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Rev. E"],"accepted":{"date-parts":[[2026,7,27]]},"abstract":"<jats:p>\n                    We study critical dynamics and phase-ordering kinetics in active model B (AMB) and its minimal extension, active model\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:mi mathvariant=\"normal\">B<\/a:mi>\n                        <a:mo>+<\/a:mo>\n                      <\/a:mrow>\n                    <\/a:math>\n                    (\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:mrow>\n                        <c:mi>AMB<\/c:mi>\n                        <c:mo>+<\/c:mo>\n                      <\/c:mrow>\n                    <\/c:math>\n                    ), using deterministic simulations in two dimensions. At criticality\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:msub>\n                          <d:mi>r<\/d:mi>\n                          <d:mi>c<\/d:mi>\n                        <\/d:msub>\n                        <d:mo>=<\/d:mo>\n                        <d:mn>0<\/d:mn>\n                      <\/d:mrow>\n                    <\/d:math>\n                    , both models display identical mean-field scaling despite nonequilibrium currents, with order-parameter decay with time as\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:mrow>\n                        <e:mi>m<\/e:mi>\n                        <e:mrow>\n                          <e:mo>(<\/e:mo>\n                          <e:mi>t<\/e:mi>\n                          <e:mo>)<\/e:mo>\n                        <\/e:mrow>\n                        <e:mo>\u223c<\/e:mo>\n                        <e:msup>\n                          <e:mi>t<\/e:mi>\n                          <e:mrow>\n                            <e:mo>\u2212<\/e:mo>\n                            <e:mi>\u03b1<\/e:mi>\n                          <\/e:mrow>\n                        <\/e:msup>\n                      <\/e:mrow>\n                    <\/e:math>\n                    , with\n                    <f:math xmlns:f=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <f:mrow>\n                        <f:mi>\u03b1<\/f:mi>\n                        <f:mo>=<\/f:mo>\n                        <f:mfrac>\n                          <f:mn>1<\/f:mn>\n                          <f:mn>4<\/f:mn>\n                        <\/f:mfrac>\n                      <\/f:mrow>\n                    <\/f:math>\n                    , and the dynamical exponent being\n                    <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <g:mrow>\n                        <g:mi>z<\/g:mi>\n                        <g:mo>=<\/g:mo>\n                        <g:mn>4<\/g:mn>\n                      <\/g:mrow>\n                    <\/g:math>\n                    . A generalized equal-area construction yields the binodal densities and phase diagram of\n                    <h:math xmlns:h=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <h:mrow>\n                        <h:mi>AMB<\/h:mi>\n                        <h:mo>+<\/h:mo>\n                      <\/h:mrow>\n                    <\/h:math>\n                    . For supercritical quenches, domain size grows as\n                    <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <i:mrow>\n                        <i:mi>L<\/i:mi>\n                        <i:mrow>\n                          <i:mo>(<\/i:mo>\n                          <i:mi>t<\/i:mi>\n                          <i:mo>)<\/i:mo>\n                        <\/i:mrow>\n                        <i:mo>\u223c<\/i:mo>\n                        <i:msup>\n                          <i:mi>t<\/i:mi>\n                          <i:mrow>\n                            <i:mn>1<\/i:mn>\n                            <i:mo>\/<\/i:mo>\n                            <i:mn>3<\/i:mn>\n                          <\/i:mrow>\n                        <\/i:msup>\n                        <i:mrow>\n                          <i:mo>(<\/i:mo>\n                          <i:mn>1<\/i:mn>\n                          <i:mo>+<\/i:mo>\n                          <i:mi>c<\/i:mi>\n                          <i:mo>\/<\/i:mo>\n                          <i:mo form=\"prefix\">ln<\/i:mo>\n                          <i:mi>t<\/i:mi>\n                          <i:mo>)<\/i:mo>\n                        <\/i:mrow>\n                      <\/i:mrow>\n                    <\/i:math>\n                    , revealing logarithmic corrections to the classic\n                    <k:math xmlns:k=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <k:msup>\n                        <k:mi>t<\/k:mi>\n                        <k:mrow>\n                          <k:mn>1<\/k:mn>\n                          <k:mo>\/<\/k:mo>\n                          <k:mn>3<\/k:mn>\n                        <\/k:mrow>\n                      <\/k:msup>\n                    <\/k:math>\n                    