353, 387, 364 Annotation: Subtype: Link Rect: 488, 341, 525, 352 Annotation: Subtype: Link Rect: 59, 319, 97, 329 Annotation: Subtype: Link Rect: 103, 319, 139, 329 Annotation: Subtype: Link Rect: 212, 295, 250, 306 Annotation: Subtype: Link Rect: 173, 272, 211, 283 Annotation: Subtype: Link Rect: 127, 250, 164, 260 Annotation: Subtype: Link Rect: 59, 215, 97, 226 Checksum: 37532579 Type: CRC32 Checksum: bd131cef1cc5bf7d6920540bd6625ec1 Type: MD5 Checksum: e6a9ec28108128ebe16481cb530f75e33c4790f4 Type: SHA-1