@ARTICLE{Bar-Sinai2017-uy,
  title    = "Gaussian fluctuations of spatially inhomogeneous polymers",
  author   = "Bar-Sinai, Yohai and Bouchbinder, Eran",
  abstract = "Inhomogeneous polymers, such as partially cofilin-bound actin
              filaments, play an important role in various natural and
              biotechnological systems. At finite temperatures, inhomogeneous
              polymers exhibit non-trivial thermal fluctuations. More broadly,
              these are relatively simple examples of fluctuations in spatially
              inhomogeneous systems, which are less understood compared to
              their homogeneous counterparts. Here we develop a statistical
              theory of torsional, extensional and bending Gaussian
              fluctuations of inhomogeneous polymers (chains), where the
              inhomogeneity is an inclusion of variable size and stiffness,
              using both continuum and discrete approaches. First, we
              analytically calculate the complete eigenvalue and eigenmode
              spectra within a continuum field theory. In particular, we show
              that the wavenumber inside and outside of the inclusion is nearly
              linear in the eigenvalue index, with a nontrivial coefficient.
              Second, we solve the corresponding discrete problem and highlight
              fundamental differences between the continuum and discrete
              spectra. In particular, we demonstrate that above a certain
              wavenumber the discrete spectrum changes qualitatively and
              discrete evanescent eigenmodes, which do not have continuum
              counterparts, emerge. The implications of these differences are
              explored by calculating fluctuation-induced forces associated
              with free-energy variations with either the inclusion properties
              (e.g. inhomogeneity formed by adsorbing molecules) or with an
              external geometric constraint. The former, which is the
              fluctuation-induced contribution to the adsorbing molecule
              binding force, is shown to be affected by short wavelengths and
              thus cannot be calculated using the continuum approach. The
              latter, on the other hand, is shown to be dominated by long
              wavelength shape fluctuations and hence is properly described by
              the continuum theory.",
  journal  = "Soft Matter",
  volume   =  13,
  number   =  5,
  pages    = "995--1005",
  month    =  feb,
  year     =  2017,
  language = "en"
}

{"_id":"voKgsouqfTM8NeAxp","bibbaseid":"barsinai-bouchbinder-gaussianfluctuationsofspatiallyinhomogeneouspolymers-2017","author_short":["Bar-Sinai, Y.","Bouchbinder, E."],"bibdata":{"bibtype":"article","type":"article","title":"Gaussian fluctuations of spatially inhomogeneous polymers","author":[{"propositions":[],"lastnames":["Bar-Sinai"],"firstnames":["Yohai"],"suffixes":[]},{"propositions":[],"lastnames":["Bouchbinder"],"firstnames":["Eran"],"suffixes":[]}],"abstract":"Inhomogeneous polymers, such as partially cofilin-bound actin filaments, play an important role in various natural and biotechnological systems. At finite temperatures, inhomogeneous polymers exhibit non-trivial thermal fluctuations. More broadly, these are relatively simple examples of fluctuations in spatially inhomogeneous systems, which are less understood compared to their homogeneous counterparts. Here we develop a statistical theory of torsional, extensional and bending Gaussian fluctuations of inhomogeneous polymers (chains), where the inhomogeneity is an inclusion of variable size and stiffness, using both continuum and discrete approaches. First, we analytically calculate the complete eigenvalue and eigenmode spectra within a continuum field theory. In particular, we show that the wavenumber inside and outside of the inclusion is nearly linear in the eigenvalue index, with a nontrivial coefficient. Second, we solve the corresponding discrete problem and highlight fundamental differences between the continuum and discrete spectra. In particular, we demonstrate that above a certain wavenumber the discrete spectrum changes qualitatively and discrete evanescent eigenmodes, which do not have continuum counterparts, emerge. The implications of these differences are explored by calculating fluctuation-induced forces associated with free-energy variations with either the inclusion properties (e.g. inhomogeneity formed by adsorbing molecules) or with an external geometric constraint. The former, which is the fluctuation-induced contribution to the adsorbing molecule binding force, is shown to be affected by short wavelengths and thus cannot be calculated using the continuum approach. The latter, on the other hand, is shown to be dominated by long wavelength shape fluctuations and hence is properly described by the continuum theory.","journal":"Soft Matter","volume":"13","number":"5","pages":"995–1005","month":"February","year":"2017","language":"en","bibtex":"@ARTICLE{Bar-Sinai2017-uy,\n title = \"Gaussian fluctuations of spatially inhomogeneous polymers\",\n author = \"Bar-Sinai, Yohai and Bouchbinder, Eran\",\n abstract = \"Inhomogeneous polymers, such as partially cofilin-bound actin\n filaments, play an important role in various natural and\n biotechnological systems. At finite temperatures, inhomogeneous\n polymers exhibit non-trivial thermal fluctuations. More broadly,\n these are relatively simple examples of fluctuations in spatially\n inhomogeneous systems, which are less understood compared to\n their homogeneous counterparts. Here we develop a statistical\n theory of torsional, extensional and bending Gaussian\n fluctuations of inhomogeneous polymers (chains), where the\n inhomogeneity is an inclusion of variable size and stiffness,\n using both continuum and discrete approaches. First, we\n analytically calculate the complete eigenvalue and eigenmode\n spectra within a continuum field theory. In particular, we show\n that the wavenumber inside and outside of the inclusion is nearly\n linear in the eigenvalue index, with a nontrivial coefficient.\n Second, we solve the corresponding discrete problem and highlight\n fundamental differences between the continuum and discrete\n spectra. In particular, we demonstrate that above a certain\n wavenumber the discrete spectrum changes qualitatively and\n discrete evanescent eigenmodes, which do not have continuum\n counterparts, emerge. The implications of these differences are\n explored by calculating fluctuation-induced forces associated\n with free-energy variations with either the inclusion properties\n (e.g. inhomogeneity formed by adsorbing molecules) or with an\n external geometric constraint. The former, which is the\n fluctuation-induced contribution to the adsorbing molecule\n binding force, is shown to be affected by short wavelengths and\n thus cannot be calculated using the continuum approach. The\n latter, on the other hand, is shown to be dominated by long\n wavelength shape fluctuations and hence is properly described by\n the continuum theory.\",\n journal = \"Soft Matter\",\n volume = 13,\n number = 5,\n pages = \"995--1005\",\n month = feb,\n year = 2017,\n language = \"en\"\n}\n\n","author_short":["Bar-Sinai, Y.","Bouchbinder, E."],"key":"Bar-Sinai2017-uy","id":"Bar-Sinai2017-uy","bibbaseid":"barsinai-bouchbinder-gaussianfluctuationsofspatiallyinhomogeneouspolymers-2017","role":"author","urls":{},"metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://bibbase.org/network/files/QYQSs4f3keAmJAKL6","dataSources":["ev57NQc27K6nhh3hk"],"keywords":[],"search_terms":["gaussian","fluctuations","spatially","inhomogeneous","polymers","bar-sinai","bouchbinder"],"title":"Gaussian fluctuations of spatially inhomogeneous polymers","year":2017}