growth law; moreover, it is consistent with the functional renormalization group predictions for marginal activity in\n                    <l:math xmlns:l=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <l:mrow>\n                        <l:mi>d<\/l:mi>\n                        <l:mo>=<\/l:mo>\n                        <l:mn>2<\/l:mn>\n                      <\/l:mrow>\n                    <\/l:math>\n                    . The logarithmic corrections are clearly evident in both AMB and\n                    <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <m:mrow>\n                        <m:mi>AMB<\/m:mi>\n                        <m:mo>+<\/m:mo>\n                      <\/m:mrow>\n                    <\/m:math>\n                    in the macrophase-separated regime. However, in\n                    <n:math xmlns:n=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <n:mrow>\n                        <n:mi>AMB<\/n:mi>\n                        <n:mo>+<\/n:mo>\n                      <\/n:mrow>\n                    <\/n:math>\n                    , domain growth is arrested in the parameter regime where the active current opposes the formation of macroscopic clusters, leading to long-lived microphase-separated states.\n                  <\/jats:p>","DOI":"10.1103\/qktx-n35r","type":"journal-article","created":{"date-parts":[[2026,7,27]],"date-time":"2026-07-27T16:28:47Z","timestamp":1785169727000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Critical scaling and supercritical coarsening in active model\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mrow>\n                        <mml:mi mathvariant=\"normal\">B<\/mml:mi>\n                        <mml:mo>+<\/mml:mo>\n                      <\/mml:mrow>\n                    <\/mml:math>"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-4929-4791","authenticated-orcid":true,"given":"Abir","family":"Bhowmick","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00djv2c17","id-type":"ROR","asserted-by":"publisher"}],"name":"Indian Institute of Science Education and Research Kolkata"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5240-8396","authenticated-orcid":true,"given":"P. K.","family":"Mohanty","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00djv2c17","id-type":"ROR","asserted-by":"publisher"}],"name":"Indian Institute of Science Education and Research Kolkata"},{"id":[{"id":"https:\/\/ror.org\/01bf9rw71","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute for Physics of Complex Systems"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,17]]},"reference":[{"key":"qktx-n35rCc1R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/aa6bc5","type":"journal-article"},{"key":"qktx-n35rCc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.85.1143","type":"journal-article"},{"key":"qktx-n35rCc3R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1107583108","type":"journal-article"},{"key":"qktx-n35rCc4R1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0711437105","type":"journal-article"},{"key":"qktx-n35rCc5R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cocis.2016.01.003","type":"journal-article"},{"key":"qktx-n35rCc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.91.042310","type":"journal-article"},{"key":"qktx-n35rCc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.268001","type":"journal-article"},{"key":"qktx-n35rCc8R1","doi-asserted-by":"publisher","DOI":"10.1039\/C7CS00087A","type":"journal-article"},{"key":"qktx-n35rCc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.123.098001","type":"journal-article"},{"key":"qktx-n35rCc10R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-040821-115500","type":"journal-article"},{"key":"qktx-n35rCc11R1","doi-asserted-by":"publisher","DOI":"10.1039\/D4SM01387E","type":"journal-article"},{"key":"qktx-n35rCc12R1","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.107.117960","type":"journal-article"},{"key":"qktx-n35rCc13R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature11591","type":"journal-article"},{"key":"qktx-n35rCc14R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2715","type":"journal-article"},{"key":"qktx-n35rCc15R1","doi-asserted-by":"publisher","DOI":"10.3390\/cells10092197","type":"journal-article"},{"key":"qktx-n35rCc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.69.1269","type":"journal-article"},{"key":"qktx-n35rCc17R1","doi-asserted-by":"publisher","DOI":"10.1038\/38532","type":"journal-article"},{"key":"qktx-n35rCc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.078101","type":"journal-article"},{"key":"qktx-n35rCc19R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.90.138102","type":"journal-article"},{"key":"qktx-n35rCc20R1","volume-title":"Cell Motility","author":"T.\u00a0B. 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