By Prof. Shaofan Li, Prof. Bohua Sun (auth.)

"Advances in gentle topic Mechanics" is a compilation and choice of contemporary works in smooth topic mechanics by way of a gaggle of energetic researchers within the box. the most goals of this e-book are first to disseminate the most recent advancements in tender topic mechanics within the box of utilized and computational mechanics, and moment to introduce tender topic mechanics as a sub-discipline of soppy subject physics. As an incredible department of soppy topic physics, delicate topic mechanics has built quickly lately. the various novel techniques mentioned during this ebook are certain, akin to the coarse grained finite aspect technique for modeling colloidal adhesion, entropic elasticity, meshfree simulations of liquid crystal elastomers, simulations of DNA, and so forth. The publication is meant for researchers and graduate scholars within the box of mechanics, condensed subject physics and biomaterials.

Dr. Shaofan Li is a professor of the collage of California-Berkeley, U.S.A; Dr. Bohua sunlight is a professor of Cape Peninsula college of know-how, South Africa.

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45] Purohit P K, Nelson P C. Eﬀect of supercoiling on formation of proteinmediated DNA loops. Phys Rev E, 74: 061907, 2006. [46] Balaeﬀ A, Mahadevan L, Schulten K. Elastic rod model of a DNA loop in the lac operon. Phys Rev Lett, 83: 4900-4903, 1999. [47] Balaeﬀ A, Mahadevan L, Schulten K. Modeling DNA loops using the theory of elasticity. Phys Rev E, 73: 031919, 2006. [48] Villa E, Balaeﬀ A, Mahadevan L, et al. Multiscale method for simulating protein-DNA complexes. Multiscale Model Simul, 2: 527-553, 2004.

Stiﬀ chains and ﬁlaments under tension. Macromolecules, 28: 70167018, 1995. References 51 [17] Storm C, Nelson P C. Theory of high-force DNA stretching and over-stretching. Phys Rev E, 67: 051906-1-12, 2003. [18] Balaeﬀ A, Koudella C R, Mahadevan L. Modelling DNA loops using continuum and statistical mechanics. Phil Trans R Soc Lond A, 362: 1355-1371, 2004. [19] Odijk T. Polyelectrolytes near the rod limit. J Polym Sci, 15: 477-483, 1997. [20] Skolnick J, Fixman M. Electrostatic persistence length of a wormlike polyelectrolyte.

68) P (d) = A exp kB T where A is the constant to be determined, kB is Boltzmann’s constant, T is the absolute temperature, d is the distance between two bonded superatoms, and U is the ﬁne-scale bond stretching potential. 1) to homogenize the ﬁne-scale potential function for yielding the eﬀective potential for the coarsegrained model following Eqs. 62). As such, we characterize the eﬀective eq using the eﬀecbond constant k¯b and the eﬀective equilibrium distance r¯ij tive bond potential. 1, are used to characterize the parameters of the eﬀective bond angle potential.